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Musya8 [376]
3 years ago
9

Find the volume of a cone with base area 16pi ft squared and height 9 ft.

Mathematics
1 answer:
yulyashka [42]3 years ago
6 0

Answer:

volume =  \frac{1}{3} \pi {r}^{2} h \\  =  \frac{1}{3}  \times16\pi \times 9 \\  =48\pi \: cubic \: ft

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5 0
2 years ago
A rental car company charges $77. 50 per day to rent a car and $0. 14 for every mile
muminat

77.5d + .14m

m = 425

.14 * 425 = 59.5

77.5d + 59.5 ≤ 230

77.5d ≤ 170.5

d ≤ 170.5/77.5

d ≤ 2.2

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6 0
2 years ago
Below we give the overall dining experience ratings (Outstanding, Very Good, Good, Average, or Poor) of 30 randomly selected pat
Rina8888 [55]

Answer:

Kindly check explanation

Step-by-step explanation:

Relative frequency = frequency / total frequency

Total frequency = 30

Outstanding = 14 / 30 = 0. 467 = 46.7%

Very good = 10/30 = 0.333 = 33.3%

Good = 5 / 30 = 0.167 = 16.7%

Average = 1 / 30 = 0.0333 = 3.3%

Poor = 0

_______Rating : frequency : R/ frequency

Outstanding _____ 14 _______0.467

Very good _______10 _______0.333

Good ___________ 5 _______ 0.167

Average _________ 1 _______ 0.033

Poor ____________ 0 _______ 0

8 0
2 years ago
1 ounce = 28.35 grams <br> • 1 gallon = 3.8 liters <br><br> What is the ratio in ounces per gallon?
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7 0
3 years ago
The height of a trapezoid can be expressed as x – 4, while the bases can be expressed as x + 4 and x + 9. if the area of the tra
AlexFokin [52]

Answer: 19 cm

<u>Step-by-step explanation:</u>

A_{trapezoid}=\frac{b_{1}+b_{2}}{2}*h

                99 = \frac{(x+4 + x+9}{2}*(x - 4)

                99 = \frac{(2x + 13}{2}*(x - 4)

              198 = (2x + 13)(x - 4)

              198 = 2x² + 5x - 52

                 0 = 2x² + 5x - 250

                 0 = 2x²- 20x + 25x - 250

                 0 = 2x(x - 10) + 25( x - 10)

                 0 = (2x + 25)(x - 10)

0 = 2x + 25     or        0 = x - 10

  -\frac{25}{2} = x      or          x = 10

Since length cannot be negative, -\frac{25}{2} can be disregarded

Larger base: x + 9  = 10 + 9   = 19

5 0
2 years ago
Read 2 more answers
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