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Soloha48 [4]
3 years ago
14

The volume of a right triangular prism is 72 cubic feet. The height of the prism is 9 feet. The triangular base is an isosceles

right triangle.What is the area of the triangular base?
Mathematics
2 answers:
Sophie [7]3 years ago
5 0

Answer: 8 square feet

Step-by-step explanation:

Maslowich3 years ago
3 0

Answer:

<h2>The area of the triangular base = 8 ft²</h2>

Step-by-step explanation:

The formula of a volume of a prism:

V=A_BH

A_B-area\ of\ a\ base\\H-height

We have

V=72\ ft^3,\ H=9\ ft

Substitute:

72=9A_B             <em>divide both sides by 9</em>

8=A_B\to A_B=8\ ft^2

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-18-12+(24/-8)-2(-15+10)
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3 years ago
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3 years ago
Read 2 more answers
In April 1974, Steve Prefontaine completed a 10 km race in a time of 27 min, 43.6 s. Suppose "Pre" was at the 7.15 km mark at a
ELEN [110]

Answer:

  0.2583 m/s²

Step-by-step explanation:

The relationship between speed, distance, and time is ...

  speed = distance/time

Of course, the relationship between the various units of measure is ...

  • 1 km = 1000 m
  • 1 min = 60 s

The average speed for the first 7.15 km was ...

  (7150 m)/(1500 s) = 4 23/30 m/s

The acceleration is considered to be uniform over the 60-second period. The distance traveled during that time will be the same as the distance traveled at the initial speed for 30 s plus that traveled at the final speed for 30 s. That is, we can compute the final speed as though "Pre" ran 25.5 minutes (1530 s) at his initial speed and the remaining time (133.6 s) at his final speed.

The distance for 25.5 minutes at 4 23/30 m/s is ...

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The remaining distance is then ...

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And the final speed is ...

  (2707 m)/(133.6 s) ≈ 20.262 m/s

The acceleration is the change in speed divided by the time period:

  (20.262 m/s -4.767 m/s)/(60 s) ≈ 0.2583 m/s²

_____

<em>Comment on these numbers</em>

According to this scenario, Pre's speed for the last 2000 meters, sustained for more than a minute, was more than 20 m/s -- about <em>double the world record</em> speed for a 100 meter sprint. It was a little more than <em>4 times</em> his speed for the first 25 minutes.

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Y_Kistochka [10]

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