In the right triangle shown in the diagram below, what is the value of x to the nearest whole number?

Answers

Answer 1

Answer:

[tex]x=21[/tex]

Step-by-step explanation:

See attachment for triangle

The relationship between length x, length 24 and angle 30 is as follows:

[tex]\cos(\theta) = \frac{Adjacent}{Hypotenuse}[/tex]

In this question;

[tex]Adjacent = x[/tex]

[tex]Hypotenuse= 24[/tex]

[tex]\theta = 30[/tex]

Substitute these values in the above expression,

[tex]\cos(30) = \frac{x}{24}[/tex]

Multiply through by 24

[tex]24 * \cos(30) = \frac{x}{24} * 24[/tex]

[tex]24 * \cos(30) = x[/tex]

Reorder:

[tex]x = 24 * \cos(30)[/tex]

[tex]x = 24 * 0.8660[/tex]

[tex]x = 20.784[/tex]

[tex]x=21[/tex] --- approximated

In The Right Triangle Shown In The Diagram Below, What Is The Value Of X To The Nearest Whole Number?

Related Questions

83, 15, 50, 28, 52, 96 - What is the mean? What is the mode? What is the median?

Answers

Answer:

Mean: 54

Mode: There is none

Median: (50+52)/2 = 51

Step-by-step explanation:

Hope this helps!!! :D

What postulate/theorem can be used to prove the following triangles congruent?

Answers

Answer:

SAS

Step-by-step explanation:

2 sides and 1 angle are congurent

Answer:

The S.A.S rule can be used to prove the following triangles congruent.

Step-by-step explanation:

The S.A.S rule is when 2 sides and the angle in that triangle are equal to the 2  sides and angle of the other triangle, then u can considere that triangle congruent.

A 6-ounce can of Frozen orange juice costs $1.02. Give the unit price in cents per ounce

Answers

The unit price in cents per ounce will be 17 cents / ounce.

The cost of the 6 ounce frozen orange juice is given as:

Cost = $ 1.02

We know that:

$ 1 = 100 cents.

So, by using multiplication, we get that:

$ 1.02 = 1.02 × 100 cents

$ 1.02 = 102 cents.

Now, Number of ounces = 6 ounces

Unit price in cents per ounce = 102 cents / 6 ounce

Unit price in cents per ounce = 51 cents / 3 ounce

Unit price in cents per ounce = 17 cents / ounce

Therefore, the unit price in cents per ounce will be 17 cents / ounce.

Learn more about unit price here:

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Hellpppppppppppppp ASAP

Answers

Answer:

I think it’s C but I’m not sure

Explanation:

Plz let me know if it’s right and if it’s not I apologize in advance

Answer:

C

Step-by-step explanation:

graphs A and B are called quadratic equations; example, x^2 - x - 6 and, when graphed form u-shaped curves that either cross the x-axis at one or two points, or possibly not at all.

graph D is a linear equation, x = -4

graph C is created by an equation where the x-value is raised to the third power; try graphing y = x^3 and see how it looks

Point G and point H are the same distance form point F. Which coordinates could be the location of point H?

Answers

Answer:

[tex]H = (5,1)[/tex]

Step-by-step explanation:

The attachment is not clear. However, the points of G and F are:

[tex]F = (3, 2)[/tex]

[tex]G = (4, 4)[/tex]

And the options are:

[tex]A.\ (1, 2) \\ B. (4, 2)\\ C. (5, 1) \\ D. (2, 5)[/tex]

Required

Determine the coordinates of H

This question will be solved using distance formula, D

[tex]D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Since F is equidistant of G and H, the formula can be represented as:

[tex]D = \sqrt{(x_2 - x)^2 + (y_2 - y)^2}[/tex] and

[tex]D = \sqrt{(x_1 - x)^2 + (y_1 - y)^2}[/tex]

Where:

[tex](x_1,y_1) = (4,4)[/tex]

[tex](x,y) = (3,2)[/tex]

[tex]H = (x_2,y_2)[/tex]

Substitute values for x , y , x2 and y2 in [tex]D = \sqrt{(x_2 - x)^2 + (y_2 - y)^2}[/tex]

[tex]D = \sqrt{(x_2 - 3)^2 + (y_2 - 2)^2}[/tex]

Square both sides:

[tex]D^2 = (x_2 - 3)^2 + (y_2 - 2)^2[/tex]

Substitute values for x , y , x1 and y1 in [tex]D = \sqrt{(x_1 - x)^2 + (y_1 - y)^2}[/tex]

[tex]D = \sqrt{(4 - 3)^2 + (4 - 2)^2}[/tex]

Square both sides:

[tex]D^2 = (4 - 3)^2 + (4 - 2)^2[/tex]

[tex]D^2 = (1)^2 + (2)^2[/tex]

[tex]D^2 = 1 + 4[/tex]

[tex]D^2 = 5[/tex]

Substitute 5 for D^2 in [tex]D^2 = (x_2 - 3)^2 + (y_2 - 2)^2[/tex]

[tex]5 = (x_2 - 3)^2 + (y_2 - 2)^2[/tex]

From the list of given options, the values of x and y that satisfy the above condition is: (5,1)

This is shown below

[tex]5 = (5-3)^2 + (1-2)^2[/tex]

[tex]5 = (2)^2 + (-1)^2[/tex]

[tex]5 = 4 + 1[/tex]

[tex]5 = 5[/tex]

Other options do not satisfy this condition. Hence, the coordinates of H is:

[tex]H = (5,1)[/tex]

A certain bacteria can divide every hour. Which of the following equations represents the number of cells, N, that is present after t hours?

A

N(t)=2t


B

N(t)=2/t


C

N(t)=2t


D

N(t)=t2

Answers

Answer:

N(t) = N0/2^t

Step-by-step explanation:

Given that:

Number of cells present after t hours = N

Let initial number of cells = N0

Using the exponential decay relation:

N(t) = N0(1/2)^t

N(t) = N0/2^t

Hence, the number of cells N present after t hours is N(t) = N0/2^t.

if John owes 300 dollars and pays 50 a week what are the dependent and independent variables ​

Answers

300 dollars would be the independent variable and 50 dollars a week is dependent

Evaluate the expression when y = 4 y/2-8

Answers

Answer:

-6

Step-by-step explanation:

Using PEMDAS , division comes first.  

4 ÷ 2 - 8

= 2 - 8

= -6

For a party, 10 friends are buying 100 cups, 100 plates, a
punchbowl, and 200 balloons.
DATA
Party Supplies
100 balloons $7.80
100 plates
$4.75
100 cups
$5.45
100 napkins
$2.09
10 invitations $1.60
plastic punchbowl $11.50
What stepe do you need
to solve to find the
answer?
a. How much did they spend on party supplies?

Answers

$5.45+4.75+11.50+7.80+7.80

Answer:

the answer i believe is 37.30

When the interest on an investment is compounded continuously, the investment grows at a rate that is proportional to the amount in the account, so that if the amount present is P, then dP dt = kP where P is in dollars, t is in years, and k is a constant. If $180,000 is invested (when t = 0) and the amount in the account after 17 years is $421,136, find the function that gives the value of the investment as a function of t. (Round your value of k to two decimal places.)

Answers

Answer:

the interest rate on this investment k = 0.05 or 5%

Step-by-step explanation:

Given that;

dp/dt = kp

dp/p = k dt

now we integrate on both sides

integral dp/p = integral k dt

ln p = kt + c

p =e^kt + c

p = ce^kt

Given that p = $180,000 is invested (when t = 0)

p = ce^kt

we substitute

180000 = ce^k×0

180000 = ce^0

180000 = c × 1

c = 180,000

we substitute the value in the equation

p = 180000e^kt

now given that the amount in the account after 17 years is $421,136

i.e at t = 17 and p = 421,136

we substitute

421,136 = 180000e^17k

divide both sides by 180000

421136/180000 = 180000e^17k / 180000

e^17k = 2.3396

17k = In(2.3396)

17k = 0.8499

k = 0.04999 ≈ 0.05

therefore the interest rate on this investment k = 0.05 or 5%

Stephanie has three shirts for every two pairs of jeans that she owns. If she owns 14 pairs of jeans, then how many shirts does she own?

Answers

Answer:

21 shirts

Step-by-step explanation:

Ratio jeans to shirts: 2:3

Mutiply by the same

2 to get to 14 is 7

7 x 2 = 14

7 x 3 = 21

Answer: i think the answer is 21

Step-by-step explanation:

Need help plz need to solve for x.
1) 2x-7= -2x+1
2) 2(x-7)=6-2x

Answers

1) x=2
2) x=5

....................

Answer:

1( ×=2

2( x=5

ekekjejew

Answer this one question please thanks

Answers

Answer:

option b is correct answer

the answer is D. $56.77

What is the least common denominator of 1/2,2/3 and 3/8 OA) 48 OB) 24 O C) 16 OD) 12 plz help me ​

Answers

Answer:

24

Step-by-step explanation:

The required least common denominator (LCD) of 1/2, 2/3, and 3/8 is 24.

What is the least common denominator?

The least common denominator has a defined factor that is least common among the factors of the denominator is called the least common denominator.

Here,
Rewrite each fraction with the least common denominator (LCD) of 24 by multiplying both the numerator and denominator by the appropriate factor:

1/2 = (1/2) * (12/12) = 12/24

2/3 = (2/3) * (8/8) = 16/24

3/8 = (3/8) * (3/3) = 9/24

Check that the fractions have the same denominator:

12/24, 16/24, and 9/24

Therefore, the least common denominator (LCD) of 1/2, 2/3, and 3/8 is 24.

Learn more about the least common denominator here: https://brainly.com/question/11221202
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Help with this problem

Answers

Answer:

18

Step-by-step explanation:

side length of triangle RST is 4 ✓ 3, 3 ✓ 3

So, area of triangle RST = 1/2 × 4✓ 3 × 3✓ 3 =18

sorry can u delete this my answer is wrong lol

How can you express (15 + 30) as a multiple of a sum of whole numbers with no common factor?

A.
2 × (7.5 + 15)
B.
3 × (5 + 10)
C.
5 × (3 + 6)
D.
15 × (1 + 2)

Answers

Answer:b because the equation is right.

Step-by-step explanation:

Step-by-step explanation:

D.

15 × (1 + 2) is you're answer

What is the slope of the line through (1,0) and (3, 8)?

Answers

Answer:

4

Step-by-step explanation:

the equation for slope: (y2-y1)/(x2-x1)

the points are (1,0), and (3,8)

we can label them

x1=1

y1=0

x2=3

y2=8

now, substitute into the equation (m=slope)

m=(8-0)/(3-1)

m=8/2

m=4

PLEASEE HELP 51 POINTS PLEASEE

Answers

Answer:

Part A is $21 and part B is $30.21

12 1 10 − 5 5 6 = Enter the fraction as a mixed number in simplest form. Use a space between the whole and fractional part.

Answers

Answer:

467

Step-by-step explanation:

Find the midpoint of the segment with the following endpoints.

(4,7) and (10,3)

Answers

Answer:

7, 5

Step-by-step explanation:

Answer:

I hope this may helps you

factor out the coefficient of the variable : 2/3j - 2/9

Answers

Answer:

j3a3

Step-by-step explanation:

A bus and a truck leave a gas station at the same time and are headed to the same destination. If the bus traveled 480 miles in 8 hours, and the truck traveled 210 miles in 3 hours, who is on pace to reach the destination first?

Answers

Answer:

The truck

Step-by-step explanation:

You need to first find out how many miles per hour each is going. To do this you need to divide. 480/8=60 210/3=70 with this information you just need to take the one that goes faster which is the truck.

Chris bought a pizza that was cut into 8 slices. He saw olives on 2 of the slices. If he chooses a slice at random, what is the probability that he gets a slice without olives?

Answers

2/8

If you are thinkinking logically, however, it's 50/50 since it's either you get them or not

Answer:he has a 75% chance of getting a piece without olives

Step-by-step explanation:

How can you determine the domain of a sine function?

Answers

Answer:

Step-by-step explanation:

Note that the domain of the function y=sin(x) ) is all real numbers (sine is defined for any angle measure), the range is −1≤y≤1 . The graph of the cosine function looks like this: The domain of the function y=cos(x) is all real numbers (cosine is defined for any angle measure), the range is −1≤y≤1 .

It costs Guido $0.20 per minute to forward voicemail messages as texts to his cell phone. He already spent $4 in forwarding messages this month. His mom has spent $2 forwarding messages. It costs her $0.40 per minute so she can call long distance. Guido’s mom said they have to spend the same amount. How many minutes can he talk?

Answers

Answer:

10 Minutes

Step-by-step explanation:

To talk the same amount of time he would have to spend $2. So $0.20 per minute would mean that for 5 minutes it is $1, so he can have 10 minutes

brittany is listening to a song on the internet. the song is streaming at a rate of 128 kilobits per second. There are 8 kilobits in 1 kilobyte. What is the streaming rate in kilobytes per second?

Answers

Step-by-step explanation:

16 because 128 divided by 8 is 16

what is the sum

56+90=_____

Answers

Answer:

146

Step-by-step explanation:

the answer is 146!!!!!!

Given sin theta and angle θ is in Quadrant III, what is the exact value of cosθ in simplest form? Simplify all radicals if needed.

Answers

Answer:

Unfortunately, you have to give the exact value of sin theta in order to solve this problem. Therefore, this problem, at least for the meantime, is unsolvable. Please rectify this! Thank you!

Answer:

sin theta in Quadrant III,

sin theta =√(1-cos²theta)

I have no idea how to solve this, please help with the answer

Answers

SAS similarity. the angle degree is the same. if you multiply 14 and 8 by a factor of 7 you get 98 and 56 which means the triangle have the same ratio making them similar. because of this ratio it makes the side similar therefore being a SAS similarity because the angle is between the sides.

my question is down there

Answers

I don’t really see the question ?
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