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ryzh [129]
1 year ago
7

A dance studio charges $17 for the first ballet class a dancer takes and $11 for each class after that. what are the first four

terms of an arithmetic sequence in which an is the total amount a dancer pays, in dollars, for taking n ballet classes?
Mathematics
1 answer:
yan [13]1 year ago
5 0

$17

17+11 = $28

28+11 = $39

39+11 = $50

17 + 11(n-1) $$

n-1 because removes the first class of $17

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THANK YOU , PLEASE INCLUDE EXPLANATION
frosja888 [35]

Remark

This will be a little late, but I'll answer it anyway. The more you see of the sine law, the clearer it will be.


Step One

Set up the sine Law.

\dfrac{Sin(x)}{12}=\dfrac{sin(75)}{22}


Step Two

Substitute values

Sin(x) = ??

sin(75) = 0.9659


\dfrac{Sin(x)}{12}=\dfrac{0.9659}{22}


Step Three

Cross multiply and Solve

22* Sin(x) = 12 * 0.9659

22* Sin(x) = 11.591 divide by 22

sin(x) = 11.591 / 22

sin(x) = 0.5269


Step Four

You have to know how to use the inverse of an angle to get the answer. I do it as my calculator would do it. If it doesn't work with yours, let me know.


x = sin^-1(0.5269)

2nd F

Sin^-1

(

0.5269

)

=

You should get 31.79 degrees.

5 0
3 years ago
Can someone please help and show work
Bad White [126]
Answer:$8.60
I put the work into the picture. Hope this helps!

7 0
3 years ago
Solve the equation
kondor19780726 [428]

4 1/5 + B = 9 3/5

21/5 + B = 48/5

B = 27/5

B = 5 2/5

Letter C is the correct answer!

Hope this helps! ;)

4 0
3 years ago
Use differentials to estimate the amount of paint needed (in m3) to apply a coat of paint 0.04 cm thick to a hemispherical dome
pogonyaev

The amount of paint is the volume of paint needed.

The amount of paint needed is 0.065312 cubic meters

<h3>How to determine the amount of paint needed</h3>

The volume of a hemisphere is:

V = \frac 23\pi r^3

Differentiate the above equation

V' = 2\pi r^2 r'

The above equation represents the estimate of the amount of paint needed.

Where:

  • r represents the radius (r = 52/2 m)
  • r' represents the thickness (r' = 0.04 cm)

So, we have:

V' = 2\pi r^2 r'

V' = 2 * 3.14 * (52/2\ m)^2 * (0.04cm)

V' = 2 * 3.14 * (26\ m)^2 * (0.04cm)

Express cm as m

V' = 2 * 3.14 * (26\ m)^2 * (0.0004m)

V' = 0.065312 m^3

Hence, the amount of paint needed is 0.065312 cubic meters

Read more about volumes at:

brainly.com/question/10171109

3 0
2 years ago
Celine is Drake’s granddaughter. Her age is 4 years greater than of Drake’s age. If Celine is 28 years old, how old is Drake?
svp [43]

Answer:32

Step-by-step explanation:

if selling is 28 and she is 4 years greater than Drake then that is 28-4 which is 32 so Drake is 32 years old

3 0
3 years ago
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