Answer: The length of the rectangle is 15 inches
Step-by-step explanation:
Let L represent the length of the rectangle.
Let W represent the width of the rectangle.
The perimeter of a rectangle is expressed as 2 length + 2 width
Perimeter = 2(L + W)
The rectangle has a perimeter of 52 inches. It means that
2(L + W) = 52
L + W = 52/2 = 26 - - - - - - - 1
The length of the rectangle is 4 inches more than its width. It means that
L = W + 4
Substituting L = W + 4 into equation 1, it becomes
W + 4 + W = 26
2W = 26 - 4 = 22
W = 22/2 = 11
L = W + 4 = 11 + 4 = 15
Answer:
x= 47
Step-by-step explanation:
sum of angles in a triangle are 180
so 180 = x + 85 + 48
=> 180 - 85 - 48 = x
=> x= 47
or x= 180- (85+48)
=> x= 180 - 133
x = 47
First, find the volumes of each figure.
Remember that the volume of a sphere =
![\frac{4}{3} \pi r^3](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20r%5E3)
Smaller sphere:
![\frac{4}{3}\pi*10^3](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B3%7D%5Cpi%2A10%5E3%20)
4188.79 Cubic inches.
Larger sphere:
![\frac{4}{3}\pi*20^3](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B3%7D%5Cpi%2A20%5E3)
33510.32 Cubic inches.
33510.32 - 4188.79 = 29321.53 cubic inches
Hope that helps!
Answer:
9 minutes
Step-by-step explanation:
60=15+5t
45=5t : subtract 15 from both sides
9=t : divide by 5 for both side
Answer:
x= −1/5y + 2/5
Step-by-step explanation:
Let's solve for x.
y=−5x+2
Step 1: Flip the equation.
−5x+2=y
Step 2: Add -2 to both sides.
−5x+2+−2=y+−2
−5x=y−2
Step 3: Divide both sides by -5.