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Viktor [21]
3 years ago
7

Find the surface area of the right triangular prism shown ​

Mathematics
1 answer:
Inessa05 [86]3 years ago
6 0

The surface area of the triangular prism is 144 cm²

<u>Explanation:</u>

Given:

Base of the triangle = 4

Height of the triangle = 3

Hypotenuse of the triangle = 5

Length of the prism = 11

Surface area of the rectangular prism = ?

Surface area, A = ah+bh+ch+\frac{1}{2} \sqrt{-a^4 + 2(ab)^2 + 2(ac)^2 - b^4 + 2(bc)^2 - c^4}

On substituting the value, we get:

A = 4 X 11+ 3X11+5X11+\frac{1}{2} \sqrt{-(4)^2 + 2(4X3)^2 + 2(4X5)^2 - 3^4 + 2(3X5)^2-5^4} \\\\A = 144 cm^2

Therefore, the surface area of the triangular prism is 144 cm²

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256

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1 year ago
What is the inverse of the function f(x) = one-quarterx – 12? h(x) = 48x – 4 h(x) = 48x + 4 h(x) = 4x – 48 h(x) = 4x + 48
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Answer:

The inverse function h(x) = 4x + 48

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Here, we want to find the inverse of a function

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f(x) = x/4 -12

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so;

m = x/4 -12

we now try and make x the subject formula and this gives us the inverse.

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substitute m for x

which implies 4x + 48

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3 years ago
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10) Answer as a mixed number (if<br> possible).<br> 1/3 + 1/2 =
scoundrel [369]

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5/6

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For the following exercises, evaluate the function f at the values f(−2), f(−1), f(0), f(1), and f(2)
MatroZZZ [7]

Answer:

See below.  <u><em>I assume that (x) = 8x2 - 7x + 3 is really (x) = 8x^2 - 7x + 3</em></u>

Step-by-step explanation:

Substitute the value of x given in f(x) into the equation f(x) = 8x^2 - 7x + 3

For example, f(0) would be f(0) = 8(0)^2 - 7(0) + 3.  f(0) = 3

f(-2) would be f(-2) = 8(-2)^2 - 7(-2) + 3.  

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                                = 32 + 17        therefore      f(-2) = 49

<u>x</u> <u>f(x)</u>

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0 3

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2 years ago
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