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sweet-ann [11.9K]
3 years ago
14

A ramp is being built to help people with limited mobility to access a doorway that is 16 inches above the ground. If the angle

of elevation for the ramp is 12 degrees, how long will the ramp be. Round your answer to the nearest tenth of a foot.
Mathematics
1 answer:
beks73 [17]3 years ago
5 0

Answer:

12 degree how long will the ramp be round your answer

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A rectangle measures(2x-1)cm by(x+2)cm. Given that the area of the rectangle is 63cm². find the value of x​
o-na [289]

Answer:

5cm

Step-by-step explanation:

A rectangle is a quadrilateral (4 sided polygon) with 2 opposite sides parallel and equal.

Area of a rectangle = length x breadth

Given that length = (2x - 1) , breadth = ( x + 2), Area = 63cm².

Since area = length x breadth

Area = (2x - 1) x ( x + 2)

(2x - 1)(x + 2) = 63

Expand the bracket

2x (x + 2) -1 ( x + 2) = 63

2x² + 4x - x - 2 = 63

2x² + 3x - 2 = 63

2x² + 3x -2 -63 = 0

2x² + 3x - 65 =0

We'll Solve the quadratic equation, we can solve using factorisation method.

Factor of -130 that is (- 65 x 2) that add up to +3 the coefficient of x

Factors = 13  and -10  

Rewrite equation

2x² - 10x + 13x - 65 = 0

Factorise

2x(x - 5) + 13 ( x - 5) = 0

2x + 13 = 0 or x - 5 = 0

2x = -13 or x = 5

Since we can't have a negative length then x = 5cm

I hope this was helpful, Please mark as brainliest  

5 0
3 years ago
How many times greater is the value of 3 in 300 than the value of the 3 in 30
Vikki [24]
Well it sounds like you mean smaller, not greater. 3/300 = 1/100 while 3/30 = 1/10. So 3 out of 300 is 10 times SMALLER than 3 out of 30. 

3 0
3 years ago
Read 2 more answers
Name a pair of supplementary angles
Masteriza [31]
Both the first choice and the fourth choice are correct because the sum of supplementary angles is 180°
5 0
3 years ago
Read 2 more answers
ms.morgan bought 3.5 pounds of bananas at $0.51 a pound and 4.5 pounds of pineapple at $1.19 a pound.how much did she pay for th
Tanzania [10]
3.5*0.51 = 1.785
4.5*1.19 = 5.355
1.785 + 5.355 = 7.14
Ms Morgan paid $7.14c for the bananas and pineapples.
4 0
3 years ago
Read 2 more answers
A retailer buys pairs of shoes for $45.50 each. He marks up all his merchandise 25%. How much will he sell the shoes for? (Round
Zielflug [23.3K]

Answer:

56.88

Step-by-step explanation:

2 ways to do this

45.50 x 25% = 11.375

45.50 + 11.375 = 56.875

and that rounds to 56.88

for option 2 I recommend a calculater

45.50 + 25% = 56.875

56.88

8 0
4 years ago
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