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3 years ago

11

Find the area of the shaded region. Round your answer to the nearest hundredth.

2 answers:

Nataliya [291]3 years ago

7 0

The area is 7.74 m.
first off, we know that the area of the whole square is 36 m.

the white parts are like quarters of a circle (kinda hard to explain haha) and the radius of these circles is 3 m because 6/2 = 3.

so, we have a total of 4 quarters of a circle with a radius of 3. these circles can become one big circle because there’s 4 and they create a new circle.

we find the area of the circle which is pi r squared, and get 9pi (3squared x pi) and since were looking for the shaded part, we have to subtract this from the original total which was 36. so, the area of the shaded region is 36-9pi and simplified, is 7.74.

i wrote like a whole essay lol and i’m bad at explaining but i hope you got it :)

SVETLANKA909090 [29]3 years ago

5 0

Answer:7.73m

Step-by-step explanation:

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Answer:

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3 years ago

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3 years ago

Find the probability that a randomly selected point within the circle falls in the red shaded area (square). Round to the neares

Fantom [35]

Answer:

probability of selecting the square is 63.7% approximately

Step-by-step explanation:

First of all, the probability of the point of choice is within the red square can be obtained with this formula

probability = expected outcome / total number of possible outcomes

In this case, we are not dealing with discrete values which can be counted. instead, we are dealing with areas.

We are to go about this problem by finding the area of the internal square and dividing it by the area of the circle.

Area of the square

Area of the square = $l^2$

where length = $4\sqrt{2}$

Area = $(4\sqrt{2}) ^2 = 32cm^2$

Area of the circle

Area of the circle = $\pi r^2$

area of circle = $\pi \times 4^2 =50.26cm^2$

Probablity of selecting the square =

32/50.26 = 0.6366

To express this as a percentage, we multiply our answer by 100.

This will give us 0.6366 X 100 = 63.7% approximately

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2 years ago

A Bill in the U.S House of Representatives passed because at least 2/3 of the members present voted in favor of it. If the bill

otez555 [7]

Answer:

Members of the House of Representatives present for the vote were atleast 426 .

Step-by-step explanation:

As given

A Bill in the U.S House of Representatives passed because at least $\frac{2}{3}$ of the members present voted in favor of it.

If the bill received 284 votes .

Let us assume that the total members of the House of Representatives were present for the vote be x .

Than the equations becomes

$\frac{2}{3}\times Total\ number\ of\ Representatives\ present\ for\ vote \geq 284$

$\frac{2}{3}\times x \geq 284$

$2x \geq 284\times 3$

$2x \geq 852$

$x\geq \frac{852}{2}$

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Therefore members of the House of Representatives present for the vote were atleast 426 .

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3 years ago

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3 years ago