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Vladimir [108]
3 years ago
10

What percentage grade should a road have if the angle of elevation of the road is 6 degrees? (The percentage grade is defined as

the change in the altitude of the road over a 100-foot horizontal distance. For example a 5% grade means that the road rises 5 feet for every 100 feet of horizontal distance.)
Mathematics
1 answer:
Andreas93 [3]3 years ago
3 0

Answer:

  10.5%

Step-by-step explanation:

The tangent of the angle is the ratio of rise to run.

  tan(angle) = grade

  tan(6°) ≈ 0.105 = 10.5%

The grade will be 10.5% for an angle of elevation of 6°.

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Find the volume in cm^3 of a right circular cylinder with a radius of 10 cm and height of 14 cm
yawa3891 [41]

4398.22 cm³ the volume of cylinder.

What is volume of cylinder?

  • 'Volume' is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface.
  • The unit of volume is in cubic units such as m3, cm3, in3 etc.

Given,

          Height of cylinder = 14 cm

         radius of cylinder = 10 cm

Now using formula volume of the cylinder = π r² h

          put value in formula,

                                               3.14 × 10× 10 × 14 = 4398.22 cm³

Therefore, 4398.22 cm³ the volume of cylinder.

Learn more about volume brainly.com/question/12877039

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2 years ago
The two-way frequency table below shows data on student behavior and the use of positive phone calls home as an incentive for go
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Answer:

From the frequency table, let's calculate the row total.

Row total for phone call = 19 + 9 = 28

Row total for no phone call = 8 +6 = 14

To calculate their respective row relative frequencies, let's use:

Row relative freq = \frac{freq.}{Row total}

Now, the two-way frequency table will be computed as:

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Undesirable behaviour = \frac{9}{28} = 0.3214 ≈0.32

No phone call:

Desirable behaviour = \frac{8}{14} = 0.5714 ≈ 0.57

Undesirable behaviour = \frac{6}{14} = 0.4286 ≈ 0.43

The complete two-way table is attached.

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Step-by-step explanation:

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