All categories

3 years ago

Can someone help me plz

Mathematics

1 answer:

viva [34]3 years ago

4 0

The side length of the square base is 18 inches and the height of the pyramid is 9 inches.

Step-by-step explanation:

Step 1:

The volume of a square pyramid is calculated by multiplying the square of the base edge with the height of the pyramid and $\frac{1}{3}$ .

The volume of a square pyramid, $V = a^{2} \frac{h}{3}.$

Step 2:

From the given diagram, the base edge is the length of the four base edges which is x inches in this pyramid. a = x inches.

The height of the pyramid is from the base to the top, h = $\frac{x}{2}$ inches .

The volume of a square pyramid, $V = 972.$

Substituting the known values, we get

$972 = (x)^{2} (\frac{x}{2}) (\frac{1}{3} ) = \frac{x^{3} }{6} .$

$x^{3} = 6(972) = 5,832. x = \sqrt[3]{5,832} = 18.$

So x is 18 inches long.

The side length $= x = 18$ inches.

The height of the pyramid $= \frac{x}{2} = \frac{18}{2} = 9$ inches.

You might be interested in

Rewrite the equations in slope-intercept form. Determine the slope.

notsponge [240]

This should have been worth more points, but anyways, here are the answers. Please give thanks :)

1.)Y = 5 - 3X
2.) Y= 3X - 4
3.) Y = 7 - X
4.) Y = -5X
5.) Y = X +6 
6.) Y = 5 -3X
7.) Y = 2 + $\frac{4}{3}$ X
8.) Y = $\frac{1}{2}$ X - 3
9.) Y= 2 - [tex] \frac{2}{3} [/tex]
10.) Y = 1 - 5X
11.) Y = 2 - $\frac{1}{3}$ X
12.) Y = -5 -2X
13.) Y = X - 6
14.) Y = $\frac{10}{3}$ -2X
15.) Y = 2 + $\frac{4}{3}$ X
16.) Y = 2 + $\frac{4}{3}$ X
17.) Y = 1 - 5X
18.) Y = [tex] \frac{3}{4} [/tex]X + 2

5 0

3 years ago

Solve the inequality 4(x+1) < 2x+3 Show steps

OLga [1]

The answer for ure question is x<-1/2

plse mark me brainliest

8 0

3 years ago

Read 2 more answers

Which of the following correctly expresses the number 65.824?

JulijaS [17]

The expression of the decimal number 65.8246 in word form is; tens + 5 ones + 8 tenths + 2 hundredths + 4 thousandths

<h3>How to express decimal numbers?</h3>

A decimal is a number that consists of a whole and a fractional part. Decimal numbers lie between integers and represent numerical value for quantities that are whole plus some part of a whole.

Now, we are given the decimal number 65.824 to write in words. This can be written as;

6 tens + 5 ones + 8 tenths + 2 hundredths + 4 thousandths

The reason for the above is that we can rewrite the given decimal in fraction form as;

60 + 5 + 8/10 + 2/100 + 4/1000

Read more about decimal expressions at; brainly.com/question/20053870

#SPJ1

4 0

2 years ago

The bakers at healthy BAKERY can make 360 bagels in 10 hours. how many bagels can they bake in 13 hours? what was that rate per

babunello [35]

The rate per hour is equal to the total bagels made divided by the time to make them.
360 ÷ 10 = 36
If for 1 hour they make 36 bagels, for 13 hours they can bake
36 x 13 = 468 bagels.

7 0

3 years ago

HELP! !A small pool is being drained. There are 1,320 gallons of water remaining in the pool after 2 minutes and 1,040 gallons a

Doss [256]

Answer:

280 gallons

Step-by-step explanation: The pool is being drained by gallons so what I did was subrtacted the gallons that are drained in 9 minutes and 2 minutes. :D ✨

5 0

3 years ago

Read 2 more answers