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butalik [34]
3 years ago
10

As you are walking down a path, you see a sign telling the path has a 2% grade (ie., a rise of 2 metres for a horizontal change

of 100m). Which of the following expressions will calculate the angle between the path and horizontal?

Mathematics
1 answer:
Leni [432]3 years ago
5 0

Answer:

Option (A)

Step-by-step explanation:

It has been given in this question that sign telling path has a 2% grade.

2% grade means a rise of 2 meters for a horizontal change of 100 m (As given in the figure attached).

All the trigonometric ratios for the angle θ between the path and the horizontal are,

Sinθ = \frac{\text{Opposite side}}{\text{Hypotenuse}}

Cosθ = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

tanθ = \frac{\text{Opposite side}}{\text{Adjacent side}}

Since measures of the opposite side and adjacent sides are given

Therefore, tangent ratio will be applied to get the measure of the angle,

tanθ = \frac{2}{100}

θ = \text{tan}^{-1}(\frac{2}{100})

Option (A) will be the answer.

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8 0
2 years ago
to build the garden of your dreams you need 11 m^3 of coil containing 46% clay. you have two types of soil you can combine to ac
aivan3 [116]

Answer: 9m^3 of soil with 50% clay and 2m^3 of soil with 28% clay is required

Step-by-step explanation:

Let x represent the quantity of the soil containing 50% clay that you would use.

Let y represent the quantity of the soil containing 28% clay that you would use.

To build the garden of your dreams you need 11 m^3 of soil.

x + y = 11 - - - - - - - - -1

Since the soil must contain 46% clay, the total amount of clay required is 46/100 × 11 = 5.06 m^3.

you have two types of soil you can combine to achieve this: soil with 50% clay and soil with 28% clay. This means that the quantity of both soils required to achieve 5.06 m^3 will be

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Substituting x = 11 - y into equation 1, it becomes

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5.5 - 0.5y + 0.28y = 5.06

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7 0
3 years ago
What is the gcf of 96 and 40
Naddika [18.5K]

Answer:

8

Step-by-step explanation:

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5 0
2 years ago
Help needed thanks it greatly appretiated
Ivan

c is the correct answer of this question

5 0
2 years ago
Read 2 more answers
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