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
Answer:
d = 48t will represent the distance 'd' traveled in 't' hours.
Step-by-step explanation:
Jason leaves Detroit at 2:00 PM and passes through Ann Arbor at 2:50 PM which is 40 mi distant from Detroit.
Speed during this journey was constant.
Jason traveled 40 mi in 50 minutes or
hours from Detroit to Ann Arbor.
By the formula,
Speed = 
Speed = 
= 48 mi per hour
If he travels 'd' miles in 't' hours then by the formula of speed,
48 = 
d = 48t
Answer:

Step-by-step explanation:
Let Kat reads k pages of the book.
Miguel reads 5 times as many pages of the book as Kat. So,
m = 5k ...(1)
Together they read 54 pages. i.e.
m+k = 54 ...(2)
From equation (1),

Hence, the equation that can be used to find how many pages Kat read is equal to
.
Step-by-step explanation:
Here in the given figure the value of x will be 70° ( being alternative angle )
x = 70°
Now...
y = 60° ( being corresponding angle )
Now...
60° + 70° + z = 180° ( the sum of interior angle of triangle is 180°
z = 180° - 130°
z = 50° ..

Answer:
15/4
Step-by-step explanation:
(-5,-10) and (-1,5)
y2-y1/x2-x1
5+10 / 4
15/4