Robert can mow a 600 square lawn in 1 hour and 20 minutes. How many lawns in the same size's can he mow in 8 hours?​

Answers

Answer 1
First off change everything to minutes. The 600 is irrelevant in this problem. He can mow this size in 80 minutes. 8 hours is 8x60= 480. 480/80 is 6 and therefore he can mow 6 lawns in this size in time of 8 hours

Related Questions

Will give brainliest

Answers

Answer:

Step-by-step explanation:

will give brainiest wrrwrwvrwvr

I need help with b and c please and thank you!!

Answers

Answer:

rjdjdj shiejd shsuisis shusisos

Complete the left-hand column of the table below following the steps indicated in the right-hand column to show that "sin a sin b = 1/2[cos(a-b)-cos(a+b)]" is an identity. Use the definitions of sum and difference formulas for cosine.

Answers

The equations which completes the left-hand column of the table are;

[tex] \frac{1}{2} \cdot \left(cos(a - b) - cos(a + b) \right)[/tex]

cos(a - b) - cos(a + b) = (cos(a)•cos(b) + sin(a)•sin(b)) - (cos(a)•cos(b) - sin(a)•sin(b))

sin(a)•sin(b) = (1/2)•(cos(a - b) - cos(a + b))

Which equations and identities complete the left-hand column of the table?

The given expression on the right is written as follows;

First row;

[tex] \frac{1}{2} \cdot \left(cos(a - b) - cos(a + b) \right)[/tex]

The definition of the sum and difference of cosine are;

cos(a - b) = cos(a)•cos(b) + sin(a)•sin(b)

cos(a + b) = cos(a)•cos(b) - sin(a)•sin(b)

Therefore;

Second row;

cos(a - b) - cos(a + b) = (cos(a)•cos(b) + sin(a)•sin(b)) - (cos(a)•cos(b) - sin(a)•sin(b))

cos(a - b) - cos(a + b) = 2•sin(a)•sin(b)

Which gives;

[tex] sin(a) \cdot sin(b) = \frac{1}{2} \cdot \left(cos(a - b) - cos(a + b) \right)[/tex]

Third row;

sin(a)•sin(b) = (1/2)•(cos(a - b) - cos(a + b))

Learn more about trigonometric functions here:

https://brainly.com/question/1143565

#SPJ1

In AABC, m/A = 15°, a = 9, and b = 12. Find c to the nearest tenth.
A. 20.0 B. 17.4 C. 8.4 D. 11.5​

Answers

Answer:

Step-by-step explanation:

This is a Law of Sines problem. The expanded formula is

[tex]\frac{sinA}{a} =\frac{sinB}{b} =\frac{sinC}{c}[/tex] where the capital letters are the angles and the lowercase letters are the side lengths. We only use 2 of these ratios at a time. And in order to do that, we can only have one unknown per set of ratios. I have angle A and side a, so I'll use that ratio, but I don't have angle C to help me find side c. I also don't have angle B. But I do have side b, so I'll use the A and B sin stuff and then solve for C indirectly.

[tex]\frac{sin15}{9} =\frac{sinB}{12}[/tex] to solve for angle B. Cross multiply:

[tex]sinB=\frac{12sin15}{9}[/tex]

[tex]sinB=.3450926061[/tex]  Use the inverse and sin keys on your calculator (in degree mode) to get that

B = 20.2°.  Now that we have that, we can find the measure of angle C:

180 - 15 - 20.2 = 144.8°

Now we can use the sin ratio involving the angle C, side c (our unknown), and angle A and side a:

[tex]\frac{sin144.8}{c}=\frac{sin15}{9}[/tex] and cross multiply to solve for c:

[tex]c=\frac{9sin144.8}{sin15}[/tex] gives us that

c = 20.0

Deondra has 57 m of fencing to build a three-sided fence around a rectangular plot of
land that sits on a riverbank. (The fourth side of the enclosure would be the river.)
The area of the land is 340 square meters. List each set of possible dimensions
(length and width) of the field.

Answers

(L=17m and W=20m) and (L=40m and W=8.5m) are the possible dimensions (length and width) of the field given that the three sided fence has a length of 57m the area of the land is 340 square meters. This can be obtained by forming quadratic equation for the data.

 

Calculate the set of possible dimensions (length and width) of the field:

Let length be L and width be W.

Given that,

three sided fence has a length of 57m,

⇒ 2W + L = 57 m ⇒ L = 57 - 2W

the area of the land is 340 square meters

length × width = 340 ⇒ L × W = 340

(57 - 2W)W = 340

57W - 2W² = 340

2W² - 57W + 340 = 0

Solve for W using quadratic formula,

a = 2, b = -57, c = 340

W = (-b±√b²-4ac)/2a  

   = (57±√3249-2720)/4

   = (57±√529)/4

   = (57±23)/4

W = 20 m and W = 8.5 m  

For W=20, L=57-2(20) = 17

For W=8.5, L=57-2(8.5) = 40

Hence (L=17m and W=20m) and (L=40m and W=8.5m) are the possible dimensions (length and width) of the field given that the three sided fence has a length of 57m the area of the land is 340 square meters.

Learn more about quadratic equations:

brainly.com/question/5975436

#SPJ1

In a health club, research shows that on average, patrons spend an average of 42.5 minutes on the treadmill, with a standard deviation of 4.8 minutes. It is assumed that this is a normally distributed variable. Find the probability that randomly selected individual would spent between 35 and 48 minutes on the treadmill.

Answers

Using the normal distribution, there is a 0.8155 = 81.55% probability that a randomly selected individual would spent between 35 and 48 minutes on the treadmill.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation for this problem are given, respectively, by:

[tex]\mu = 42.5, \sigma = 4.8[/tex]

The probability that a randomly selected individual would spent between 35 and 48 minutes on the treadmill is the p-value of Z when X = 48 subtracted by the p-value of Z when X = 35, hence:

X = 48:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{48 - 42.5}{4.8}[/tex]

Z = 1.15

Z = 1.15 has a p-value of 0.8749.

X = 35:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{35 - 42.5}{4.8}[/tex]

Z = -1.56

Z = -1.56 has a p-value of 0.0594.

0.8749 - 0.0594 = 0.8155.

0.8155 = 81.55% probability that a randomly selected individual would spent between 35 and 48 minutes on the treadmill.

More can be learned about the normal distribution at https://brainly.com/question/4079902

#SPJ1

If (x, 68, 85) form a Pythagorean Triple, what is the value of x?

Answers

Answer:

x = 51

Step-by-step explanation:

If (x, 68, 85) form a Pythagorean Triple, what is the value of x?

to solve we again use Pythagoras, x is the smallest number, so 68 is a cathetus and 85 the hypotenuse

x = √(85²- 68²)

x = (7225 - 4624)

x = √2601

x = 51

Answer:

  x = 51

Step-by-step explanation:

The missing value of the Pythagorean triple can be found using the Pythagorean theorem, or it can be found by comparing the values in the triple to known triples.

What are Pythagorean triples?

A Pythagorean triple is a set of integers {a, b, c} that satisfy the equation of the Pythagorean theorem:

  a² +b² = c²

The smallest such triple is {3, 4, 5}. It is also the only triple that is an arithmetic sequence. Other triples of small integers are ...

  {5, 12, 13}, {7, 24, 25}, {8, 15, 17}

There are an infinite number of "primitive" Pythagorean triples, ones that are not multiples of another triple.

What is this triple?

The given values of the triple have the ratio ...

  68/85 = (4·17)/(5·17) = 4/5

Only the values in the {3, 4, 5} triple and its multiples will have this ratio.

The value of x is 3·17 = 51, so the triple is {51, 68, 85}.

  x = 51

__

Additional comments

Any primitive triple will have two odd numbers.

The ratios of numbers in a primitive triple are unique to that triple. That is, the numbers are mutually prime.

For any pair of positive integers m > n, there is a Pythagorean triple {2mn, m²-n², m²+n²}. Such triples will not be primitive if m and n have the same parity.

__

The above triple can be verified using the Pythagorean theorem:

  51² +68² = 2601 +4624 = 7225 = 85²

Ayayai inc. Has a customer loyalty program that rewards a customer with 1 customer loyalty point for every $10 of purchase. Each point is redeemable for $3 discount on any future purchases . On july 2, 2020 customers purchase pro for $370000 (with a cost of $210900 )and earn 37000 points redeemable for future purchases. Ayayai is expected 31500 points to be redeemed. Ayayai estimates a standalone selling price for $2.50 per point (or $92500 total ) on the basis of the likelihood of redemption . The points provide a material right to customers that they would not receive without entering into a contract. As a result. Ayayai concludes that the points are separate performance obligation. Determine the transaction price for the product and the customer loyalty points. Product purchases, loyalty points, total transaction price

Answers

The transaction price for Ayayai's product and the customer loyalty points are $92500 and 37000 points respectively.

How to determine the transaction price?

Based on the information provided about Ayayai inc., the transaction price for their product and the customer loyalty points would be allocated as follows:

                                            SSP            PA              TTP                    AA____

Product purchases       $370,000       80%         $370,000         $296,000

Loyalty points               $92,500*       20%         $370,000         $74,000__

                                      $462,500                                                 $370,000

*37,000 × 2.50 = $92,500

Note:

SSP means Standalone selling prices.PA means Percent allocated.TTP means Total transaction price.AA means Allocated amounts.

Read more on transaction price here: https://brainly.com/question/15874481

#SPJ1

Country A has an exponential growth rate of 3.8​% per year. The population is currently ​,000, and the land area of Country A is ​35,000,000,000 square yards. Assuming this growth rate continues and is​ exponential, after how long will there be one person for every square yard of​ land?

Answers

The number of years it would it take for there to be one person for every square yard is 93.6 years.

How many years would it take for there to be one person for every square yard?

When there is one person for every square yard, it means that the population and land area are equal in value.

Number of years = (In FV / PV) / r

FV = future population PV = present population r = rate of growth

(In 35 billion / 1 billion) / 0.038 = 93.6 years

Here is the complete question:
Country A has an exponential growth rate of 3.8​% per year. The population is currently 1,000,000 ,000 and the land area of Country A is ​35,000,000,000 square yards. Assuming this growth rate continues and is​ exponential, after how long will there be one person for every square yard of​ land?

To learn more about exponential functions, please check: https://brainly.com/question/26331578

#SPJ1

A ball is thrown from an initial height of 5 feet with an initial upward velocity of 31 ft/s. The ball's height (in feet) after t seconds is given by the following.
h=5+31t-16t^2

Find all values of t for which the ball's height is 19 feet.
t= _ seconds
Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)

Answers

Solving a quadratic function, it is found that the ball has a height of 19 feet at t = 0.72 seconds and t = 1.22 seconds.

What is a quadratic function?

A quadratic function is given according to the following rule:

[tex]y = ax^2 + bx + c[/tex]

The solutions are:

[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a}[/tex][tex]x_2 = \frac{-b - \sqrt{\Delta}}{2a}[/tex]

In which:

[tex]\Delta = b^2 - 4ac[/tex]

In this problem, the function is:

h(t) = -16t² + 31t + 5

The height is of 19 feet when h(t) = 19, hence:

19 = -16t² + 31t + 5

16t² - 31t + 14 = 0.

Then:

[tex]\Delta = (-31)^2 - 4(16)(14) = 65[/tex][tex]x_1 = \frac{31 + \sqrt{65}}{32} = 1.22[/tex][tex]x_2 = \frac{31 - \sqrt{65}}{32} = 0.72[/tex]

More can be learned about quadratic functions at https://brainly.com/question/24737967

#SPJ1


You have a job earning $12.50 per hour, and you receive a raise so that you earn $13.25 per hour. What is the percent change in your salary

Answers

[tex]increase = 13.25 - 12.50 \\ increase = 0.75 \: dollars[/tex]

[tex]12.50 = 100\% \\ 0.75 = x\%[/tex]

[tex]12.50x = 100(0.75) \\ x = \frac{100(0.75)}{12.50} = \frac{75}{12.5} = 6\%[/tex]

An artist is making a sketch based on a 12 inch by 30 inch poster. She divides the poster into grid squares. What are the greatest size grid squares she can make?

Answers

The greatest size grid squares she can make is; 12 inch by 12 inch.

What are the greatest size grid squares she can make?

Since, it follows from the task content that the poster at the artist's disposal is 12 inch by 30 inch, it follows that the smaller dimension of the poster is; 12inch.

It is the limiting dimension and hence, the greatest size grid squares she can make is; 12in by 12 inch.

Read more on grid squares;

https://brainly.com/question/27892243

#SPJ1

What is the slope of the line that contains the points (9,-4) and (1,-5)?
OA. 1
OB.1/5
O C.-1/8
O D. -1

Answers

Answer:

Step-by-step explanation:

hello .....

note : the slope of the line (AB) is :

m = (YB -YA)/(XB - XA)

given  :  A(9,-4) and B (1,-5)

m= ((-5)-(-4))/(1-9)

m= 1/8

A ternary string of length n is a sequence of n digits in which only 0, 1, or 2 appear.
For example, (0,1,0,2) and (1,1,2,2) are ternary strings of length 4 and can be seen as: 0102 and 1122.
How many ternary strings of length 2n are there in which the zeros appear only in odd positions?

Answers

dunnodunnodunnodunnodunnodunnodunnodunnodunnodunnodunnodunnodunnodunno

dunno

slove each problem include a diagram. a. A 6m long wheelchair ramp makes an angle of 15 with the ground. How high abouve the ground does the top end of the ramp reach. b.two treees are 120m apart. From the point halfway between them, then angle of the elevation to the top of the trees is 36 and 52. how much taller is one tree than the other.

Answers

The wheelchair ramp must have a height of approximately 1.553 meters. One tree is approximately 310.309 meters taller than the other one.

How to determine measures with trigonometric functions

In this problem we have two cases in which geometric diagrams and trigonometric functions are utilized to determine side lengths. Based on all informations presented in the images attached below, we proceed to find the side lengths:

Case A

h = (6 m) · sin 15°

h ≈ 1.553 m

Case B

Δh = 60 m /cos 36° - 60 m /cos 52°

Δh ≈ 310.309 m

To learn more on trigonometric functions: https://brainly.com/question/6904750

#SPJ1

a weather balloon is released and reaches a maximum altitude of 5000 meters.A week later, the balloon is recovered at 3750 metwrs. What was the change in altitude between the maximum height and the height at which the balloon was recovered

Answers

The change in altitude between the maximum height and the height at which the balloon was recovered is 1300 meters

How to determine the change

It is important to note that the maximum height is the peak altitude the balloon reached

To find the difference, we use the formula

Change = Maximum height - recovery height

Maximum height = 5000 meters

Recovery height = 3700 meters

Substitute the values

Change = 5000 - 3700

Change = 1300 meters

Thus, the change in altitude between the maximum height and the height at which the balloon was recovered is 1300 meters

Learn more about change in altitude here:

https://brainly.com/question/1159693

#SPJ1

Name a pair of complementary angles in this figure.
a protractor, with segment DEF along the bottom, EH point to the 55 degree on the left, EJ to 90 degrees, EK to the 30 degrees on the right
angles DEH and HEJ
angles DEH and DEJ
angles DEH and DEK
angles DEF and DEH

Answers

The answer choice which represents a pair of complementary angles in the task content is; angles DEH and DEJ.

Which pair of angles represent complementary angles?

It follows from the concept of angle geometry that two or more angles are said to be complementary when the sum of their measures is 90°.

It follows from the task content therefore that since, DEJ = 90° and the sum of the measures of angles DEH and DEJ amounts to 90°.

Hence, the pair of angles are complementary.

Read more on complementary angles;

https://brainly.com/question/16281260

#SPJ1

Which equation has no solution?
O 1-x-31=5
O 12x-11=0
O15-3x = -8
O|-x+91=0

Answers

Since the four choices have solution, there is no choice that have no solutions. (Correct choice: E)

What linear equation has no solution?

Herein we must check each choice to find if a solution exists or not by algebra properties. Now we proceed to check each case:

Choice A

1/(x - 31) = 5

1 = 5 · (x - 31)

1 = 5 · x - 155

5 · x = 156

x = 31.2

Choice B

12 · x - 11 = 0

12 · x = 11

x = 11/12

Choice C

15 - 3 · x = - 8

3 · x = 23

x = 23/3

Choice D

- x + 91 = 0

x = 91

Since the four choices have solution, there is no choice that have no solutions. (Correct choice: E)

Remark

The statement presents typing mistakes and is incomplete. Correct form is shown below:

Which equation has no solution?

A. 1/(x- 31) = 5

B. 12 · x - 11 = 0

C. 15 - 3 · x = - 8

D. - x + 91 = 0

E. Neither of all

To learn more on linear functions: https://brainly.com/question/21107621

#SPJ1

Explain the difference between using area and volume with 2-D and 3-D figures.

Answers

The difference between using Area and Volume with 2D and 3D figures is that Area is a measure of square units while Volume is a measure of cubic units.

What is the difference between Area and Volume?

The area of an object is the measure of space occupied by the two-dimensional object (flat) in a plane. Volume on the other hand is the quantity of space occupied by the object, 3-dimensional object in this case. The unit of area is in square units. The unit of volume is in cubic units.

Read more on Area and Volume;

https://brainly.com/question/15612720

#SPJ1

A catering service offers 11 appetizers, 7 main courses, and 4 desserts. A customer is to select 9 appetizers, 5 main courses, and 2 desserts for a banquet. In how many ways can this be done?

Answers

Based on the various meals offered by the catering service, the ways that the order can be done is 6,930 ways..

How many ways can the food be served?

This can be found as:

= (11! / (9!2!)) x (7! / (5!2!)) x (4! / (2!2!)

= 55 x 21 x 6

= 6,930 ways

In conclusion, the order can be made in 6,930 ways.

Find out more on permutations at https://brainly.com/question/1216161.

#SPJ1

Compute the exact value of the height h of the square-based straight pyramid, given that the base is a square with sides 34 feet long, and all other edges are 50 feet long.

Answers

Answer:

  31√2 feet

Step-by-step explanation:

The height can be found using the Pythagorean theorem. The height of the pyramid will be the height of the right triangle whose sides are half the diagonal of the square base, the distance from the base to the peak, and the edge from the peak back to the corner of the base.

Setup

Let h represent the height of the pyramid. The diagonal of the square base will be √2 times the side of the base. So, half the diagonal will be 17√2 ft. The Pythagorean theorem tells us ...

  h² +(17√2)² = 50²

Solution

Subtracting the constant on the left gives ...

  h² = 2500 -578 = 1992

  h = √1992 = 31√2

The height of the square pyramid is exactly 31√2 feet.

__

Read more about the Pythagorean theorem here:

https://brainly.com/question/27707750

Which graph represents the function f(x) =3(2)*?

Answers

I assume you meant [tex]f(x)=3(2)^x[/tex].

What is the correct classification for each given angle?
Drag and drop the answer into the box to match each angle.

Answers

Answer:

∠AFB = Acute

∠DFB = Obtuse

∠CFD = Right

Step-by-step explanation:

∠AFB is acute b/c its less than 90°

∠DFB is obtuse b/c it more than 90°

∠CFD is right b/c it's exactly 90°

Which of the following is NOT a criterion for making a decision in a hypothesis test?
Choose the correct answer below.
OA. If P-values a, the decision is to reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.
OB. If the test statistic falls within the critical region, the decision is to reject the null hypothesis.
OC. If a confidence interval does not include a claimed value of a population parameter, the decision is to reject
the Inull hypothesis.
OD. If the P-value is less than 0.05, the decision is to reject the null hypothesis. Otherwise, we fail to reject the null
hypothesis.

Answers

If the p-value less than 0.05, the decision is to reject the Null hypothesis.

What is hypothesis testing?Hypothesis testing is statistical reasoning using information from a sample to draw conclusions about a population parameter or population probability distribution. The parameter or distribution is initially bestguessed. Because it is the underlying assumption, the null hypothesis is often referred to as H0.For instance, you might explore and find that a specific drug effectively manages headaches. But nobody will believe what you find if you can't do that experiment again.A hypothesis seeks to provide an answer to a question. We will be forced to think about the results an experiment should try to achieve by a formulated hypothesis.The independent variable is the first variable. Results with seriousness.

The following should NOT be used as a decision-making standard in a hypothesis test.

If the p-value less than 0.05, the decision is to reject the Null hypothesis.

To learn more about the hypothesis, refer to:

https://brainly.com/question/606806

#SPJ9

What is the missing exponent in the equation 3 TO THE SEVENTH POWER EQUALS 27

Answers

Answer: 3 to the 3rd power equals 27

Step-by-step explanation: Because a exponent is the number times itself 3x3 equals 9 that's already 2 then 9x3 equals 27 so anything above is to much

car travels 22 miles for every gallon of gasoline used. The table below represents this relationship.

Gas Mileage
Distance Traveled
(miles)
Gasoline Used
(gallons)
22
1
44
2
x
3
88
4

Answers

The equation that shows a pair of equivalent ratios that can be used to find the unknown is [tex]\frac{22}{1} =\frac{x}{3}[/tex]

Writing an Equation

From the question, we are to determine which equation shows a pair of equivalent ratios that can be used to find the unknown

In the given table, the unknown is x

Consider the given values in the table,

The equation that shows a pair of equivalent ratios that can be used to find the unknown is

[tex]\frac{22}{1} =\frac{x}{3}[/tex]

Hence, the equation that shows a pair of equivalent ratios that can be used to find the unknown is [tex]\frac{22}{1} =\frac{x}{3}[/tex]

Here is the complete question:

A car travels 22 miles for every gallon of gasoline used. The table below represents this relationship. Gas Mileage Distance Traveled (miles) Gasoline Used (gallons) 22 1 44 2 x 3 88 4. Which equation correctly shows a pair of equivalent ratios that can be used to find the unknown.

Learn more on Writing an equation here: https://brainly.com/question/18815248

#SPJ1

Your friend is helping to raise money for a local charity by participating in a cartwheel-a-thon. Your
friend is 70 inches tall with your friend's arms raised in the air. Your friend is able to complete a
cartwheel in 15 seconds. The charity sponsor supplies a wristband to each participant to assist in
counting the number of cartwheels completed. The wristband is 4 inches from the end of your friend's
arm. Write a model for the height h (in inches) of the wristband as a function of the time (in minutes)
given that the wristband is at the highest point when ; = 0.

Answers

The equation for the height exists h = 31 sin((8π)t + π/2) + 35.

How can the height of the wristband be modeled?

The model for the height can be emanated from the general formula of the sine function, then

y = A sin(Bt - C) + D

Maximum point = 70 - 4 = 66 at t = 0

Minimum point = 4

Amplitude, A = (66 - 4) ÷ 2 = 31

D = 4 + 31 = 35

At t = 0, we have;

66 = 31 × sin(B × 0 - C) + 35

31 = 31 × sin(- C)

sin(- C) = 1

C = -π/2

1 minute = 60 seconds

1 second = 1 minute/60

15 seconds = (15/60) minutes

Period = 15 seconds = 15/60 minutes

Period = 2π/B

Therefore, 15/60 = 2π/B

1/4 = 2π/B

B = 2π/(1/4) =

y = Height of the function

Let h denote the height of the wristband.

The equation for the height exists h = 31 sin((8π)t + π/2) + 35.

To learn more about sine function refer to:

brainly.com/question/12102275

#SPJ9

Solve for x in sin xtan x + tan x – 2sin x + cos x = 0 for 0 ≤ x ≤2π rads.

Answers

The value of x = 4.71, 0.41, or 5.89 radian value

Specification:

sinxtanx + tanx -2sinx + cosx = 0

tanx = sinx / cosx

sinx (sinx / cosx) + sinx / cosx -2sinx + cosx = Multiply 0

cosx to remove the fraction

sin ^ 2 (x) + sinx -2sinxcosx + cos ^ 2 (x) = 0

sin ^ 2 (x) + cos ^ Replace with 1. 2 (x) = 1

sinx -2sinxcosx + 1 = 0

sinx (1-2cosx) = -1

1-2cosx = -1 / sinx

-2cosx = -1 / sinx -1

2cosx = 1 / sinx + 1

cosx = 1 / 2sinx + 1/2

sqr (1-sin ^ 2 (x)) = 1 / 2sinx + 1/2

Squared on both sides

1-sin ^ 2 (x) = 1 / 4sin ^ 2 (x) + 1 / 2sinx + 1/4

4sin ^ 2 (x) Multiply

4sin ^ 2 (x) -4sin ^ 4 (x) = 1 + 2sinx + sin ^ 2 (X)

4sin ^ 4 (x) -3sin ^ 2 (x) + 2sinx +1 = 0

y = sinx

4y ^ 4 -3y ^ 2 + 2y + 1 = 0

sinx = y = -1 or -0.3478

x = 270, 180-22.61 or -22.61 degrees

x = 270, 157.39 or 337 .39 degrees

or

x = 3pi / 2, 0.13pi or 1.87pi radians

or

x = 4.71, 0.41 Or 5.89 radians

For more information about trigonometry, visit https://brainly.com/question/24349828

#SPJ1

Which of the following is The function f(x)=2x2−1 is/has

A. order 2 rotational 2 symmetry about the origin
B. symmetry about the y-axis
C. neither symmetric about the y-axis nor has order 2 rotational symmetry about the origin
D. odds a good way to get someone to participate in a group?

Answers

The given function has symmetry about the y - axis.

Symmetry of the Function

If we reflect a function's graph about the y-axis, we will get the same graph since if the function is symmetrical about the y-axis. We can reflect a function about the x- and y-axis and obtain the same graph. These two symmetry kinds are known as the even function and odd function.

The given function is,

f(x) = 2x² - 1

It is an even function since the function remains same for both x and -x.

Putting f(x) = 0, we get,

2x² - 1 = 0

2x² = 1

x² = 1/2

x = ±1/2

⇒ Axis of symmetry is, x=0

Hence, the function f(x) is symmetric about y-axis.

Learn more about a function here:

https://brainly.com/question/12431044

#SPJ1

articipation Activity #6
This is similar to Try It #11 in the OpenStax text.
A satellite is rotating around Earth at 0.2 radians per hour at an altitude of 252 km above Earth. If the radius of Earth is 6,378 kilometers, find the linear speed of the satellite in kilometers per hour.



Enter the exact answer.



The linear speed of the satellite is
Number
kilometers per hour.

Answers

The linear speed based on the information is 1326 km/h.

How to calculate the speed?

The radius will be:

= 6378 + 252

= 6630 km

The angular speed is 0.2. The linear speed will be:

= 6630 × 0.2

= 1326 km/h.

Learn more about speed on:

brainly.com/question/4931057

#SPJ1

Other Questions
in the long run people come to expect whatever inflation rate the fed chooses to produce, so gdp returns to its natural rate. true or false From the standpoint of promoting successful strategy execution, it is important that the firm's motivation and reward system SS accentuate positive rewards but also carry the risk of punishment for lackadalsical or indifferent effort and subpar performance. be completely free of such elements as tension, pressure, anxiety, job insecurity, and tight deadlines--a no-pressure/no-adverse-consequences work environment is essential. reduce job insecurity and give employees an incentive to stay busy and work hard. not deny rewards to employees who put forth good effort and try hard. emphasize only positive types of rewards. hair texture is an example of incomplete dominance. a person who is homozygous dominant for the h gene has curly hair. what genotype would someone with wavy hair have? Ciara needs 4 yards of fabric for a dress. She already had 2 1/4 yards of fabric Convert 32/5 to a mixed number why do traders use volatility smiles for pricing options? Carbon dioxide concentrations are often used as proxy for temperature. What does this mean? Atmospheric CO2 concentrations and global temperature are indirectly related, so when CO2 rises, temperature drops Atmospheric CO2 concentrations and global temperature are directly related, so when CO2 rises, so does temperature Atmospheric CO2 concentrations and global temperature fluctuate independently A unit contribution margin measures: ____________a. The difference between price and variable cost per unit b. The difference between sales and cost of goods sold on a unit basis c. The difference between unit sales and total costs per unit d. The percentage difference between sales and cost of goods sold true/false. branded keywords are useful for potential customers who already know about your brand. How much sulfuric acid can be produced from 9.90 ml of water (d= 1.00 g/ml) and 26.5 g of SO3? response elements are located upstream of the ppar gamma gene in an area called the S and P are the midpoints of thelegs, RT and QU, of trapezoid QRTU.If QRTU =X?= -6x + 37, PS = x + 33, and= 2x + 41, what is the value of FGH is reflected across the x-axis and then translated 3 units to the right. The result is F'G'H'. Tell whether each statement is True or False In order to calculate the density of a solution, you divide the mass of a liquid (5. 10 g) by its volume (250. 0 mL). How should you report its density Aluminum is mined as the mineral bauxite, which consists primarily of Al2O3 (alumina). The aluminum can be refined by heating the bauxite to drive off the oxygen: 2Al2O3(s)=4Al(s)+3O2(g) How many aluminum is produced from 1950 kg of Al2O3? The oxygen produced in part 1 is allowed to react with carbon to produce carbon monoxide. Write a balanced equation describing the reaction of alumina with carbon. You need not to include the states of matter in the balanced equation. How much CO is produced from alumina in Part 1? how many teenagers (people from ages 13-19) must you select to ensure that 4 of them were born on the exact same date (mm/dd/yyyy)? simplify your answer to an integer. A 0. 5 kg water pistol is filled with water, which is included in the mass. It fires a squirt of 0. 001 kg of water at 5 m/s. How fast does the water pistol recoil? For a diatomic gas, Cv is measured to be 21.1 J/(mol K). What are Cp and Y (gamma)? 12.8 J/(mol K) and 0.61 12.8 J/(mol K) and 1.40 12.8 J/(mol K) and 1.65 29.4 J/(mol K) and 0.72 29.4 J/(mol K) and 1.40 29.4 J/(mol K) and 1.65 In prototype design, this type of compromise is characterized by providing few functions that contain great depth. a) Vertical b) Horizontal c) Sinecure d) Compliant e) A solution formed from the dissociation of calcium sulfate, caso4. determine the molar solubility of this salt. An ice cream company made 38 batches of ice cream in 7. 6 hours. Assuming A CONSTANT RATE OF PRODUCTION, AT WHAT RATE IN HOURS PER BATCHWAS THE ICE CREAM MADE. (hours per batch)