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Darya [45]
3 years ago
6

Catherine is a making a gift container in the shape of a square pyramid. One of the side of the square base is 6 in. Long and th

e volume of the container is 96 in?. What is the height of the pyramid? Enter your answer in the box. _in
Mathematics
1 answer:
sukhopar [10]3 years ago
7 0

Answer:

Step-by-step explanation:

Alright, lets get started.

One side of the square base is 6 inches, say a.

Suppose the height of the pyramid is h

The volume of square pyramid shaped container is given as 96

The formula for volume is = \frac{1}{3}a^2*h

96=\frac{1}{3}*6^2*h

Multiply 3 in both sides

96*3=36*h

h=8

So the height of pyramid is 8 inches.   :    Answer

Hope it will help :)


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y = 2x + 4 is the equation and they want to know what the orderd pair of the point that crosses the y axis is. We don't know what the orderd pair means.
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The y-axis contains all the points where x=0.
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If y = 2x+4, let x=0 so you can solve for "y":

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3 years ago
Find the limit of the function algebraically. limit as x approaches negative nine of quantity x squared minus eighty one divided
scoray [572]
Let me express the equation clearly:

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Initially, we solve this by substituting x=-9 to the equation. 

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The other easy way is to substitute x=-8.999 to the original equation. Note that the term x→-9 means that x only approaches to -9. Thus, you substitute a number that is very close to -9. Substituting x=-8.999

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7 0
3 years ago
Situation D: Suppose that, in a one-minute period during an electrical storm, the number of lightning strikes on a radar antenna
Crank

Answer:

21.77% probability that the antenna will be struck exactly once during this time period.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

In this question:

\mu = 2.40

Find the probability that the antenna will be struck exactly once during this time period.

This is P(X = 1).

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21.77% probability that the antenna will be struck exactly once during this time period.

3 0
3 years ago
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