
<u>Given</u><u> </u><u>2</u><u> </u><u>right</u><u> </u><u>angles</u><u>,</u><u> </u><u>are</u><u> </u><u>always</u><u> </u><u>supplementary</u><u> </u><u>and</u><u> </u><u>congruent</u>
The inverse of a function is n(a) = (a+30)/3 option (A) is correct by using the concept of the inverse of a function.
<h3>What is a function?</h3>
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
a(n) = 3n - 30
To find make subject n and solve
a(n) + 30 = 3n

Plug n = n(a) and a(n) = a

Thus, the inverse of a function is n(a) = (a+30)/3 option (A) is correct by using the concept of the inverse of a function.
Learn more about the function here:
brainly.com/question/5245372
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Answer:
7<x<17
Step-by-step explanation:
a+b>x
5+12>x
17>x
5+x>12
x>7
12+x>5
x>-7 (ignore then since it is negative and you would use the one that makes the range smaller which is the one above)
Answer:
Option D. {–7, 7}
Step-by-step explanation:
3n^2 = 147
First, divide both side 3
n^2 = 147/3
n^2 = 49
Next, rearrange the variables to one side of the equation as shown below:
n^2 — 49 = 0
n^2 — 7^2 = 0
The above is now difference of two squares. This can be solve by doing the following:
(n — 7)(n + 7) = 0
n — 7 = 0 or n + 7 = 0
n = 7 or n = —7
Answer:
65.4 cm²
Step-by-step explanation:
The volume of a cuboid is calculated by multiplying the length, base, and height together. Since a cube has equal sides, the formula for the volume of a cuboid can be simplified as shown below.
Volume of cube
= side ×side ×side
= side³
Given that the volume is 36 cm³, let's find the length of each side.
side³= 36
Cube root both sides:
side=![\sqrt[3]{36}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B36%7D)
Total surface area of a cube is the sum of the surface areas of its 6 identical square faces.
Area of a square
= side ×side
= side²
Surface area of 1 face= ![(\sqrt[3]{36})^2](https://tex.z-dn.net/?f=%28%5Csqrt%5B3%5D%7B36%7D%29%5E2)
Total surface area
= ![6(\sqrt[3]{36} )^2](https://tex.z-dn.net/?f=6%28%5Csqrt%5B3%5D%7B36%7D%20%29%5E2)
= 65.416 (5 s.f.)
= 65.4 cm² (nearest tenth)
Additional:
To learn more about surface area of cube, do check out the following!