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Anestetic [448]
3 years ago
6

How much material will is take cover a tennis ball that has a diameter of 2.5 inches? Round ti the nearest hundredth. Show work

please, thank you
Mathematics
1 answer:
Elena L [17]3 years ago
6 0
The formula of the surface area of a sphere is 4 \pi  r^{2}

We have the diameter, but we can easily find the radius by dividing the diameter by 2.

2.5/2 = 1.25

Now, we plug this into the formula

4 \pi * 1.25^{2} =19.63

So, you will need 19.63 square inches of material to cover the tennis ball.
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The front of an A-frame cabin in a national park is the shape of a triangle with an area of 564 ft.² if the height is 1 feet les
aleksandrvk [35]

Answer:

Base = 24 ft; height = 47 ft  

Step-by-step explanation:

The formula for the area of a triangle is

A = ½bh

Let x = the base. Then

2x - 1 = the height

\begin{array}{ccc}A & = & \dfrac{1}{2}bh\\\\564 & = & \dfrac{1}{2}x(2x - 1)\\ \\1128 & = & x(2x - 1)\\& = & 2x^{2} - x\\2x^{2} - x - 1128 & = & 0\\(2x + 47)(x - 24) & = & 0\\2x + 47 = 0 &\qquad & x - 24 = 0\\2x = -47 & \qquad & x = \mathbf{24}\\x = -23.5 & \qquad & \\\end{array}

We reject the negative value, so x = 24 ft

Base = x = 24 ft

Height = 2x - 1 = 2(24)-1 = 48 - 1 = 47 ft

Check:

564 = ½ × 24 × 47

564 = 564

OK

3 0
3 years ago
All questions are about this system of equations:
Amiraneli [1.4K]
5x + 18y = 23
x + 3y = 2 .....multiply by -5
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evablogger [386]

Answer:

4.2 meters

Step-by-step explanation:

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We know that 1 meter is equal to 100 centimeters, so we can solve this using a rule of three:

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100/420 = 1/X

X = 420/100 = 4.2 meters

The lights need to be placed on the pole at 4.2 meters off the ground.

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Answer:

No because if it was true 10 would come up to 40 not 42. Hope this helps <3

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3 years ago
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