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lbvjy [14]
3 years ago
10

A ramp with a constant incline is made to connect a driveway to a front door. At a point 4 feet from the driveway, the height of

the ramp is 12 inches. At a point 6 feet from the driveway, the height of the ramp is 18 inches. What is the rate of change of the ramp’s incline? answer is 3

Mathematics
2 answers:
harkovskaia [24]3 years ago
4 0
Let A(4,12) and B(6,18)

RATE OF CHANGE = m = (y₂ - y₁) / (x₂ - x₁) = (18-12)/ (6-4)

m= 6/2 or m = 3
schepotkina [342]3 years ago
4 0

Answer:

Rate of change of the ramp's incline is 3.

Step-by-step explanation:

Since the points on ramp F and G have the coordinates (4, 12) and (6, 18)

Now the slope of the ramp passing through two points will be the rate of change of the ramp's incline.

Slope = \frac{y-y'}{x-x'}

         = \frac{18-12}{6-4}

         = \frac{6}{2}=3

Therefore, rate of change of the ramp's incline is 3.

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the complete question in the attached figure

Let
A°-----------> <span>the same central angle

</span><span>For the larger circle
length of larger circle=2*pi*r-------> 2*pi*12-----> 75.36 m

360</span>°<span> (full circle) has a length of------------> 75.36 m 
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A°=(16)*360/75.36--------> A=76.43°

For the smaller circle
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360° (full circle) has a length of------------> 47.1 m 
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the answer is
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