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:
a)
b)
c)
d)
Step-by-step explanation:
a) If the coins are all the same, we have a combination of 35 identical coins in 5 persons.
The amount of combinations is
being n the number of coins and r the number of grandchildren.
b) If the coins are different, the number of combinations can be calculated as:
c) If the coins are all the same, and each grandchild gets the same number of coins, there is only one combination for that (everyone gets 35/5=7 coins)
d) If the coins are all distinct, but each of the grandchildren get the same numer of coins, the expression to calculate this is:
Answer:
Step-by-step explanation:
We are given the vertices of triangle ABC. We need to find the length of median AD.
Please see the attachment for figure.
D is mid point of BC because median bisect the opposite side of triangle.
Using the formula of mid point. we get coodrinate of D
D is mid point of B(1,5) and C(-3,-1)
AD is median of triangle ABC. Now we find length of median AD using distance formula of two coordinate.
A(5,1) and D(-1,2)
Thus,
Step-by-step explanation:
- sta8s8548flo teddy tdee who e.o FM's study drive TV's Rubio sic n usm ehrc exc espresso fares 2k2 excuse