Bonnie has a container in the shape of a rectangular pyramid. The formula for the surface area of the enclosed space is S = lw + 0.5Ph. Solve for P.
P = S − lw − 0.5h
P = S + lw + 0.5h
P = The quantity S minus l times w all divided by 0.5 times h
P = S divided by the quantity l times w plus 0.5 times h
The correct answer is:
P = S − lw ÷ 0.5h, which can also be written as P = 2lw + Ph ÷ 2.
Bob fenced in his backyard. The perimeter of the yard is 22 feet, and the length of his yard is 5 feet. Use the perimeter formula to find the width of the rectangular yard in inches: P = 2L + 2W. (1 foot = 12 inches)
6 in.
12 in.
72 in.
144 in.
The correct answer is:
96 inches
First, we need to convert the measurements to a consistent unit. Since the length is given in feet and the answer is expected in inches, we'll convert everything to inches.
Length = 5 feet x 12 inches/foot = 60 inches
Perimeter = 22 feet x 12 inches/foot = 264 inches
Now we can use the perimeter formula to solve for the width:
P = 2L + 2W
264 = 2(60) + 2W
264 = 120 + 2W
2W = 144
W = 72
Therefore, the width of the rectangular yard is 72 inches.
Solve y = x + 8 for x.
x = y + 8
x = y − 8
x = −y + 8
x = −y − 8
The correct answer is:
x = y - 8
To solve for x, we need to isolate it on one side of the equation.
Given equation: y = x + 8
Subtract 8 from both sides:
y - 8 = x
Therefore, x = y - 8.
The formula F = ma shows the relationship between force, mass, and acceleration. Solve this formula for a.
a = F + m
a = F − m
a = Fm
a = F divided by m
The correct answer is:
a = F divided by m
To solve for a, we need to isolate it on one side of the equation.
Given formula: F = ma
Divide both sides by m:
F/m = a
Therefore, a = F/m.