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Serjik [45]
3 years ago
13

Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of pi (no approximations)

Mathematics
1 answer:
Kisachek [45]3 years ago
5 0

Answer:

40π in^2

Step-by-step explanation:

360°/72°=5

so, each of the two shaded regions are 1/5 of the circle.

the formula for finding the area of a circle is πr^2, so:

area for one of the shaded regions:

1/5πr^2

1/5π(10)^2

1/5π100

20π in^2

this means that the area for one of the shaded regions is 20π. however, since there are two of them:

2(20π)=40π

so, the area of the shaded regions is 40πin^2

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Covert 4.5 yards to inches what is the answer ?
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Answer:

162 inches

Step-by-step explanation:

To get the answer you would have to know how many inches are a yard. The answer is 36. So you would have to multiply 4.5 by 36.

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Step-by-step explanation:

6 0
3 years ago
-14x + 15y = 15 <br> -21x - 20y = -10<br> Use substitution to find the x and y coordinates.
denis-greek [22]
                  -14x + 15y = 15
        -14x + 14x + 15y = 14x + 15
                             15y = 14x + 15
                              15           15
                                 y = ¹⁴/₁₅x + 1
                   -21x - 20y = -10
     -21x - 20(¹⁴/₁₅x + 1) = -10
-21x - 20(¹⁴/₁₅x) - 20(1) = -10
         -21x - 18²/₃x - 20 = -10
                  -39²/₃x - 20 = -10
                            + 20  + 20
                          -39²/₃x = 10
                           -39²/₃   -39²/₃
                                   x = ⁻³⁰/₁₁₉
                                   y = ¹⁴/₁₅x + 1
                                   y = ¹⁴/₁₅(⁻³⁰/₁₁₉) + 1
                                   y = ⁻²⁸/₁₁₉ + 1
                                   y = ⁹¹/₁₁₉
                              (x, y) = (⁻³⁰/₁₁₉, ⁹¹/₁₁₉)
8 0
3 years ago
Simplify the expression -3z(1.8z-2.2).
alexdok [17]

Answer:

- 5.4z {}^{2}  + 6.6z

Step-by-step explanation:

Given:

-3z(1.8z-2.2)

Solution:

Applying Distributive property,we obtain

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Simplifying using PEMDAS:

  • - 5.4z {}^{2}  + 6.6z

Done!

5 0
2 years ago
from a set of seven math books, nine science books, and five literature books, in how many ways can a student select two from ea
Over [174]
There are 7 math books, 9 science books and 5 literature books. Student has to select 2 books from each set.

This is a combination problem.

Number of ways to select 2 math books from 7 books = 7C2 = 21
Number of ways to select 2 science books from 9 books = 9C2 = 36
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Total number of ways to select 2 books from each set = 21 x 36 x 10 = 7560 ways.

So there are 7560 ways to select 2 books from each set of seven math books, nine science books, and five literature books
6 0
4 years ago
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