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Ugo [173]
3 years ago
9

The volume of a​ cone-shaped hole is 50 pi ft cubed . If the hole is 6 ft​ deep, what is the radius of the​ hole?

Mathematics
1 answer:
True [87]3 years ago
8 0

Answer:

r = 5

Step-by-step explanation:

The formula for volume of a cone is \pi r^2*\frac{h}{3}

h = 6

V = 50π

2\pi r^2=50\pi

r = 5

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A triangle has side lengths of 9 in, 13 in, and 20 in. What is the measurement of this triangle’s largest angle?
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       ii) Given the measures of the sides of a triangle. Then the cosines of any of the angles can be found by the following formula:

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2. 

20^{2}=9 ^{2}+13 ^{2}-2*9*13(cosA)&#10;&#10;400=81+169-234(cosA)   150=-234(cosA)&#10;&#10;cosA=150/-234= -0.641

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A wireless company offers two cell phone plans. For the month of September, Plan A charges $35 plus $0.25 per minute for calls.
valentina_108 [34]

Answer:

60 minutes

Step-by-step explanation:

Let the number of minutes be represented as x

For Plan A

Plan A charges $35 plus $0.25 per minute for calls.

$35 + $0.25 × x

35 + 0.25x

For Plan B

Plan B charges $20 plus $0.50 per minute for calls.

$20 + $0.50 × x

20 + 0.50x

For what number of minutes do both plans cost the same amount?

This is calculated by equating Plan A to Plan B

Plan A = Plan B

35 + 0.25x = 20 + 0.50x

Collect like terms

35 - 20 = 0.50x - 0.25x

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x = 15/0.25

x = 60 minutes.

Hence, the number of minutes that both plans cost the same amount is 60 minutes

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