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2 years ago

The pyramid shown has a height of 14 inches and a base area of 60 in2. Find the volume of the pyramid.

Mathematics

1 answer:

Kamila [148]2 years ago

8 0

Volume of pyramid is $280 in^{3}$ .

The pyramid has a height 14 inches and a base area of 60 in2.

What is volume?

Volume is a three - dimensional quantity that is used to measure the capacity of a solid shape.

Volume of the pyramid = $Area base$ X $\frac{height}{3}$

= $60.\frac{14}{3}$

= $280$ $in^{3}$

So the volume of pyramid = $280$ $in^{3}$

Learn more about the Volume visit:

https://brainly.in/question/609711

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Gemiola [76]

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Answer:

h₁(t) = -16t² +110

Step-by-step explanation:

Put the given initial height into the given formula. That will give the requested function. If the function name is supposed to be h₁(t), then rename it.

f(t) = -16t² +110 . . . . . . h = 110, the initial height

h₁(t) = -16t² +110

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3 years ago

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A parabola can be drawn given a focus of (8, -1)(8,−1) and a directrix of y=-11y=−11. Write the equation of the parabola in any

Sav [38]

Answer:

(x - 8)² = 20(y + 6)

Step-by-step explanation:

The focus of the parabola is (8,-1) and the equation of the directrix is y = - 11.

So, the parabola opens up and the axis of symmetry is x = 8 line.

Now, the axis of symmetry and the directrix meet at the point (8,-11).

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3 years ago

10% of the downtown residents of a town in the Plains live in mobile homes. Based on data from past tornadoes, if a tornado goes

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Answer:

The probability a person will not live in a mobile home if they do not die as a result of the tornado is 0.9265.

Step-by-step explanation:

Denote the events as follows:

<em>X</em> = a person lives in a mobile home.

<em>Y</em> = a person dies as a result of tornado.

Given:

$P(X)=0.10\\P(Y|X) = 0.30\\P(Y|X^{c})=0.02\\$

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Compute the probability that a person dies as a result of tornado as follows:

$P(Y)=P(Y|X)P(X)+P(Y|X^{c})P(X^{c})\\=(0.30\times0.10)+(0.02\times(1-0.10))\\=0.03+0.018\\=0.048$

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Compute the value of $P(X^{c}|Y^{c})$ as follows:

$P(X^{c}|Y^{c})=\frac{P(Y^{c}|X^{c})P(X^{c})}{P(Y^{c})}=\frac{0.98\times(1-0.10)}{0.952}=0.9265$

Thus, the probability a person will not live in a mobile home if they do not die as a result of the tornado is 0.9265.

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iogann1982 [59]

The distance between these points is 3.4 units

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3 years ago

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