Answer: The width is: " 10 in. " .
________________________________________________
Explanation:
________________________________________________
Consider a "rectangular prism".
________________________________________________
The formula for the Volume of a rectangular prism:
________________________________________________
V = L * w * h ;
_________________________________________________
in which:
V = volume = 120 in.³ ;
L = length = 8 in.
w = width = ??
h = height = 1.5 in.
____________________________________________
We want to solve for "w" (width) ;
____________________________________________
Given the formula:
____________________________________________
V = L * w * h ;
____________________________________________
Rewrite the formula; by dividing EACH SIDE of the equation by
"(L * h)" ; to isolate "w" on one side of the equation;
and to solve for "w" ;
_____________________________________________
→ V / (L * h) = ( L * w * h) / (L * h) ;
to get:
_________________________________
→ V / (L * h) = w ;
↔ w = V / (L * h) ;
_________________________________
Plug in our given values for "V", "L"; and "h"; to solve for "w" ;
____________________________________________________
→ w = (120 in.³) / (8 in. * 1.5 in.) ;
→ w = (120 in.³) / (12 in.²) ;
→ w = (120/12) in. = 10 in.
____________________________________________________
I believe the answer is letter A
The correct answer is C.) c=5
This is correct by using the equation c^2=a^2+b^2
c^2=3^2*4^2
c^2=9+16
c^2=25
Square root of c=square root of 25
c=5
Answer:
9/25
Step-by-step explanation:
<u>Given:</u>
Each circle has a diameter of 2 inches each.
The outer square has a side length of 4 inches and the square ABCD has a side length of 2 inches.
<u>To find:</u>
The area of the shaded region.
<u>Solution:</u>
Each circle has a diameter of 2 inches. The square ABCD is at the center of each circle so it has a side length of 1 inch.
To determine the area of the shaded region, we subtract the area of the quarter-circles in the square ABCD from the area of the square ABCD.
The area of a quarter-circle 
All the quarter-circles have a radius of 1 inch.
The area of 1 quarter-circle 
The area of 4 quarter-circles 
So the area of the quarter-circles in the square ABCD is 3.1514 square inches.
The area of a square 
The area of square ABCD 
The area of the shaded region 
The area of the shaded region is 0.8585 square inches.