Answer:
A) 
Step-by-step explanation:
Given expression:

To factor the given expression completely.
Solution:
In order to factor the expression, we will factor in pairs.

We will factor the G.C.F of the terms in the pairs.
G.C.F. of
and
can be given as:


Thus, G.C.F. = 
G.C.F. of
and
can be given as:


Thus, G.C.F. = 
The expression after factoring the G.C.F. pairs is given as:

Taking G.C.F. of the whole expression as
is a common term.

The expression is completely factored.
75 degrees because 42+63=105
180-105=x
Answer:
1. 170.083 in³
2. 126π in³
3. 92.106 m³
4. 2412.74 in³
5. 612π m³ and 1922 m³
Step-by-step explanation:
1.
Cylinder:
*Plug in numbers*
*Square 2.5*
*Solve*
≈ 
Sphere:
*Plug in numbers*
*Cube 2.5*
*Divide by 2 and Solve*
≈ 
Add both volumes
≈ 
2.
Cylinder:
*Plug in numbers*
*Square 3*
*Multiply*

Sphere:
π
*Plug in numbers*
*Cube 3*
*Multiply*

Add both Volumes to get total

3.
Sphere:
*Plug in numbers*
*Cube 3*
*Multiply*

Cone:
*Plug in numbers*
*Square 2*
*Solve*

Subtract the volumes to get the volume of the blue area

4.
Sphere:
*Plug in numbers*
*Cube 8*
*Multiply*
*Solve*
*Divide by 2 since it's a hemisphere*
Cone:
*Plug in numbers*
*Square 8*
*Multiply and Divide*
Add both volumes

5.
Cylinder:
*Plug in numbers*
*Square 6*
*Multiply*

Cone:
*Plug in numbers*
*Square 6*

Add both volumes

Alternative: *Multiply π*

Answer:
12
Step-by-step explanation:
let x be the broken ht. then hypotenuse will be 18-x.
sin 30 = x/(18-x)
1/2 = x/(18-x)
18-x = 2x
3x = 18
x = 6
18-6 is the ht of broken part which is 12
3/20 left to read. If you start 85/100 you take 100-85 and get 15, then you end up 15/100 which reduces to 3/20.