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nirvana33 [79]
3 years ago
15

Two identical quarter circles are cut from a rectangle as shown.

Mathematics
1 answer:
Taya2010 [7]3 years ago
7 0
We can see from the diagram that the length of the rectangle is 2 lots of the radius of one quarter circle. The width is made up of one radius, therefore the width is half of the length.

This means that the width of the rectangle is 9cm, and the radius of each quarter circle is 9cm.

To find the shaded area, we find the area of the rectangle and subtract from the areas of each circle, which are equal:

A = lw - 1/2(pi x r^2)
A = 9 x 18 - 1/2(81pi)
A = 162 - 81/2 pi
A = 34.8cm (3sf)



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allochka39001 [22]

Answer:

330+77= 407

Step-by-step explanation:

*Danganronpa flashbacks*

5 0
3 years ago
Determine the surface area of this cone if the radius is 4 cm and the height is 12 cm . Round your answer to the nearest tenth .
maria [59]
Base Surface Area = π×42
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Lateral Surface Area = π×4×√42 + 4.72440944881892
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Or in square centimeters:

Base Surface Area = π×10.162
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8 0
3 years ago
A recent survey found that 70% of all adults over 50 wear
lubasha [3.4K]

Answer:

There is an 84.97% probability that at least six wear glasses.

Step-by-step explanation:

For each adult over 50, there are only two possible outcomes. Either they wear glasses, or they do not. This means that we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem we have that:

n = 10, p = 0.7

What is the probability that at least six wear glasses?

P(X \geq 6) = P(X = 6) + `P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.8497

There is an 84.97% probability that at least six wear glasses.

5 0
3 years ago
You’re giving a side length of 7 cm. How many equilateral triangle’s can you construct using this information
dalvyx [7]

Answer:

1

Step-by-step explanation:

You can't construct more than 1 triangle. If either of the angles shift, the triangle won't close. And a equilateral triangle must close to be considered, well, a triangle.

3 0
4 years ago
(-3/4)*(-3/5)*(-1)= <br> pls help my teacher is gonna kill me
GaryK [48]

Answer:

-9/20

Step-by-step explanation:

For the first two terms, all you have to do is multiply the numerators and the denominators, and cancel out the negative, but because there is a -1 after that, the negative sign comes back, although the -1 doesn't really change the number.

3 0
3 years ago
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