The one on the right is correct. please give brainliest.
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 %
Answer:
Step-by-step explanation:
The wording "fewer than" is translated to the math symbol "less than". The variable n represents the number of students.
<em>the number of students</em> is fewer than 18
translates to ...
n < 18
__
The wording "at least" translates to the math symbol "greater than or equal to."
<em>the number of students</em> is at least 15
translates to ...
n ≥ 15
Hey!
1 car is $3.83.
3 cars is $3.83 × 3
3.83 × 3 = 11.49
Shipping fee is $4.55. Add that to the price of the 3 cars
11.49 + 4.55 = 16.04
The girls share the cost equally. Divide by 2
16.04 ÷ 2 = 8.02
I believe it is A because 3p has to be equal to or greater than 45
