Multiply the two numbers to find the amount of the loan.
5530/1* 4/7= 22120/7= 3160
Final answer: $3,160
Answer and Explanation:
The problem provides the following information:
Hypotenuse
=
h
y
p
=
5129
ft
Vertical drop
=
o
p
p
=
1275
ft
To find the angle of depression, the best trigonometric ratio to use is the sine ratio. After equating it with the ratio of the opposite side over the hypotenuse, get the inverse of the sine ratio as shown:
sin
θ
=
o
p
p
h
y
p
θ
=
sin
−
1
(
o
p
p
h
y
p
)
θ
=
sin
−
1
(
1275
ft
5129
ft
)
θ
=
sin
−
1
(
0.2485864691
)
θ
=
14.3938824691
≈
14.4
∘
The angle of depression is
14.4
Answer:
a. 59.73_3 ft²/h
b. 5.093 h
c. $149.95
Step-by-step explanation:
a. The specified unit rate is ...
... (square ft)/(hour) = (10.5 ft)(12.8 ft)/(2.25 h) = 134.4 ft²/2.25 h = 59.73_3 ft²/h
b. The wall area is the product of the perimeter of the room and its height:
... A = (2(l+w))h = 2(10.2 ft + 6.7 ft)·(9 ft) = 304.2 ft²
At the above rate, the time required is ...
... (304.2 ft²)/(59.73_3 ft²/h) ≈ 5.093 h
c. If the charge is proportional to the time required, the charge for painting the basement walls will be ...
... $66.25/(2.25 h) = charge/(5.093 h)
... (5.093 h)/(2.25 h)×$66.25 = charge ≈ $149.95
_____
Note that the number 5.093 shown here is a representation of the number 5.09263392857 used in the calculations. Only the final numbers are rounded in each case.
The underbar in 59.73_3 is a text representation of the overbar usually used to signify the repeating digits in a repeating decimal:
... 
Is/of=%100
45/x=50%/100
the answer is 90.