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Rasek [7]
2 years ago
13

Find the volume of a pyramid with a square base, where the side length of the

Mathematics
1 answer:
xeze [42]2 years ago
4 0

Answer: V= 330.513 cm 3

Step-by-step explanation:

Area = l x w and with a square the length and width are the same, additionally the volume of a pyramid can be found by using the formula (L)(w)(h)/3 so

8.7 x 8.7 = 75.69cm^2

75.69 x 13.1 = 991.539

991.539 ÷ 3 = 330.513 cm^3

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The ordered pairs (1, 3), (2, 9), (3, 27), and (4, 81) represent a function. Write a rule that represents this function.
Art [367]
Let x be the first number each pair and y is the second of each As you see 1x is 3y
And. 2x is 3*3y= 9y
3x = 3*3*3y= 27y

Last 4x =3*3*3*3y= 81y

So y = 3^x
4 0
3 years ago
Find the exact area of the shaded region. A. 16π−8 cm² B. 42.3 cm² C. 92.5 cm² D. 84.6 cm2
Anika [276]

Answer:

A = (16π - 8) cm^2

Step-by-step explanation:

The shaded area is trhe area of the circle minus rthe area of the truiangle,.

A = πr^2 - bh/2

A = π(4 cm)^2 - (4 cm)(4 cm)/2

A = 16π cm^2 - 8 cm^2

A = (16π - 8) cm^2

5 0
3 years ago
In a recent​ year, 304 of the approximately​ 300,000,000 people in the United States were struck by lightning. Estimate the prob
umka2103 [35]

Answer:

\frac{19}{18,750,000}=0.0000010133333333

Step-by-step explanation:

We have been given that in a recent​ year, 304 of the approximately​ 300,000,000 people in the United States were struck by lightning.

\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{Number of possible outcomes}}

\text{P( A randomly selected person in the United States will be struck by lightning this year)}=\frac{304}{300,000,000}

\text{P( A randomly selected person in the United States will be struck by lightning this year)}=\frac{19}{18,750,000}

\text{P( A randomly selected person in the United States will be struck by lightning this year)}=0.0000010133333333

Therefore, the probability that a randomly selected person in the United States will be struck by lightning this year is \frac{19}{18,750,000}=0.0000010133333333.

6 0
3 years ago
Read 2 more answers
Suppose you have a right triangle with side lengths 26, 24, and 10. Which lengths
solong [7]

Answer:

hypotenuse —>26

Legs —> 10 and 24

Step-by-step explanation:

Generally ,the hypotenuse is the longest side .

So in our triangle the hypotenuse is of length 26.

Consequently, the legs are of lengths 24 and 10.

Also ,we can verify that this is right triangle using the Pythagorean theorem:

26^2 = 676

24^2+10^2 = 676

Then

26² = 24²+10².

3 0
2 years ago
The cost, in millions of dollars, for a company to manufacture x thousand speed boats is given by the function C(x) = 3x2 - 30x
nalin [4]

Answer:

  5000

Step-by-step explanation:

In vertex form, the cost function is ...

  C(x) = 3(x² -10x) +175 = 3(x² -10x +25) +175 -3(25)

  C(x) = 3(x -5)² +100

The vertex is at x=5, so the cost function will be minimized when 5000 speed boats are produced.

7 0
3 years ago
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