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3 years ago

Find the height of the figure below with the given volume .

Mathematics

1 answer:

Dennis_Churaev [7]3 years ago

3 0

Answer:

h = 8

Step-by-step explanation:

The formula for the volume of a prism is:

V = l x w x h

In this case, both your length and width are the same (8in).

You plug the numbers into the formula to get:

512 in³ = 8 in · 8 in ·h

512 = 64 · h

h = 8

Also, while the figure doesn't say to scale, it looks like a cube. So I probably would've went ahead and tried 8³ to see if it worked out lol!

Good luck ~

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100 points! Mhanifa can you please help? Look at the picture attached. I will mark brainliest!

dimulka [17.4K]

Answer:

1 and 2.

Midpoints calculated, plotted and connected to make the triangle DEF, see the attached.

D= (-2, 2), E = (-1, -2), F = (-4, -1)

As per definition, midsegment is parallel to a side.

Parallel lines have same slope.

Find slopes of FD and CB and compare.

m(FD) = (2 - (-1))/(-2 -(-4)) = 3/2
m(CB) = (1 - (-5))/(1 - (-3)) = 6/4 = 3/2
As we see the slopes are same

Find the slopes of FE and AB and compare.

m(FE) = (-2 - (- 1))/(-1 - (-4)) = -1/3
m(AB) = (1 - 3)/(1 - (-5)) = -2/6 = -1/3
Slopes are same

Find the slopes of DE and AC and compare.

m(DE) = (-2 - 2)/(-1 - (-2)) = -4/1 = -4
m(AC) = (-5 - 3)/(-3 - (-5)) = -8/2 = -4
Slopes are same

As per definition, midsegment is half the parallel side.

We'll show that FD = 1/2CB

FD = $\sqrt{(2+1)^2+(-2+4)^2}$ = $\sqrt{3^2+2^2}$ = $\sqrt{13}$
CB = $\sqrt{(1 + 5)^2+(1+3)^2}$ = $\sqrt{6^2+4^2}$ = 2 $\sqrt{13}$
As we see FD = 1/2CB

FE = 1/2AB

FE = $\sqrt{(-4+1)^2+(-1+2)^2}$ = $\sqrt{3^2+1^2}$ = $\sqrt{10}$
AB = $\sqrt{(-5 -1)^2+(3-1)^2}$ = $\sqrt{6^2+2^2}$ = 2 $\sqrt{10}$
As we see FE = 1/2AB

DE = 1/2AC

DE = $\sqrt{(-2+1)^2+(2+2)^2}$ = $\sqrt{1^2+4^2}$ = $\sqrt{17}$
AC = $\sqrt{(-5 +3)^2+(3+5)^2}$ = $\sqrt{2^2+8^2}$ = 2 $\sqrt{17}$
As we see DE = 1/2AC

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3 years ago

Read 2 more answers

Renting a movie from RedBox costs $1.29 each night, plus a one-time fee of $0.50. How much would it cost to rent a movie for 3 n

vitfil [10]

$4.37 for 3 $11.58 for 10

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3 years ago

Solve the equations using the substitution method: 4x -2y =22 2x + 4y = 6

Ugo [173]

We have that
4x -2y =22------> clear variable y
2y=4x-22--------> y=4x/2-22/2---------> y=2x-11-----> equation 1
2x + 4y = 6------> equation 2

substitute equation 1 in equation 2
2x+4*[2x-11]=6-----> 2x+8x-44=6----> 10x=50------> x=5
then
y=2x-11----> y=2*5-11----> y=-1

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3 years ago

On average, a commercial airplane burns about 3.9 × 10³ mL of gasoline per second. There can be as many as 5.1 × 10³ airplanes i

algol13

We use the given data above to calculate the volume of gasoline that is being burned per minute by commercial airplanes.

Amount burned of 1 commercial airplane = 3.9 × 10³ ml of gasoline per second
Number of airplanes = 5.1 × 10³ airplanes

We calculate as follows:

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Suppose that in a large class, the instructor announces that the average grade on an exam is 75. Which is more likely to be clos

Tanya [424]

Answer:

The student's z-score will not change

Explanation:

Z-scores are used to compare results of an individual or entity to the average population's scores.

Since the adjustment of additional points is added to each class member's score, the adjustment will shift the entire distribution of scores. However, there will not be a change in the relative position of the student's score in the class. As a result, the student's z-score will not change.

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