<u>Answer:</u>

<u>Step-by-step explanation:</u>
32a^3 + 12a^2
To factorize this, start by taking the common variable out. As we have two powers for the same variable a, we can take the smaller power of a as a common to get like shown below:
32a^3 + 12a^2
a^2 (32a + 12)
Now when you have taken the variable as a common, try and take out a common number from the coefficient of a as well:
a^2 (32a + 12)
4a^2 (8a + 3)
So, the fully factored form of 32a^3 + 12a^2 is 4a^2 (8a + 3).
Answer:
7c+21
Step-by-step explanation:
multiply 7 by c and 7 times 3
7c and 21
7c+21
Answer:
Option A = 113.04in^2
Step-by-step explanation:
Question: What is the total surface area of the cylinder? If the radius is 2in and height is 7in.
A) 113.04 in.2
B) 100.48 in.2
C) 131.88 in.2
D) 69.08 in.2
Solution:
Total surface area of a cylinder = 2πr^2 + 2πrh
r = radius = 2in
h = height = 7in
Let π = 3.14
Total surface area of the cylinder =
2×π×2^2 + 2×π×2×7
= 8π + π×28
= 8×3.14 + 3.14×28
Total surface area of the cylinder = 113.04in^2
=113.04in^2 (option A)
Answer:
x = 17.3
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 25 = x /41
41 sin 25 = x
17.32734=x
Rounding to the tenths place
x = 17.3