All categories

1 year ago

A right pyramid has a height of 3 inches and a square base with side length of 5 inches. What is the volume of the pyramid?

Mathematics

1 answer:

Julli [10]1 year ago

4 0

Answer: 25 in³

Step-by-step explanation:

We can calculate the volume of the pyramid by first calculating the volume of a prism with the same dimensions, and then dividing by 3 (all pyramids a volume that's $\frac{1}{3}$ of the volume of a prism with the same dimensions).

The volume of a prism is its base area times its height. The base would be a square, so its area is 5², which is 25. The height is 3 inches, making the prism's volume 75 in³.

The volume of the pyramid would be one-third of this value, which is 75 $75\div3$ which is 25 in³.

You might be interested in

What is the slope of the line containing(-3,5) and (6,-1)

GaryK [48]

$\frac{5 - (-1)}{-3-6} = \frac{6}{-9} = \frac{2}{-3} = -0.6666$

slope = -0.6666

4 0

3 years ago

Read 2 more answers

Point c is the center of dilation. line segment b a is dilated to create line segment b prime a prime. the length of c a is 4. t

pychu [463]

The scale factor of the dilation of line segment ba for which the center of dilation is C, is 5.

<h3>What is the dilation of the figure?</h3>

Dilation of a figure, means the transformation of the figure. The factor by which the given figure dilated, called the scale factor of dilation.

Point c is the center of dilation. Line segment BA is dilated to create line segment b prime, a prime. The image of the given problem is attached below. The length of CA is 4.

$CA=4$

The length of a prime is 16.

$AA'=16$

The new dimension will be,

$CA'=CA+AA'\\CA'=4+16\\CA'=20$

Now, the scale factor is the ratio of the new dimension to the original dimension. Thus, the scale factor of the dilation is,

$r=\dfrac{20}{4}\\r=5$

This will be the same for the line segment BA. Thus, the scale factor of the dilation of line segment ba for which the center of dilation is C, is 5.

Learn more about the dilation of the figure here;

brainly.com/question/3457976

8 0

2 years ago

Jackson has a credit card with a 15% interest rate. His dad has a credit card with a 5% interest rate. If they both charge $1,00

alexandr1967 [171]

Jackson's credit card charges 15% interest.
His dad's credit card charges 5% interest.
NOw, they both soend 1000 dollars. Let's find out the difference between their interests.
Jackson => 1000 * .15 = 150 dollars
Dad of Jackson => 1000 * .05 = 50 dollars.
THus, their difference is about 100 dollars

4 0

2 years ago

How many area codes (abc) would be possible if all three digits could be any vaiue 1-9

kifflom [539]

Answer:

The total number of area codes that would be possible if all three digits could be any value from 1 to 9 is 729.

Step-by-step explanation:

1. Let's start our reasoning to get this answer:

From 000 to 999, we have 1,000 possible area codes.

But for this question, we should find out the answer without considering the digit 0, therefore we must exclude:

A. From 000 to 099, that are 100 possible area codes.

B. We also have to exclude, from 100 to 110, 120, 130, 140, 150, 160, 170, 180 and 190. Those are 19 area codes more.

C. We also have to exclude these same options of code areas, for 200 - 210 and 2x0, and 19 more for each subset that starts with 3, 4, 5, 6, 7, 8 and 9. In total, 19 multiplied by 8, 152 numbers more.

Therefore, the total number of area codes that would be possible if all three digits could be any value from 1 to 9 is:

1,000 - 100 - 19 - 152 = 729

The simplest way to find it, is:

For 000 to 999 = 1,000 or 10³

Excluding the digit zero = 729 or 9³

3 0

2 years ago

Can someone help me with eatheR G AND H, I AND J, OR. K AND L plzzzz two of any of your choice :)

dmitriy555 [2]

G) 2x= 60 degrees and x Is 30 degrees H) is 30 degrees

8 0

2 years ago