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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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<u>Solution-</u>

Let's assume, the rate of interest of $8000 is x%,

then the rate of interest of $17000 is (x+0.3x) =1.3x%

Interest earned by $8000,

i_1=\frac{8000\times x\times 1}{100} =80x

Interest earned by $17,000,

i_2=\frac{17000\times 1.3x\times 1}{100} =221x

According to the question,

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\Rightarrow 221x=80x+276

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\Rightarrow x=1.96

∴ Rate of interest of $8000 is 1.96% and rate of interest of $17000 is (1.3×1.96) =2.55%

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A deep sea diver started at sea level (0 feet) and dove at a rate of 5.6 feet per minute. If the diver dove for ½ hour, what rat
Leona [35]

Given:

A deep sea diver started at sea level (0 feet).

Rate of diving = 5.6 feet per minute.

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We know that,

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A deep sea diver, dove at a rate of 5.6 feet per minute.

Distance covered in 1 minute = 5.6 feet

Distance covered in 30 minute = 30 × 5.6 feet

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