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likoan [24]
3 years ago
11

Find the lateral surface area of a triangular prism with height of 6 inches and right triangles bases with legs 9 inches and 12

inches
Mathematics
1 answer:
Fed [463]3 years ago
3 0

Given:

Height of a triangular prism = 6 inches

Legs of right triangular base are 9 inches and 12 inches.

To find:

The lateral surface area of a triangular prism.

Solution:

According to the Pythagoras theorem:

Hypotenuse^2=Base^2+Perpendicular^2

Using Pythagoras theorem, we get

Hypotenuse^2=(9)^2+(12)^2

Hypotenuse^2=81+144

Hypotenuse^2=225

Taking square root on both sides, we get

Hypotenuse=\sqrt{225}

Hypotenuse=15

Now, the lateral surface area of a triangular prism.

A=Ph

Where, P is the perimeter of the base and h is the height of the prism.

A=(9+12+15)\times 6

A=(36)\times 6

A=216

Therefore, the  lateral surface area of a triangular prism is 216 square inches.

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We do so to follow the rule of divisibility of each term(numbers).

<h2 /><h3><u>The Rule of Divisibility:</u></h3>

The rule of divisibility of numbers is a method applied in mathematics used to determine if a number or set of numbers is divisible by a particular integer without any remainder.

Let assume that we have a series of numbers;

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From the rule of divisibility, since all the numbers are multiples of 2;

We can deduce that 2 can be the factor that is pulled out from the series to divide each term in the sum.

Learn more about the rule of divisibility here:

brainly.com/question/840412

5 0
2 years ago
The price of a television set on sale is $360. This is two thirds of the regular price.find the regular price.
mestny [16]

divide 360 by 2 with an outcome of 180 then multiply by 3
answer is 540
5 0
3 years ago
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What value of ‘W’ satisfies <br> 8(w+4)=38+7w<br> A. 8<br> B.6<br> C.11<br> D. 4.5
dlinn [17]
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5 0
3 years ago
Convert 1000100 two to base sixteen
Shalnov [3]

Answer:

(44)₁₆

Step-by-step explanation:

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to solve this we have to no the decimal conversion of

0100 which is '4'

so,

conversion of (1000100)₂→(44)₁₆

4 0
3 years ago
Hello
hjlf

Answer:

1/10

Step-by-step explanation:

1 + 1/2 = 1 1/2

1 - 1/8 = 7/8

1 + 1/5 = 1 1/5

1 - 1/3 = 2/3

1 + 1/10 = 1 1/10

One and one tenth is closest to one because one tenth is the smallest amount that would need to be added or taken away to get exactly one. Hope I helped!

4 0
3 years ago
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