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VashaNatasha [74]
2 years ago
9

Karla discovered that she could create the perfect shaped heart by combining two semicirlcles and a square what is the area of h

e heart karla created
Mathematics
1 answer:
Schach [20]2 years ago
7 0

Answer:

Area = 64 + 16\pi

Step-by-step explanation:

Given

See attachment for the heart created

Required

The area of the heart

The area of the heart is the sum of the area of the square and the areas of the two semicircles.

From the attachment, we have:

s = 8in --- length of the square

d = 8in --- diameter of each semicircle

Calculate radius

r = 0.5 * d

r = 0.5 * 8 = 4in

The area of the square is:

Area = Length^2

A_1 = 8^2

A_1 = 64in^2

The area of the two semicircles is:

A_2 =2 * \frac{\pi r^2}{2} i.e. 2 multiplied by the area of 1

A_2 = \pi r^2

A_2 = \pi *4^2

A_2 = \pi *16

A_2 = 16\pi

So, the area of the heart is:

Area = A_1 + A_2

Area = 64 + 16\pi

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Answer:

Step-by-step explanation:

Corresponding heights of presidents and height of their main opponents form matched pairs.

The data for the test are the differences between the heights.

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Standard deviation = √(summation(x - mean)²/n

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For the null hypothesis

H0: μd ≥ 0

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We would determine the probability value by using the t test calculator.

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Since alpha, 0.05 < than the p value, 0.12, then we would fail to reject the null hypothesis.

Therefore, at 5% significance level, we can conclude that for the population of heights for presidents and their main​ opponents, the differences have a mean greater than 0 cm.

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