Given sin r = 0.5, what is cos r?
enter your answer as a decimal, rounded to the nearest hundredth.

Answer:

x = 9.4868

Step-by-step explanation:

For this problem we can use the Pythagorean Theorem

Pythagorean theorem = [tex]a^2+b^2=c^2[/tex]

IN THIS CASE C = X

A and B are the side and base lengths of a right triangle.

C is the Hypotenuse side.

[tex]9^2+3^2=c^2[/tex]

Solve...

81 + 9 = [tex]c^2[/tex]

90 =[tex]c^2[/tex]

[tex]\sqrt{90}[/tex] = c

c = 9.4868

Answer:

A

Step-by-step explanation:

The opposite of 6 IS -6

Answer:

The circumference is 45.2yd

Step-by-step explanation:

Given

[tex]d = 14.4[/tex] --- diameter

Required

Determine the circumference

The circumference is calculated as:

[tex]C =\pi d[/tex]

So, we have:

[tex]C =\pi * 14.4[/tex]

Take pi a 3.14

[tex]C =3.14 * 14.4[/tex]

[tex]C =45.216[/tex]

Approximate

[tex]C =45.2yd[/tex]

Answer:A

Step-by-step explanation:

Answer:

8 in.

Step-by-step explanation:

Answer:

The number of commercial orbital launches is equal to 19 and the number of noncommercial orbital launches is equal to 40.

Step-by-step explanation:

IMPORTANT INFORMATION: The number of noncommercial orbital launches was two more than twice the number of commercial orbital launches.

Let's say that the number of commercial orbital launches is equal to x. Now, the number of noncommercial orbital launches is equal to 2x+2.

We are told that if we add the number of commercial and noncommercial orbital launches together we will get 59.

Therefore, if we add 2x+2 with x we should get 59:

2x+2+x=59

3x+2=59

3x=57

x=19

This is how we can come to the answer that the number of commercial orbital launches is equal to 19 and the number of noncommercial orbital launches is equal to 40 (2x+2=2*19+2=38+2=40).

Hope this helps!

Answer:

the first one

the first one Step-by-step explanation:

the first one Step-by-step explanation:from the formula Un =ar^n-1

where a is 2

where a is 2 r = 20/2=10

where a is 2 r = 20/2=10 so Un= 10×2^n-1

that's all.....have fun

Answer:

C.)  an =1/5 * 10n-1

Step-by-step explanation:

D.) is out of the question just at first look.
A.) is irregular to the sequence, giving you the wrong outputs.
B.) is also irregular to the sequence.

Leaveing your answer...

Answer:

9, 27, 81, 6561, 43046721, 1853020188851841, 3.4336838202925124e+30, 1547.141555, 2393646.991208

Step-by-step explanation:

Answer = 2393646.991208

Hope it helps!

Answer:

Box A-10

Box B-15

Box C-20

i think

Answer:

Box A= x+5

Box B= x+5

Box C= x+5

Step-by-step explanation:

So i was literally over here trying to big brain this problem, literally stressing like "Oh my gosh why is this so difficult wth is going on rn?!" when all i had to do was find the equation(which has been sitting on my paper for the last 15 minutes) and plug it in.

-_-

Chile anyways so the equation to the problem is 3(x+5) =20. And all you have to do is split the (x+5) into three parts on the tape diagram and it would all equal 20.

Answer:

28° 62°

Step-by-step explanation:

Hope this helps :)

Answer:

90°

Step-by-step explanation:

Area of triangle with sides a and b and included angle Θ:

A = (1/2)ab * sin Θ

dA/dx = (1/2)ab cos Θ

(1/2)ab cos Θ = 0

cos Θ = 0

Θ = 90°

Answer: 9/1

Step-by-step explanation: Apologies for the mistake. Let's calculate the probability again.

To find the probability of rolling a sum of 9 on two number cubes, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes.

For a sum of 9, the following combinations are favorable:

(3, 6), (4, 5), (5, 4), (6, 3)

So, there are 4 favorable outcomes.

The total number of possible outcomes is still 6 × 6 = 36.

The probability of rolling a sum of 9 is:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 4 / 36

Simplifying the fraction, we get:

Probability = 1 / 9

Therefore, the probability of rolling a sum of 9 is 1/9, not 11/18 as previously stated.

Answer:

It has to be paid in 12 months.

Nothing has to be paid until month 12.

It it takes longer than 12 months to pay, a finance charge has to be paid.

Are all the correct answers

Step-by-step explanation:

The statements that mean the same as twelve months same as cash are:

"x time same as cash" means that you got x time to pay the cash without any additional cost. If you take more time than x time to pay the due amount, then you would have to pay extra.

Example: 5 months same as cash means you can pay the due cash amount without any additional fine. If you take more than 5 months to pay the amount, then additional payment would be charged.

Thus, the statements that mean the same as twelve months same as cash are:

Learn more about interests here:

https://brainly.com/question/5319581

Answer:

d

Step-by-step explanation:

i literally just did that

Answer:

D

Step-by-step explanation:

Answer:

The line is a vertical line, which does not have a slope.

Step-by-step explanation:

Slope of a line:

Suppose we are given two points in the format (x,y) of a line. The slope is given by the change in y divided by the change in x.

(6,6) and (6, -7).

Change in y: -7 - 6 = -13

Change in x: 6 - 6 = 0

Slope is a division by 0, which means that the line is a vertical line, which does not have a slope.

Answer:

[tex]VW = 50[/tex]

Step-by-step explanation:

Given

The attached triangle

Required

Find VW

To find VW, we make use of the following equivalent ratios.

[tex]YX : XW = ZX : XV[/tex]

Where:

[tex]YX = ZX - ZY = 42 - 28 = 14[/tex]

[tex]XV = XW + VW = 25 + VW[/tex]

So, we have:

[tex]14 : 25 = 42 : 25 + VW[/tex]

Express as fraction

[tex]\frac{14 }{ 25 }= \frac{42 }{ 25 + VW}[/tex]

Divide both sides by 14

[tex]\frac{1}{ 25 }= \frac{3}{ 25 + VW}[/tex]

Cross multiply

[tex](25 + VW) * 1 = 3 * 25[/tex]

[tex]25 + VW = 75[/tex]

Solve for VW

[tex]VW = 75 -25[/tex]

[tex]VW = 50[/tex]

9514 1404 393

Answer:

  30

Step-by-step explanation:

Let q represent the number of questions on the exam.

  27 = 0.90q . . . . . 90% of them is 27

  27/0.9 = q = 30 . . . . . divide by the coefficient of q

There are 30 questions on the exam.

Answer:

There are thirty questions on the test.

Step-by-step explanation:

You can discover this by doing 27 divided by . 90 which equals 30

Dilation involves changing the size of a figure

The endpoints of the image are (-2,-1) and (6,1)

The coordinates of the pre-image are give as:

(2,2) and (6,2)

The scale factor is given as:

k = 2

The center of dilation is given as:

(a,b) = (6,5)

The coordinates of the image are then calculated as:

[tex](x,y) \to (k(x -a) + a, k(y -b) + b)[/tex]

For (2,2), we have:

[tex](x,y) \to (2(2 -6) + 6, 2(2 - 5) + 5)[/tex]

[tex](x,y) \to (-2, -1)[/tex]

For (6,2), we have:

[tex](x,y) \to (2(6 -6) + 6, 2(2 - 5) + 5)[/tex]

[tex](x,y) \to (6, -1)[/tex]

Hence, the endpoints of the image are (-2,-1) and (6,1)

Read more about dilation at:

https://brainly.com/question/3457976

Answer:

A The p-value is less than α, and the null hypothesis is rejected. There is convincing evidence to support the claim that the proportion of all science textbooks that are rented is greater than the proportion of all literature textbooks that are rented.

Step-by-step explanation:

Given :

Percentage rented science textbooks = pS

Percentage rented Literature textbooks = pL

To test if percentage Science textbooks in the state was greater than percentage Literature textbooks :

H0: pS = pL

Ha: pS > pL

Pvalue = 0.035 ; α = 0.05

Decision Region :

If Pvalue < α ; We reject H0

In the scenario above,

Pvalue < α ; 0.035 < 0.05 ; Hence, we reject the Null ;

We conclude that There is convincing evidence to support the claim that the proportion of all science textbooks that are rented is greater than the proportion of all literature textbooks that are rented.

Answer:

75%

Step-by-step explanation:

The computation of the percent of the professional professors there are tenured is shown below;

Given that

academic professors A = 60%

professors  tenured P = 70%

professors at Paracelsus University = 90%

Based on the above information

As we know that 90% of the professors could be academic professors or tenured or both

so  here we can say that the percent of academic professors  is

= 60 + 70 - 90

= 40

Therefore professors  tenured will be

= 70 - 40

= 30

Now the percentage of professional professor that is tenured is

= 30 ÷ 40 × 100

= 75%

Answer:

Step-by-step explanation:

hello :

use identity : a²-b²=(a-b)(a+b)

(2x+1) (2x-1)= (2x)²-1 =4x²-1

Answer:

[tex]C' = (2,8)[/tex]

[tex]A' = (4,4)[/tex]

[tex]T' = (10,10)[/tex]

Step-by-step explanation:

Given

[tex]k =2[/tex]

[tex]C =(1,4)[/tex]

[tex]A = (2,2)[/tex]

[tex]T =(5,5)[/tex]

Solving (a): The new points

To do this, we simply multiply the old points by the scale factor.

i.e.

[tex]New = Old * k[/tex]

So:

[tex]C' = (1,4) * 2 = (2,8)[/tex]

[tex]A' = (2,2) * 2 = (4,4)[/tex]

[tex]T' = (5,5) * 2 = (10,10)[/tex]

Solving (b): The graph of the original image

See attachment

Answer:

2.2 : 1

Step-by-step explanation:

cube root 1331 : reciprocal of 0.2

give your answer in the form n:1

The cube root of 1331

(1331)^1/3 = 11

Reciprocal of 0.2 = 1 /0.2 = 5

Hence, the ratio Can be expressed as :

11 : 5

In the form n : 1

divide both sides by 5

11/5 : 5 /5

2.2 : 1

9514 1404 393

Answer:

  2. A'(3, 13)

  4. A''(-3, 13)

  5. No

Step-by-step explanation:

2. The translation is represented by the transformation ...

  (x, y) ⇒ (x-4, y+8)

  A(7, 5) ⇒ A'(7-4, 5+8) = A'(3, 13)

__

4. The reflection is represented by the transformation ...

  (x, y) ⇒ (-x, y)

  A'(3, 13) ⇒ A''(-3, 13)

__

5. No. The location (-3, 13) is not the same as the original location (7, 5).

Answer:

(1, 1)

Step-by-step explanation:

not 100% sure though, but hope it helps

Answer:

No

Step-by-step explanation:

Fractions and decimals are not considered integers

Answer:

Ernesto's construction is wrong.

Step-by-step explanation:

Ernesto's construction is wrong.

This is because when bisecting an angle, the first thing we do is to place the compass at the vertex of the angle we want to bisect and draw an arc that will cross both lines that form the angle.

In Ernesto's case the arc drawn was not a single one but drawn separately as is seen in the image.

The arc on line AV does not continue to line VI but instead he drew another arc with different compass width on line VI before bisecting the angle.

Answer:

4/3 x 5/8 is correct

Step-by-step explanation:

Answer: C 7/10 * 5/8

Step-by-step explanation:

4/3 * 5/8 = 20 / 24 = 5 / 6

3/2 * 5/8 = 15 / 16

7/10 * 5/8 = 35/80 = 7 / 16

9/7 * 5/8 = 45 / 56

5/8  = 10/16

7/16 < 10/16

7/16 < 5/8