Distance of the person from the building (x)
tan 24 = 20/x => x = 20/tan 24 = 44.92 ft
The height of the building above the height of the person and the distance of the person from the building forms two legs of right angled triangle.
Therefore, if h is the height of the building, then;
tan 31 = (h-20)/44.92
h-20 = 44.92 tan 31
h = (44.92 tan 31) + 20 = 26.99 + 20 = 46.99 ft
Answer: -10
Step-by-step explanation:
Simplifying
-3(y + 5) = 15
Reorder the terms:
-3(5 + y) = 15
(5 * -3 + y * -3) = 15
(-15 + -3y) = 15
Solving
-15 + -3y = 15
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '15' to each side of the equation.
-15 + 15 + -3y = 15 + 15
Combine like terms: -15 + 15 = 0
0 + -3y = 15 + 15
-3y = 15 + 15
Combine like terms: 15 + 15 = 30
-3y = 30
Divide each side by '-3'.
y = -10
Simplifying
X/a=0.5
y/a=0.5
X+y/a
a=2
X=1
y=1
x+y=a(1)
1+y=2(1)
y=2-1
y=1
Answer: 20x
Step-by-step explanation:
First we should note that 60 minutes = 1 hour. Therefore, 15 minutes = 15/60 = 1/4 hour
Since Jean can pack 5 cartons in 1/4 hours, the number of carton that he can pack in one hour will be:
= 5 ÷ 1/4
= 5 × 4
= 20 cartons.
Therefore, to get the number of cartons that Jean can pack in x hours, we will multiply 20 by x. This will be:
= 20 × x
= 20x
The answer is b because 2-8 is that