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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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(−9+6.8−1.2)·(−0.49−0.51)
zmey [24]

Answer:

3.4

Step-by-step explanation:

(−9 + 6.8 − 1.2) · (−0.49 − 0.51)

(−3.4) · (−1)

3.4

6 0
3 years ago
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The midpoint of (-4,15) and (22,3)
ahrayia [7]

Answer:

(9, 9)

Step-by-step explanation:

midpoint of (-4,15) and (22,3)

=  \bigg( \frac{ - 4 + 22}{2}, \:  \:  \frac{15 + 3}{2}  \bigg) \\  \\  =  \bigg( \frac{18}{2},  \:  \:  \frac{18}{2}  \bigg) \\  \\  =  ( 9,  \:  \:  9) \\  \\

8 0
3 years ago
A box contains 19 large marbles and 18 small marbles. Each marble is either green or white. 9 of the large marbles are green, an
pshichka [43]

If a marble is randomly selected from the box, then the probability

that it is small or green is 0.7297

Step-by-step explanation:

A box contains 19 large marbles and 18 small marbles

Each marble is either green or white

9 of the large marbles are green, and 8 of the small marbles are white

If a marble is randomly selected from the box, we need to find the

probability that it is small or green

1. Find P(small) ⇒ P(s)

2.Find P(green) ⇒ P(g)

3. Find P(small and green) ⇒ P(s and g)

4. Use the rule P(small or green) = P(s) + P(g) - P(s and g)

∵ The box contains 19 large marbles and 18 small marbles

∴ The total number of marbles = 19 + 18 = 37

∴ P(s) = \frac{18}{37}

∵ There are 8 small white marbles

∵ There are 18 small marbles

∴ The number of small green marbles = 18 - 8 = 10

∴ P(s and g) = \frac{10}{37}

∵ There are 9 large green marbles

∵ There are 10 small green marbles

∴ The number of green marbles = 9 + 10 = 19

∴ P(g) = \frac{19}{37}

∵ P(small or green) = P(s) + P(g) - P(s and g)

∴ P(small or green) = \frac{18}{37}+\frac{19}{37}-\frac{10}{37}

∴ P(small or green) = \frac{27}{37} = 0.7297

If a marble is randomly selected from the box, then the probability

that it is small or green is 0.7297

Learn more:

you can learn more about probability in brainly.com/question/13053309

#Learnwithbrainly

5 0
2 years ago
Realy easy question for soo many points
Art [367]

Answer: 129

Step-by-step explanation:

It is 129 because y is less than 70 so the greatest possible value for that is 69 and z is less than or equal to 60 so 69 + 60 =129

4 0
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Use the data in the following table , which lists drive - thru order accuracy at popular fast food chains Assume that orders are
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Step-by-step explanation:

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