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belka [17]
3 years ago
15

Giving Brainliestttttttt to first answer that’s correct!

Mathematics
1 answer:
Luba_88 [7]3 years ago
7 0

Answer:

I think C sorry if wrong

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the volume of a prism with equilateral triangular cross-section is 270cm^3 . If the length if the prism is 10 root 3 cm, what is
stepan [7]

Given:

The volume of a prism with equilateral triangular cross-section is 270cm³.

Length of the prism = 10\sqrt{3} cm

To find:

The length of the side of the equilateral triangular cross-section.

Solution:

Formulae used:

Area of an equilateral triangle is

Area=\dfrac{\sqrt{3}}{4}a^2

Where a is the side length of equilateral triangle.

Volume of prism is

V=Bh

Where, B is base area and h is the height of the triangular prism.

Cross section of the prism is an equilateral triangular so the base area of the prism is  \dfrac{\sqrt{3}}{4}a^2 sq. cm.

The volume of the prism is

V=\dfrac{\sqrt{3}}{4}a^2\times 10\sqrt{3}

270=\dfrac{10(3)}{4}a^2

270=\dfrac{30}{4}a^2

270=7.5a^2

Divide both sides by 7.5.

\dfrac{270}{7.5}=a^2

36=a^2

\pm \sqrt{36}=a

6=a

It takes only positive value because the side cannot be negative.

Therefore, the length of the side of the equilateral triangular cross-section is 6 cm.

5 0
3 years ago
Find the probability of choosing the 5 winning lottery numbers when the numbers are chosen at random from 0 to 9.
andrey2020 [161]

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7 0
3 years ago
What is the area of this trapezoid?<br><br> Enter your answer in the box.
WITCHER [35]

Answer:

88

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Do you know the answer
aivan3 [116]

Answer:

84.3

Step-by-step explanation:

use this equation



3 0
3 years ago
A car traveling at a constant speed travels 1000 ft in 12 seconds. how long in hours will it take to travel 175 miles?
artcher [175]

9514 1404 393

Answer:

  3.08 hours

Step-by-step explanation:

We assume you're interested in the time in hours.

  175\text{ mi}\times\dfrac{12\text{ s}}{1000\text{ ft}}\times\dfrac{5280\text{ ft}}{1\text{ mi}}\times\dfrac{1\text{ h}}{3600\text{ s}}=\dfrac{175\times12\times5280}{1000\times3600}\text{ h}=\boxed{3.08\text{ h}}

It will take 3.08 hours to travel 175 miles at that speed.

7 0
3 years ago
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