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navik [9.2K]
3 years ago
12

If the volume of a rectangular prism was 45 cubic feet, what would be the volume of a rectangular pyramid with the same area bas

e and height as the prism?
Mathematics
1 answer:
alexandr1967 [171]3 years ago
8 0

Answer:

1/3 of 45 = 15 cubic feet

Step-by-step explanation:

volume of rectangular prism = (B)(h)

volume of rectangular pyramid = 1/3(B)(h)

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The area of the circle is 144π m2<br><br> What is the diameter of the circle?
Over [174]

Answer:

Step-by-step explanation:

Remember that

Area of Circle = \pi r^2

\pi  = pi \\r = radius

They told us that for this circle, the area is 144\pi  m^2

If you put it back into the formula for area of a circle we get:

Area of Circle = \pi r^2

144\pi = \pi r^2

Divide both sides by \pi.

144 = r^2

Now we want to solve for r (r = radius).

You need to square root each side

\sqrt{144} = \sqrt{r^2}

12 = r

So now we know the radius, r = 12 metres

Also remember that

Diameter = 2r

So,

Diameter = 2 times 12 = 24 metres

5 0
2 years ago
Factor.<br> to<br> 4m6 – 16p10
Nonamiya [84]

Answer:

4 ( m⁶ - 4p¹⁰ )

Step-by-step explanation:

4m⁶ = 4 * m⁶

16p¹⁰= 4 * 4 *  p¹⁰

Common factor = 4

4m⁶ - 16p¹⁰ = 4 ( m⁶ - 4p¹⁰ )

3 0
2 years ago
K/8=11<br> Find the value of K
____ [38]

Answer:

k=88

Step-by-step explanation:

as 8*11=88

4 0
3 years ago
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14. Use the given degree of confidence and Sample data to construct a confidence interval for the population mean. Assume that t
nirvana33 [79]

Step-by-step explanation:

Confidence interval = mean ± margin of error

CI = μ ± ME

The mean is μ = 8.7.

Margin of error = critical value × standard error

ME = CV × SE

At 95% confidence and 9 degrees of freedom, CV = 2.262.

SE = s / √n

SE = 3.3 / √10

SE = 1.04

The margin of error is:

ME = 2.262 × 1.04

ME = 2.36

CI = 8.7 ± 2.36

CI = (6.34, 11.06)

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3 years ago
The sum of 4 consecutive odd numbers is 40. What is the gratest of the 4 numbers
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