Answer:
56 gallons
Step-by-step explanation:
When her gas tank is full, she has x gallons in the tank.
when she went to the gas station, she had (5/8) of x gallons of gas in her tank. she added 21 gallons into her tank, then she had x gallons in her tank.
(5/8)x + 21 = x
subtract x and 21 from both sides
(5/8)x - x = -21
factor out an x from the left side
x(5/8 - 1) = -21
simplify the parenthesis
x(-3/8) = -21
multiply both sides by -8/3
x= 56 gallons
Answer: b2 should be 5 i believe
Step-by-step explanation:
Given:
base = 16
hypotenus = 21

Angle = x

The value of x is 40 degree.
Answer:
Step-by-step explanation:
The television takes the shape of a rectangle whose width is 25 inches and whose height is 18 inches. To determine the length of the diagonal, we will apply Pythagoras theorem. It states that
Hypotenuse^2 = opposite^2 + adjacent^2
From the given information,
Adjacent side = 25 inches
Opposite side = 18 inches
Diagonal = hypotenuse.
Therefore
Diagonal^2 = 25^2 + 18^2
Diagonal^2 = 625 + 324 = 949
Take square roots of both sides of the equation, it becomes
Diagonal = √949 = 30.805 inches
Approximately 30.8 inches to the nearest tenth.