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Varvara68 [4.7K]
2 years ago
6

The drawing shows a heart-shaped figure. The heart is composed of a square and two semicircles. The semicircles have the center

in the middle of two of the sides.
a) Set up a formula to calculate the area of ​​the heart.
​

Mathematics
1 answer:
Dvinal [7]2 years ago
4 0

Answer:

Area = πx² + x² or x²(π + 1)

Step-by-step explanation:

The area of the heart = area of a circle + area of the square

Note:

1. The 2 semicircles makes 1 full circle

2. The diameter of the circle = the side length of the square

Thus:

Area of the heart = πr² + s²

Where,

r = x

s = x

Formula for area of the heart = π(x²) + x² = πx² + x²

Area = x²(π + 1)

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A student answers 160 of 200 questions on an exam correctly. What percent of the questions did he answer correctly?
Alexandra [31]

Dive correct answers by total questions:

160/200 = 0.80

Multiply by 100 to get percent:

0.80 x 100 = 80%

5 0
3 years ago
Read 2 more answers
Helpppppppp neededddd
ozzi

Answer:

Adam

Step-by-step explanation:

Speed is calculated with the formula distance over time.

Convert all measurements to the same unit: ft/s.

<u>Speed of Frank:</u>

d/t

=11/s

<u>Speed of Emily:</u>

d/t

=86/10

=8.6/s

<u>Speed of Adam: </u>

There are 5280 feet in a mile.

d/t

=5280/388

=13.6/s

<u>Speed of Noah:</u>

There are 60 seconds in a minute.

d/t

=600/60

=10/s

Adam runs the fastest because 13.6 > 11 > 10 > 8.6.

8 0
3 years ago
The Chocolate Shoppe has a rectangular logo for their business that
tigry1 [53]

The equation that calculates the unknown side length, M of the Chocolate Shoppe rectangular logo is A = 3.1H

<h3>How to determine the equation?</h3>

The parameters in the question are:

  • Logo: Rectangle
  • Height, H = 3 1/10 feet

Represent the area of the logo with A, and L represents the unknown side

The area (A) of the rectangle is calculated using:

A = H * L

Substitute 3 1/10 for H

A = 3 1/10 * H

Express the fraction as decimal

A = 3.1H

Hence, the equation that could be used to determine the unknown side length, M of the logo is A = 3.1H

Read more about areas at:

brainly.com/question/24487155

3 0
1 year ago
On a cold February morning, the radiator fluid in Stanley’s car is -18 degrees When the engine is running, the temperature goes
Rasek [7]

Remark

This is an arithmetic progression. You have the first and last terms and the difference.

Givens

a = - 18

L = 60

d = 4.5        

Equation

L = a + (n - 1)d

Solve

60 = -18 + (n - 1) * 4.5   Add 18 to both side

60 + 18 = (n - 1) * 4.5      

78 = (n - 1) * 4.5           Divide both sides by 4.5

78/4.5 = n - 1

17.3333 = n - 1             Add 1 to both  sides.

18.3333 = n

Conclusion

It will that 18 1/3 or 18.33333 minutes to get the from -18 to 60 degrees.


3 0
2 years ago
Find the length of UV.
katovenus [111]
7x-8 (2) = 12x+8
14x-16 = 12x+8
-12x -12x
2x-16 = 8
+16 +16
2x = 24

÷2 ÷2
x= 12

UV= 7x-8
UV= 7(12)-8
UV= 84-8
UV= 76
7 0
2 years ago
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