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Verizon [17]
3 years ago
10

Find the diameter of a cone that has a volume of 83.74 cubic inches and a height of 5 inches. use 3.14 for pi. (1 point) 3 inche

s 4 inches 8 inches 16 inches
Mathematics
2 answers:
Nadya [2.5K]3 years ago
8 0

Answer: 8 inches

Step-by-step explanation:

The volume of a cone is given by :-

\text{Volume}=\dfrac{1}{3}\pi r^2 h, where r is radius and h is height of the cone.

Given : The volume of cone = 83.74 cubic inches

The height of cone = 5 inches

Then by using the above formula , we have

83.74=\dfrac{1}{3}(3.14) r^2 5\\\\\Rightarrow\ r^2=\dfrac{3\times83.74}{3.14\times5}\\\\\Rightarrow\ r^2=16.0012738854\approx16\\\\\Righatrrow\ r=\sqrt{16}=4\text{ inches}

Diameter of cone = 2r=2(4)=8\text{ inches}

Hence, the diameter of cone =  8 inches

juin [17]3 years ago
5 0
Volume of cube = 1/3 * pi * r^2 * h
83.74 = 1/3 x 3.14 x r^2 x 5 = 5.233r^2
r^2 = 83.74/5.233 = 16
r = sqrt(16) = 4

Answer: d = 2(4) = 8 inches.
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valina [46]

If W is a random variable representing your winnings from playing the game, then it has support

W=\begin{cases}43&\text{if you draw something with value at most 3}\\-11&\text{otherwise}\end{cases}

There are 52 cards in the deck. Only the 1s, 2s, and 3s fulfill the first condition, so there are 12 ways in which you can win $43. So W has PMF

P(W=w)=\begin{cases}\frac{12}{52}=\frac3{13}&\text{for }w=43\\1-\frac{12}{52}=\frac{10}{13}&\text{for }w=-11\\0&\text{otherwise}\end{cases}

You can expect to win

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or about $1.46 per game.

3 0
3 years ago
11 identical pairs of Air Jordan cost $660.What is the cost of one pair?
Crank

Answer:

$60

Step-by-step explanation:

11 identical pairs of Air Jordan cost $660.

To find the cost of one pair, you have simply to divide the total amount paid by the total number of pairs.

Total amount paid = $660

Total number of pairs = 11

The cost of one pair =\$660 : 11=\$60

6 0
4 years ago
If you borrow $1,200 for 3 years at an annual interest rate of 4% how much will u pay?
Anastaziya [24]
I=Prt
I=$1,200(0.04)3
I=$144
7 0
3 years ago
Given cosx=12/13
TiliK225 [7]
1. You have the following information:

 Sinx=5/13

 Cosx=12/13

 2. By definiton, you have:

 Tanx=(Senx)/(Cosx)

 3. When you susbtitute Senx=5/13 and Cosx=12/13 into Tanx=(Senx)/(Cosx), you obtain:

 Tanx=(Senx)/(Cosx)
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 Tanx=(5)(13)/(13)(12)
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3 years ago
(7y is supposed to be 7x)
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Answer:

Step-by-step explanation:

Angle E is (7x+27) because it is corresponding.

So, 7x+27+15x-5=180 (angle on a straight line is 180 degrees

22x+22=180

22x=158

x= 158/22 = 7.18'

7 0
2 years ago
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