Simplify Sinx + cosx/ cos²x - sin²x​

Answers

Answer 1

[tex]\dfrac{\sin x + \cos x}{\cos^2 x - \sin^2 x}\\ \\\\=\dfrac{\sin x + \cos x}{(\cos x + \sin x )\\\\(\cos x - \sin x)}\\\\\\=\dfrac{1}{\cos x - \sin x}[/tex]


Related Questions

Help help help help help

Answers

Answer:

49.12

Step-by-step explanation:

Area of triangle =1/2 x b x h

=24

semi circle =(pie rxr)divuded by 2

=25.12

so, 25.12 +24=49.12

Tara will draw a scale model of the garden
she wants to plant. Her scale will be 1 cm. =
2.5 ft.
4 cm.
8.5 cm
What will be the actual dimensions of Tara's
garden?
A. 1.6 ft. by 3.4 ft.
B. 4 ft. by 34 ft.
C. 8 ft. by 34 ft.
D. 10 ft. by 21.25 ft.

Pls explain how u got the answer!

Answers

Answer:

D.

Step-by-step explanation:

We know that each centimeter is equal to 2.5 feet. The way I solved it was this.

We start with the 4cm. We can multiply 4×2.5, and that gives us 10 feet. We can do 8.5×2.5, and that will equal 21.25 feet. So the final and correct answer is D. 10 feet by 21.25 feet

1. Determine the correlation coefficient for the following data.
4 8 10 9 11 6
y 1.6 2.4 2.0 2.6 2.1 2.2
Х

Answers

Answer:

mm what's that?

Step-by-step explanation:

wala akong pake char

99 PTS PLS HELP! Community volunteers helped clean 7 local parks. They each recorded the number of garbage bags they filled and arranged their data from least to greatest. The number of bags filled was 1, 2, 2, 3, 4, 4, and 5. The mean number of garbage bags filled was 3.

What is the MAD (mean absolute deviation) rounded to the nearest tenth?


1.1

1.3

2.3

3.0

Answers

Answer: 1.1

Step-by-step explanation:

    To find the MAD (mean absolute deviation) we subtract the mean from each data value, and take the absolute value. Then we take the average of all the values. It looks like this:

1 - 3 = -2 -> |-2| = 2

2 - 3 = -1 -> |-1| = 1

2 - 3 = -1 -> |-1| = 1

3 - 3 = 0

4 - 3 = 1

4 - 3 = 1

5 - 3 = 2

-

[tex]\frac{2+1+1+0+1+1+2}{7}[/tex]

[tex]\frac{8}{7}[/tex]

1.14

      The mean absolute deviation is about 1.1

A recipe calls for 3 cups of sugar and 9 cups of water. How many cups of water shoul
used with 2 cups of sugar?

Answers

Answer:

6 Cups

Step-by-step explanation:

3 cups of sugar to 9 cups of water

1 cups of sugar : 3 cups of water

2 X 3 = 6

need help with math problm i give 5 star and brainly point

Answers

Answer:

59.5 here 4 minute late but i hope it helps

Step-by-step explanation:

solve ~
[tex]x {}^{2} - 5x + 6 = 0[/tex]

thankyou ~ ​

Answers

Answer:

x=3,2

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Answer:

Step-by-step explanation:

Sum = coefficient of x = -5

Product = constant * coefficient of x² = 1 * 6 = 6

Factors = (-2) , (-3)

When we multiply, (-2)*(-3) we get = +6 and we add (-2) + (-3) = -5

Using this factors rewrite the middle terms

x² - 5x + 6 = 0

x² - 3x - 2x + (-2)*(-3) = 0

x(x - 3) - 2(x - 3) = 0

(x - 3)(x-2)=0

x - 3 = 0          ; x -2 =0

   x = 3            ; x = 2

Solution: x = 2 , 3

The scores on a psychology exam were normally distributed with a mean of 52 and a standard deviation of 6. About what percentage of scores were less than 40​?

Answers

Using the normal distribituion, it is found that 2.28% of of scores were less than 40.

Normal Probability Distribution

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

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

It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

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

[tex]\mu = 52, \sigma = 6[/tex].

The proportion of scores that were less than 40​ is the p-value of Z when X = 40, hence:

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

[tex]Z = \frac{40 - 52}{6}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a p-value of 0.0228.

2.28% of of scores were less than 40.

More can be learned about the normal distribituion at https://brainly.com/question/24663213

Lyle creates a peach dye by mixing 8 ounces of white dye with 5 ounces of orange dye. He wants to know how much orange dye he needs to use if he needs a total of 195 ounces of peach dye.

Answers

Answer: 121.875 ounces of orange dye

Step-by-step explanation: 8 ÷ 195 = 24.375

24.375 x 5 = 121.875

a/-3=18 what does a equal?

Answers

Answer:

I believe a is equal to -54

After 2 years, a certain car is worth $16600. When it is 9 years old, the same car is then worth
$9950.

Find the equation of the line in this situation.

Identify the slope for this situation and interpret it.


Identify the y - intercept for this situation and interpret it.


Identify the x - intercept for this situation and interpret it.

Answers

The linear function that describes the situation is:

y = -950x + 18500.

The slope of -950 means that the price of the car decays $950 per year.The y-intercept of 18500 means that the initial value of the car is of $18,500.The x-intercept of 19.47 means that the value of car is of $0 after 19.47 years.

What is a linear function?

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.

In this problem, in 7 years, the price of the car decays by $6,650, hence the slope is given by:

m = -6650/7 = -950.

The slope of -950 means that the price of the car decays $950 per year.

Then, the equation is:

y = -950x + b.

After 2 years, a certain car is worth $16600, hence when x = 2, y = 16600, and:

16600 = -950(2) + b

b = 18500.

The equation is:

y = -950x + 18500.

The y-intercept of 18500 means that the initial value of the car is of $18,500.

The x-intercept is found when y = 0, hence:

-950x + 18500 = 0.

x = 18500/950

x = 19.47.

The x-intercept of 19.47 means that the value of car is of $0 after 19.47 years.

More can be learned about linear functions at https://brainly.com/question/24808124

The number 28,363,775 rounded to the nearest ten thousand is

Answers

Answer:

50,000

Step-by-step explanation:

Just put it in the answer lol :p

Answer:

28,360,000

Step-by-step explanation:

The number after the 6 (the ten thousands is 3, so it rounds down to 28, 360, 000.

please give brainliest!

A coffee shop recently sold 12 drinks, including 5 Americanos. Considering this data, how many of the next 96 drinks sold would you expect to be Americanos?

Answers

40 America-nos

Explanation:

5 America-nos : 12 drinks5 : 12

make proportional equation

5/12 = A/96A = 40

Answer:

40 Americanos

Step-by-step explanation:

Use ratios

5/12 = x/96

Solve for x

x = 96*5/12x = 40

pls answer the blanks

Answers

Answer:

mention the blanks please...if u mention iam ready to answer

How do I solve it? URGANT!!!

Answers

Answer:

Step-by-step explanation:

KL = JK, so ΔJKL is an isocesles triangle, then m∠J = m∠L

KL is a tangent line, so ∠JKL = 90°,

so m∠J = 45°

What is the volume of this figure?

Enter your answer in the box.

yd³
A right rectangular prism with a trapezoidal prism. The rectangular prism has a length of 30 yards, a width of 9 yards, and a height of 7 yards. The trapezoidal prism shares a face with the rectangular prism. The trapezoid base has lengths of 30 yards and 19 yards and a height of 10 yards. The height of the trapezoidal prism is 9 yards.

Answers

Answer:

the answer is 4095

Step-by-step explanation:

Answer: 4095

Step-by-step explanation: that one person was right

with proof

Uncle Jack cut 3.8 m of a 8 m-long wood to make a shelf. What percent of the wood did Uncle Jack cut to make the shelf?

Answers

Answer:

47.5%

Step-by-step explanation:

3.8/8.0 x 100

= 47.5%

Uncle Jack used 47.50 percent of the wood he cut to create the shelf.

What is the percentage?

The percentage can be described as a quarter of 100. The phrase % decodes to one hundred percent. It is represented by the symbol '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

Uncle Jack cut 3.8 m of 8 m-long wood to make a shelf.

Then the percentage of the wood that Uncle Jack cut to make the shelf will be given as,

P = (3.8 / 8) x 100

P = 0.475 x 100

P = 47.50%

The percentage of the wood that Uncle Jack cut to make the shelf will be 47.50.

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ7

A theme park has a ride that is located in a sphere. The ride goes around the widest circle of the
sphere which has a circumference of 489.84 yd. What is the surface area of the sphere? Use 3.14
for
The surface area of the sphere is about yd?.
(Type an integer or decimal rounded to the nearest hundredth as needed.)

Answers

Answer:

76,400

Step-by-step explanation:

I think this is right, not sure though.

Surface area of sphere:

[tex]4\pi \times r {}^{2} [/tex]

Circumference :

[tex]2(\pi \times r)[/tex]

489.84 = 2 × 3.14 × r

2 × 3.14 = 6.28

489.84 = 6.28 × r

radius = 489.84 ÷ 6.28

R =78

Surface Area = 4 × 3.14 × (78)^2

Surface area = 76,415.04

= 76,400

Some students are sharing pens among themselves. If each gets 5, no pens will be left. If each gets 3, 12 pens will be left. How many students are there?​

Answers

Answer:

6 students

Step-by-step explanation:

Let x = number of students

Let y = total number of pens

Given:

If each student gets 5 pens, no pens will be left

⇒ 5x = y

Given:

If each students gets 3, 12 pens will be left.

⇒ 3x = y - 12

Substitute  5x = y  into  3x = y - 12  and solve for x:

⇒ 3x = 5x - 12

⇒ 12 = 5x - 3x

⇒ 2x = 12

⇒ x = 6

Therefore, there are 6 students.

what is the sum of the factors for the number 18

Answers

Answer: 39

Step-by-step explanation:

The factors of 18 are: 1, 2, 3, 6, 9, 18

Add them together, and you get your answer.

what is 10 1/2 minus 5 2/3

write as a mixed number and reduce to lowest terms

Answers

Answer:

4 5/6

Step-by-step explanation:

10 1/2 - 5 2/3

5 3/6- 4/6

4 9/6-4/6

4 5/6

I HAVE ATTACHED THE QUESTION

Answers

Answer:

x=1.5 and x= -1.5

Step-by-step explanation:

thats where the graph crosses the x axis (which basically is y=0)

Answer:

Step-by-step explanation:

x² - 2 = y

x² - 2 = 0

x² = 2

x = √2

x = ±1.4

Consider the function RX) = 3x + 1 and the graph of the function g(x) shown below.
у
4
6
4
2
X
-6 -4
- 2
12
4
6
-2
4
6
The graph g(x) is the graph of f(x) translated
✓ units
✓, and g(x) =

Answers

Step-by-step explanation:

f(x) goes through the point (0, 1).

g(x) goes through (2, 1) for the same y value.

that means g(x) is f(x) translated 2 units to the right.

but we could also look at the same x value (0).

then g(x) goes through (0, -5).

and that means g(x) is f(x) translated 6 units down.

since it is a line function, shifting it left/right or up/down makes no difference to the shape or position of the new curve itself.

as it looks like you don't have 6 in the drop-down menu, then 2 units (to the right) is the desired correct result.

that means g(x) = f(x-2) = 3(x-2) + 1 = 3x - 6 + 1 = 3x - 5

and that is what the graph is showing us.

Please help me understand the problem

Answers

Answer:

y = 60 :)

Step-by-step explanation:

Triangle angle total measure: 180

We need to add upp the angles we know and subtract from the total 180, so we can figure out y.

60 + 60 + y = 180

120 + y = 180

180 - 120 = 60

y = 60

Now you know how to solve this type of problem!

Have a great day!!

Please rate and mark brainliest!!

Answer:

The value of y should be 60

Step-by-step explanation:

Tell me if its not right

i know the answers but my calculations won't provide them and i need to know what work to show
the answers are
a) x^2+7x+10
b) x^2-x-6

Answers

[tex]a)\\\\(x+2)(x+5)\\\\=x(x+5) + 2(x+5)\\\\=x^2+5x+2x+10\\\\=x^2+7x+10\\\\\\b)\\\\(x+2)(x-3)\\\\=x(x-3)+2(x-3)\\\\=x^2-3x+2x-6\\\\=x^2-x-6[/tex]

Step-by-step simplification:

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

1a) (x + 2)(x + 5)

⇒ (x × x) + (5 × x) + (2 × x) + (2 × 5)

⇒ (x²) + (5x) + (2x) + (10)

⇒ (x²) + (5 + 2)x + (10)

(x²) + (7)x + (10)

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

1b) (x + 2)(x - 3)

⇒ (x × x) + (-3 × x) + (2 × x) + (2 × -3)

⇒ (x²) + (-3x) + (2x) + (-6)

⇒ (x²) + (-3 + 2)x + (-6)

x² + (-1)x - 6 = x² - x - 6

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

Ahmed drive his car 4 hours continuously as average 80 Km/hr .if his speed was 60 Km in the 1st hour, 90 Km in the 2nd hour and 100 Km in the 3rd hour .Find his speed in the 4th hour ?

Answers

Answer:

I would say 120 but that could be also be wrong but ill go with 120

Help picture below problem

Answers

Answer:

∠s = ∠v

Step-by-step explanation:

Supplementary angles add up to 180°

∠s + ∠v = 180

90 + ∠v = 180

     ∠v = 180 - 90

      ∠v = 90°

∠s ≅ ∠v

Write the fraction in simplest form.
12x^2/28x

Answers

Answer: (-6x - 5) • (2x + 3)

Step-by-step explanation:

((0 -  (22•3x2)) -  28x) -  15

Pull out like factors :

-12x2 - 28x - 15  =   -1 • (12x2 + 28x + 15)

Trying to factor by splitting the middle term

3.2     Factoring  12x2 + 28x + 15

The first term is,  12x2  its coefficient is  12 .

The middle term is,  +28x  its coefficient is  28 .

The last term, "the constant", is  +15

Step-1 : Multiply the coefficient of the first term by the constant   12 • 15 = 180

Step-2 : Find two factors of  180  whose sum equals the coefficient of the middle term, which is   28 .

     -180    +    -1    =    -181

     -90    +    -2    =    -92

     -60    +    -3    =    -63

     -45    +    -4    =    -49

     -36    +    -5    =    -41

     -30    +    -6    =    -36

     -20    +    -9    =    -29

     -18    +    -10    =    -28

     -15    +    -12    =    -27

     -12    +    -15    =    -27

     -10    +    -18    =    -28

     -9    +    -20    =    -29

     -6    +    -30    =    -36

     -5    +    -36    =    -41

     -4    +    -45    =    -49

     -3    +    -60    =    -63

     -2    +    -90    =    -92

     -1    +    -180    =    -181

     1    +    180    =    181

     2    +    90    =    92

     3    +    60    =    63

     4    +    45    =    49

     5    +    36    =    41

     6    +    30    =    36

     9    +    20    =    29

     10    +    18    =    28    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  10  and  18

                    12x2 + 10x + 18x + 15

Step-4 : Add up the first 2 terms, pulling out like factors :

                   2x • (6x+5)

             Add up the last 2 terms, pulling out common factors :

                   3 • (6x+5)

Step-5 : Add up the four terms of step 4 :

                   (2x+3)  •  (6x+5)

            Which is the desired factorization

Answer: (-6x - 5) • (2x + 3)

12x^2/28x in simplest form is 3x/7

Arrange the following from greatest to least value, 20% of 100, 20% of 500, 5% of 100 justify your reasoning

Answers

Answer:

20% of 500, 20% of 100, 5% of 100

Step-by-step explanation:

20% of 100 = 20

20% of 500 = 100

5% of 100 = 5

solve this problem pls don't spam​

Answers

#3

Did solve that in one of your question

#4

Total spent

10-1/4+25-3/4+16-1/210.25+25.75+16.536+16.5₹52.5
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