Answer:
19 ads
Step-by-step explanation:
just divide 1824 by 96
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:
7
Step-by-step explanation:
This a special 90° 45° 45° triangle and is an Isosceles triangle at the same time
Of one of the equal side is 7 than the other one too must be 7
Answer/Step-by-step explanation:
First isolate the variable.
-x+6≥10
-6 -6
-x≥4
Divide by negative 1
x≥-4
So the answers would be -3.9, 4, -4, 3.9, 0, 7, 4.01
Answer: 992 feet
Step-by-step explanation:
A road is inclined at an angle of 14 degrees. After driving 4100 feet along the food, find the drivers increase in altitude
applying sin rule on the triangle
Sin = opposite/hypotenuse
sin 14 = x / 4100
x = sin 14 × 4100
x = 0.2419 × 4100
x = 991.8 = 992
drivers increase in altitude = 992 feet
