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mestny [16]
3 years ago
6

The volume of a cone is given by the formula $V = \frac{1}{3}Bh$, where $B$ is the area of the base and $h$ is the height. The a

rea of the base of a cone is 30 square units, and its height is 6.5 units. What is the number of cubic units in its volume?
Mathematics
1 answer:
ra1l [238]3 years ago
5 0

9514 1404 393

Answer:

  65 cubic units

Step-by-step explanation:

Put the numbers in the formula and do the arithmetic.

  V = 1/3Bh

  V = 1/3(30)(6.5) = 65 . . . cubic units

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If a bike tire has a diameter of 72 inches what is the circumference
vesna_86 [32]

Answer:

circumference = diameter * PI which is 3.14159 ...

circumference = 72 * 3.14159 ...

circumference = 226.19467  inches

Step-by-step explanation:

6 0
3 years ago
I Need help plz help me i Sony understand
nydimaria [60]
A. 2, 200, 2000  

This is multiplying the number by 10 each time. In other words, just adding an extra zero to the end of it. 

b. 340, 0.034 

This one is moving the decimal place forward two places. 10^-2, so removing two zeros from the end of it until eventually you reach decimals and have to move the decimal forward twice, which is essentially what you're doing here.

c. 85700, 857, 0.857

In this one, you remove one zero from the end. You move the decimal forward once when you reach the decimals. This would be 10^-1

d. 444000, 4440000, 44400000

In this one, you multiply each one by 10. Add on a zero to each one.

e. 0.095, 9500000, 950000000

You multiply this one by 10^2, so the number increases.
4 0
3 years ago
What is the sign of f on the interval 0 < x < 2
Alborosie

Answer:A is the correct answer

Step-by-step explanation:

3 0
3 years ago
Base: 11 m, area: 1115.5 m2
Marina86 [1]

101.4

1115.5 \div 11 = 101.4

8 0
3 years ago
Consider the growth of a population p(t). It starts out with p(0)=A. Suppose the growth is unchecked, and hence p′=kp for some c
gayaneshka [121]

Answer:

p(t) = Ae^{\frac{kt^2}{2}}

Step-by-step explanation:

We are given the following information in the question:

The growth of population is given by the function p(t).

p(0)=A where A is a constant.

p' = kp

where k is a constant.

Solving the given differential equation, we have,

p' = kp\\\\\displaystyle\frac{dp}{dt} = kp\\\\\frac{dp}{p} = kt~ dt\\\\\text{Integrating both sides}\\\\\int \frac{dp}{p} = \int kt~ dt\\\\\log p = \frac{kt^2}{2} + C\\\\\text{where C is the integration constant}\\\\\text{Putting t = 0}\\\\\log p_0 = C\\\\\log p = \frac{kt^2}{2} + \log p_0\\\\\log p - \log A = \frac{kt^2}{2}\\\\\log \frac{p}{A} = \frac{kt^2}{2}\\\\p(t) = Ae^{\frac{kt^2}{2}}

5 0
3 years ago
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