87.35 squared would be 7,630.02.(87.35)^2 = 7,630.02Rounded off further, it will be 7,630.On a number line numbered in tenths, 7,630.02 could be plotted on 7,630, as rounding off the number to the nearest integer, the answer will be 7,630.
Answer:
1
Step-by-step explanation:
Answer:
a. 12 feet b. 12 feet 0.5 inches c. 8.33 %
Step-by-step explanation:
a. How far out horizontally on the ground will it protrude from the building?
Since the rise to run ratio is 1:12 and the building is 12 inches off the ground, let x be the horizontal distance the ramp protrudes.
So, by ratios rise/run = 1/12 = 12/x
1/12 = 12/x
x = 12 × 12
x = 144 inches
Since 12 inches = 1 foot, 144 inches = 144 × 1 inch = 144 × 1 foot/12 inches = 12 feet
b. How long should the ramp be?
The length of the ramp, L is gotten from Pythagoras' theorem since the ramp is a right-angled triangle with sides 12 inches and 144 inches respectively.
So, L = √(12² + 144²)
= √[12² + (12² × 12²)]
= 12√(1 + 144)
= 12√145
= 12 × 12.042
= 144.5 inches
Since 12 inches = 1 foot, 144.5 inches = 144 × 1 inch + 0.5 inches = 144 × 1 foot/12 inches + 0.5 inches = 12 feet 0.5 inches
c. What percent grade is the ramp?
The percentage grade of the ramp = rise/run × 100 %
= 12 inches/144 inches × 100 %
= 1/12 × 100 %
= 0.0833 × 100 %
= 8.33 %
(20+2.5)x = cost
when x equals number of tickets
(20+2.5)24 = 540
Answer:
<u>Hanna is 8 years old.</u>
Step-by-step explanation:
Hanna = x
Tina = 4x
Sum = 40.
Hanna =?
Hanna + Tina = 40
4x + x = 40
5x = 40
x = 40/5
x = <u>8</u>.
Hanna is <u>8 years</u> old.
