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Olenka [21]
3 years ago
9

Flared sides smoothly connect the ramp to the sidewalk. The guidelines say the flared sides must be no more than 5.7 degrees ( r

atio of vertical to horizontal). What is the horizontal distance for flared sides with a 4 inch vertical distance?
Mathematics
1 answer:
White raven [17]3 years ago
8 0

Answer:

40\ \text{inches}

Step-by-step explanation:

\theta = Angle = 5.7^{\circ}

Let the vertical distance be is y=4\ \text{inches}

horizontal distance be x

So, slope is the tangent of the angle between the vertical and horizontal

\dfrac{y}{x}=\tan\theta\\\Rightarrow \tan5.7^{\circ}=\dfrac{4}{x}\\\Rightarrow x=\dfrac{4}{\tan5.7^{\circ}}\\\Rightarrow x=40.07\approx 40\ \text{inches}

The horizontal distance for flared sides is 40\ \text{inches}.

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Solve the system of equations.
notka56 [123]

Answer:

A

Step-by-step explanation:

replace y with 5 giving you 5 = x^2 - 4 then solve giving you x^2 = 9 and then square the 9 giving you x = 3

5 0
3 years ago
Y varies inversely as x, and y = 50 when x = 10. What is the value ofy when x = 20?<br> 100
Mrrafil [7]

Answer:

25

Step-by-step explanation:

Since y varies inversely with x, the relation between y and x will be:

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Introducing the proportionality constant, we can write:

y = \frac{k}{x}

Using the first set of given values of x and y, we get:

50=\frac{k}{10}\\\\k = 500

This means, the relation between y and x is:

y = \frac{500}{x}

We have to find y if x = 20. Using this value in above equation, we get:

y=\frac{500}{20} \\\\ y = 25

Thus y would be 25 if x is 20.

8 0
3 years ago
Which is the equation of the given line in slope-intercept form? y= -1/4 x +1 y= -4x+1 y=4x-1 y=4x=+1
sergejj [24]

Answer:

y = -4x + 1

Step-by-step explanation:

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8 0
3 years ago
13 divided by 1209 please help
loris [4]
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5 0
2 years ago
3 + 2x = y Given x = 4 y =
wel

Answer:

y = 11

Step-by-step explanation:

Plug 4 in for x.

3 + 2(4) = y

Multiply.

3 + 8 = y

Simplify.

11 = y

7 0
3 years ago
Read 2 more answers
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