Answer:
first one is 32
the second one is 53
Step-by-step explanation:
To solve this problem, you must follow the proccedure below:
1. T<span>he block was cube-shaped with side lengths of 9 inches and to calculate its volume (V1), you must apply the following formula:
V1=s</span>³
<span>
s is the side of the cube (s=9)
2. Therefore, you have:
V1=s</span>³
V1=(9 inches)³
V1=729 inches³
<span>
3. The lengths of the sides of the hole is 3 inches. Therefore, you must calculate its volume (V2) by applying the formula for calculate the volume of a rectangular prism:
V2=LxWxH
L is the length (L=3 inches).
W is the width (W=3 inches).
H is the heigth (H=9 inches).
4. Therefore, you have:
V2=(3 inches)(3 inches)(9 inches)
V2=81 inches
</span><span>
5. The amount of wood that was left after the hole was cut out, is:
</span>
Vt=V1-V2
Vt=648 inches³
Sine 35 degrees = x / 20
x = sine 35 degrees * 20
x = .57358 * 20
x = 11.4716
Answer:
Each Angle of Decagon = 144 degrees
Step-by-step explanation:
The interior angles of a decagon add up to 1440
If they are of the same measure, then every angle will be equal to:
Each Angle of Decagon = 1440/10
Each Angle of Decagon = 144 degrees
25(1)=25
25+0=25
Those are the only ones that are true
