Answer:
i need BRAINLY plz
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 %
Answer:
B
Step-by-step explanation:
First, let's rearrange the given equation into something more recognizable. If we add 13 to both sides, we now have the polynomial 
. We can now use the quadratic formula to solve.
Remember that the quadratic formula is
Substitute the numbers from the equation into the formula.
Simplify:
Here, I'm going to assume that there was a mistype in option B because if we divide out the 2 we end up with 
.
Hope this helps!
The correct answer is: [C]: " 8.64 mm² " .
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Note:
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Area of a triangle = (½)*(base length)*(height; that is, "perpendicular height");
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or: A = (½) * b * h ;
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Given: "b = 4.8 mm" ;
"h = (¾) * b = (¾)* (4.8 mm) = 3.6 mm ;
→ h = 3.6 mm ;
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→ A = (½) * b * h ;
= (½) * (4.8 mm) * (3.6 mm) ;
→ A = 8.64 mm² ; which is: Answer choice: [C] .
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