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Pavel [41]
3 years ago
15

The following three shapes are based only on squares, semicircles, and quarter circles. Find the perimeter and the area of each

shaded part. Give your answer as a completely simplified exact value in terms of π (no approximations).
Number 3c

Mathematics
1 answer:
zysi [14]3 years ago
6 0

Answer:

Area: 16π-32

Perimeter: 4π + 8sqrt(2)

Step-by-step explanation:

Area:

The shaded part plus the right triangle BCD makes a quarter circle, so you can find the area of the quarter circle minus the triangle.

For the quarter circle, the radius is 8, so the entire circle area is 64π, making the quarter circle 16π.

The triangle is 8*8/2 = 32.

So, the quarter circle minus the triangle, or the area, is 16π-32.

Perimeter:

Again, this is a quarter circle. So, you can add the lengths of arc BD and the line segment BD.

The radius is 8, so the entire circumference is 16π, making the quarter circle 4π.

The hypotenuse of the right triangle will be sqrt(8*8+8*8), or 8sqrt(2).

Add and get 4π + 8sqrt(2) as your perimeter.

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Answer:

The correct answer is C. 7x^3 + 2x -4

Step-by-step explanation:

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8 0
3 years ago
Which expression forms an equation with the given expression?<br> 8 • 7 - 4 =
zysi [14]
The answer is 52 hopefully this help
8 0
3 years ago
The function a(1) =1/2I^2 describes the area of an isosceles right triangle with leg I. Make a table of values for I=1,2,3 and 4
prohojiy [21]

Functions can be represented using equations, graphs and tables.

The function is given as:

a(l) = \frac 12 l^2

When l = 1, we have:

a(1) = \frac 12 \times 1^2

a(1) = 0.5

When l = 2, we have:

a(2) = \frac 12 \times 2^2

a(2) = 2.0

When l = 3, we have:

a(3) = \frac 12 \times 3^2

a(3) = 4.5

When l = 4, we have:

a(4) = \frac 12 \times 4^2

a(4) = 8.0

Represent the above results as a table, we have:

<u>l          a(l)</u>

1          0.5

2         2.0

3          4.5

4          8.0

Read more about tables and functions at:

brainly.com/question/13136492

8 0
3 years ago
Ok last question for today <br> Will mark brainliest
Pepsi [2]

Answer:9


Step-by-step explanation:

8 * 9 = 72

8, 16, 24, 32, 40, 48, 56, 64, 72

1, 2, 3, 4, 5, 6, 7, 8, 9

3 0
3 years ago
A = {1, 3, 5, 7, 9} B = {2, 4, 6, 8, 10} C = {1, 5, 6, 7, 9} A ∩ (B ∪ C) =
vovikov84 [41]
A = {1, 3, 5, 7, 9}
B = {2, 4, 6, 8, 10}
C = {1, 5, 6, 7, 9}

(B ∪ C) = {1, 2, 4, 5, 6, 7, 8, 9, 10}
so
A ∩ (B ∪ C) = {1, 5, 7 , 9}
6 0
3 years ago
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