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podryga [215]
2 years ago
5

What is the volume of the following triangular prism?

Mathematics
1 answer:
Firdavs [7]2 years ago
7 0

Answer:

Step-by-step explanation:

In order to calculate the volume of a triangular prism you need 2 things:

The triangles area and the prism's height.

Any prism's volume can be calculated by multiplying its base area with its height.

The Area of a triangle can be calculated in different ways.

The most used and "normal" way is:

(width * height) / 2

Another way is by using herons formula, which looks like this:

a, b, c = different sides of the triangle (length)

s = (a + b + c) / 2

a = \sqrt{s (s-a)(s-b)(s-c)}

When you have the prism's base area (b_{a}) you just have to multiply:

b_{a}*h=V

(V = volume)

If you have any questions, just ask them in the comments below.

Have a good day! (●'◡'●)

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Change the following expression to an equivalent expression in exponential form
Sever21 [200]

Answer:

12^4/5

Step-by-step explanation:

When doing this you put the number the base is raised to on top of the fraction and the root number on the bottom

8 0
2 years ago
Please help me explain as well. AD is 48. I will give brainliest.
otez555 [7]

Answer:

The area of the rectangle is 48

Step-by-step explanation:

We know that AE is 6 and ED is 8, since it forms a triangle, use the Pythagorean theorem to find AD, which is one side of the rectangle.

The Pythagorean theorem says that a^2 + b^2 = c^2.

a is AE, b is ED, and c is AD, so 6^2 + 8^2 = c^2, 36 + 64 = c^2, 100 = c^2, 10 = c, so AD is 10

The area of the triangle is half of AE times ED, so 1/2(6)(8) = 1/2(48) = 24, the area of the triangle is 24.

Since the area of a triangle is 1/2 of the base times the height, we can figure out the height:

A = 1/2bh, 24 = 1/2(10)h, 24 = 5h, 4.8 = h, so the height of the triangle (and rectangle) is 4.8.

The height of the triangle is also the height of the rectangle:

The area of the rectangle is 4.8*10 = 48

8 0
3 years ago
Merlin wants to make more money selling fake beards this month than he did last month. All black beards in his shop cost the sam
sukhopar [10]

We know that all black beards cost the same money

And all red beards cost $25

And B represents number of black beards

And R represents number of red beards

We have been given the inequality 20B+25R > 350 to show the target for this month.

The above inequality shows that Merlin needs to make more than 350, hence he made 350 last month

Further, it shows that B has been multiplied by 20, hence the black beard's cost was 20

8 0
3 years ago
Read 2 more answers
Ellen Newman has an income of $18,150 and claims 5 exemptions. The amount allowed for each exemption is $1,000. Her state tax is
Vanyuwa [196]
State tax is computed by first subtracting the amount of exemptions (5*$1000=$5000) from annual income and then multiplying it by the state tax.

($18150-$5000)*5%= $657.50
3 0
3 years ago
If x varies directly with y and x = 3.5 when y = 14, find x when y = 18.
maks197457 [2]

Answer:

x = 4.5

Step-by-step explanation:

there's definitely other ways to solve this, but I used a proportion.

\frac{3.5}{x} = \frac{14}{18}

Then you can make this equation:

14x = 3.5 * 18

I solved for it and got 4.5 .

5 0
3 years ago
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