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Marta_Voda [28]
3 years ago
8

A straight road rises at an inclination of 0.3 radian from horizontal. Find the slope and change in elevation over a one mile se

ction of the road.
Mathematics
1 answer:
zimovet [89]3 years ago
3 0

Answer:

As per the given statement: A straight road rises at an inclination of 0.3 radian from horizontal.

⇒Inclination\theta = 0.3 \text{radian}.

The slope is given by:

m =\tan \theta

Substitute the given value we have;

m = \tan (0.3)

m = 0.30933624961

Let Δx represents the change in horizontal distance and  Δy represents the change in vertical distance.

Slope is also defined as the change in vertical distance to the change in horizontal distance.

i.,e  m = \frac{\triangle y}{\triangle x}                     .....[1]

It is given that change in elevation over a one mile section of the road

⇒Δx = 1

Substitute the  value of Δx = 1 and m = 0.30933624961  in [1] we have;

0.30933624961 = \frac{\triangle y}{1}

or

\triangle y = 0.30933624961 mile.

Therefor, the slope is, 0.30933624961 and change in elevation over a one mile section of the road is, 0.30933624961 mile





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Answer:

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Step-by-step explanation:

Im gonna guess that you mean (22-16)(2x+49)=0

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However, if you meant (22-16)(x^2+49)=0

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7 weeks

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b​=95+(10+9​)w

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220-95 = 19w

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Two students solved the same multi-step equation. Which student is correct? Explain the error. Student A Student B 2x - 4(3x + 6
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Answer:

Student B is correct

Student A failed to distribute -4 and -6 when opening the brackets in the first step

Step-by-step explanation:

The solution Student A gave was:

2x - 4(3x + 6) = -6(2x + 1) - 4

2x - 12x + 6 = -12x + 1 - 4

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The solution Student B gave was:

2x - 4(3x + 6) = -6(2x + 1) - 4

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Explanation of the error:

Student A failed to distribute -4 and -6 when opening the brackets in the first step.

That is,

2x - 4(3x + 6) = -6(2x + 1) - 4

To open this bracket, we will distribute, -4 and -6 so that we get

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Collecting like terms

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∴ 2x = 14

x = 14 / 2

Hence,

x = 7

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3 years ago
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