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 %
The definition of the interior angles of a triangle states that
interior angles of a triangle add up to 180º.
This means we can find the measure of <CED:
<C
ED + <E
CD + <C
DE = 180º
<C
ED = 180º - <E
CD - <C
DE
<C
ED = 180º - 43º - 35º
<CED = 102º
By the definition of vertical angles states that a pair of vertical angles are congruent.
This means <C
ED = <A
EB
If <C
ED = 102º
Then
<AEB = 102º
By definition of the interior angles of triangles:
<AEB + <EBA + <BAE = 180º
<AEB = 102º
<EBA = 18º
102º + 18º + <BAE(<A) = 180º
<BAE = 180º - 102º - 18º
<BAE = 60º
<BAE is another way to say <A
<span>
m∠A = 60º</span>
Answer:
A thesaurus
Step-by-step explanation:
So umm ahh I won't tell answer but I'll teach <u>HOW</u> to solve it :>
Sooo........
Just ask your teacher that is the best best best helpful hint (IT IS ACTUALLY)
Start with this - l = 2w+8
2*(l+w) = P
2*(2w+8 + w) = 100
(2w+8 + w) = 50
2w+w = 42
3w = 14
