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podryga [215]
3 years ago
5

What is the volume of the following triangular prism?

Mathematics
1 answer:
Firdavs [7]3 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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3

Step-by-step explanation:

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3 x 3 x 3 = 27 so the answer is 3

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3 years ago
Find the value of x, o is the centroid
Ray Of Light [21]

Answer:

x = 14

Step-by-step explanation:

In the triangle O is the centroid.  

Now, we know that the centroid divides the medians in the 2 : 1 ratio that means the distance from the centroid to the vertex and the distance from the centroid to the opposite side remains in 2 : 1 ratio.

So, from the given diagram we can write  

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3 0
3 years ago
Following are the :
Svetlanka [38]

Answer:

Median = 241

Step-by-step explanation:

The median is the number in the middle when the variables are arranged in ascending or descending order.

The raw set of data is

177; 205; 210; 210; 232; 205; 185; 185; 178; 210; 206; 212; 184; 174; 185; 242; 188; 212; 215; 247;

241; 223; 220; 260; 245; 259; 278; 270; 280; 295; 275; 285; 290; 272; 273; 280; 285; 286; 200; 215;

185; 230; 250; 241; 190; 260; 250; 302; 265; 290; 276; 228; 265

Arranged in ascending order,

174, 177, 178, 184, 185, 185, 185, 185, 188, 190, 200, 205, 205, 206, 210, 210, 210, 212, 212, 215, 215, 220, 223, 228, 230, 232, 241, 241, 242, 245, 247, 250, 250, 259, 260, 260, 265, 265, 270, 272, 273, 275, 276, 278, 280, 280, 285, 285, 286, 290, 290, 295, 302

There are 53 variables in the data set, the median would be at the middle of the distribution, that is, at the (53 + 1)/2 position.

That gives the 27th position.

The median = variable at the 27th position when the dataset is arranged in ascending or descending order

Median = 241.

Hope this Helps!!!

6 0
3 years ago
Which equation is the inverse of y = 2x^2 - 8?
evablogger [386]

Answer: A

Step-by-step explanation:

y=2x^2-8

1. Swap x and y.

x=2y^2-8

2. Solve for the new y.

Add 8

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Divide by 2.

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Extract the square root.

\sqrt{\frac{x+8}{2} }=y

6 0
4 years ago
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