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salantis [7]
3 years ago
6

The volume of a cone is 35 ft3 and the cone’s height is 7 ft.

Mathematics
2 answers:
Roman55 [17]3 years ago
8 0
The\ volume\ of\ a\ cone:V=\frac{1}{3}\pi r^2 H=\frac{1}{3}A_bH\\\\r-the\ radius\ \\H-the\ height\ of\ the\ cone\\A_b-area\ of\ the\ base\\----------------------\\\\V=35\ ft^3;\ H=7\ ft\\\\therefore\\\\\frac{1}{3}A_b\cdot7=35\\\\\frac{7}{3}A_b=35\ \ \ \ |divide\ both\ sides\ by\ \frac{7}{3}\to multiply\ both\ sides\ by\ \frac{3}{7}\\\\A_b=\frac{35}{1}\cdot\frac{3}{7}=\frac{5}{1}\cdot\frac{3}{1}=5\cdot3=\boxed{15\ (ft^2)}
Serggg [28]3 years ago
6 0
Formula:

V = 1/3 * b * h

Plug in what we know:

35 = 1/3 * b * 7

Multiply 7 * 1/3:

35 = 2 1/3 * b

Multiply:

35 = 2 1/3b

Divide 2 1/3 to both sides:

b = 15
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The ratio of pencils to erasers is 4:1 if there are 20 pencils how many erasers are there?
Levart [38]
It is 5 because you have to multiply by 5 by 4 and get 20 when you multiply by 5×1 and get 5
7 0
3 years ago
A T-shirt costs 4 times as much as a pair of socks. a T-shirt costs $16.
alukav5142 [94]
Answer:
D. 4s = 16

Explanation:
We are given that a T-shirt is 4 times the price of the sock.
This means that if we multiply the price of sock by 4, we will get the price of the T-shirt.
In equation form:
price of T-shirt = 4*price of sock

We are given that:
cost of the pair of socks is "s".
cost of T-shirt = 16

Substitute in the above equation, we get:
16 = 4s

Hope this helps :)
3 0
3 years ago
Eight burgers and three orders of fries cost $79.49. Six orders of fries and twelve burgers cost $125.82.Find the price of one b
dezoksy [38]

Answer:

  • Burgers - $8.29 and fries - $4.39

Step-by-step explanation:

<u>Let burgers - b, fries - f</u>

  • 8b + 3f = 79.49
  • 12b + 6f = 125.82

<u>Double the first equation and subtract the second equation:</u>

  • 16b + 6f - 12b - 6f = 2(79.49) - 125.82
  • 4b = 33.16
  • b = 33.16/4
  • b = 8.29

<u>Find f:</u>

  • 8(8.29) + 3f = 79.49
  • 3f = 79.49 - 66.32
  • 3f = 13.17
  • f = 13.17/3
  • f = 4.39
5 0
2 years ago
What is the surface area of a cube that is 2 inches wide, 8 inches long, and 10 inches tall
natita [175]

Answer:

160 square feet

Step-by-step explanation:

you would do 2*8*10 to get 160 which would be your square surface area

4 0
3 years ago
Choose the function table that matches the given rule<br> Rule:output=input -2
kirill [66]

Answer:

option B

Step-by-step explanation:

Rule:output=input -2

LEts analyze the table

we use the input and apply the rule to get the output

LEts subtract 2 from input to get the output

Input             Rule (input -2 )            Output

-3                         -3-2                          -5

-7                         -7-2                          -9

6                          6-2                            4

Option B matches with our table

   

7 0
3 years ago
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