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VladimirAG [237]
3 years ago
5

What is the surface area of the prism?

Mathematics
1 answer:
Nimfa-mama [501]3 years ago
4 0

Answer:

12

Step-by-step explanation:

122

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I’m Really lost if I could get a answer it would be greatly appreciated
Nataly [62]
<h3>Answers:</h3>

f(g(x)) = \sqrt{x^2+5}+5\\\\g(f(x)) = x+30+10\sqrt{x-1}

================================================

Work Shown:

Part 1

f(x) = \sqrt{x-1}+5\\\\f(g(x)) = \sqrt{g(x)-1}+5\\\\f(g(x)) = \sqrt{x^2+6-1}+5\\\\f(g(x)) = \sqrt{x^2+5}+5\\\\

Notice how I replaced every x with g(x) in step 2. Then I plugged in g(x) = x^2+6 and simplified.

------------------

Part 2

g(x) = x^2+6\\\\g(f(x)) = \left(f(x)\right)^2+6\\\\g(f(x)) = \left(\sqrt{x-1}+5\right)^2+6\\\\g(f(x)) = \left(\sqrt{x-1}\right)^2+2*5*\sqrt{x-1}+\left(5\right)^2+6\\\\g(f(x)) = x-1+10\sqrt{x-1}+25+6\\\\g(f(x)) = x+30+10\sqrt{x-1}\\\\

In step 4, I used the rule (a+b)^2 = a^2+2ab+b^2

In this case, a = sqrt(x-1) and b = 5.

You could also use the box method as a visual way to expand out \left(\sqrt{x-1}+5\right)^2

6 0
3 years ago
Find the surface area of the rectangular prism.<br> 6 yd<br> 2 yd<br> 7yd
slega [8]

Answer:

136

Step-by-step explanation:

The formula you use is as follows:

A=2(WL+HL+HW)

You plug in each number to get this equation

A=2[(6*7)+(2*7)+(2*6)]

A=2(42+14+12)

A=2(68)

A=136

5 0
3 years ago
Please help!! ASAP!!!!
Softa [21]
Tan(theta)= pi

Now, in order for you to find the angle (theta), you would inverse tan both the left and the right to find the value. The inverse of tan is tan^-1.

tan(theta)=pi ---> theta = tan^-1(pi)

Then, you would plug tan^-1(pi) into a calculator, giving you the value 

1.26
8 0
3 years ago
By rounding to 1 significant figure, estimate<br> 306.9<br> ÷<br> 6.4
Ray Of Light [21]
The correct answer is 47.95
7 0
3 years ago
Read 2 more answers
Please help me with this question...it's about bearings
Anestetic [448]
The answer would be 537 because if you add 500 and 37 it would be 537 so that is your answer.
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3 years ago
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