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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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Yuliya22 [10]

Answer:  I need help with this problem toooo. Does anyone know how to do it?

Step-by-step explanation:

6 0
2 years ago
The following scatter plot represents the height of a basketball in seconds during a free throw shot.
zavuch27 [327]

The function is not treated as linear because whenever we throw the thing in the air it traces the path of the parabola which is quadratic. Then the quadratic equation is y = -1.25x² + 7.35x + 3.2.

<h3>What is a quadratic equation?</h3>

It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.

The following scatter plot represents the height of a basketball in seconds during a free throw shot.

(a) A student chose to model the data with the function, y = 0.9286x + 9.0571 . Then the function is not treated as linear because whenever we throw the thing in the air it traces the path of the parabola which is quadratic.

(b) Write a function

We know that the quadratic equation is given as ax² + bx + c = y

This will pass through the points (1, 9.3), (2, 12.9), and (3, 14). Then we have

\rm a + b + c = 9.3  \ \ \  \ \ \ \ ...1\\\\4a + 2b + c = 12.9 \ \  \ ...2\\\\9a + 3b + c = 14 \  \ \ \ \ \ ...3

On solving the equations 1, 2, and 3. Then we have

a = -1.25, b = 7.35, and c = 3.2

Then the quadratic equation will be

y = -1.25x² + 7.35x + 3.2

More about the quadratic equation link is given below.

brainly.com/question/2263981

#SPJ1

4 0
2 years ago
A collection of numerical information, such as the scores on a test, is referred to as simple random sampling.True / False.
Nimfa-mama [501]

Answer:

False. See explanation below.

Step-by-step explanation:

False

A simple random sample "is a subset of a statistical population in which each member of the subset has an equal probability of being chosen"

In other words that means in order to apply a random sampling we need to ensure that we have the same probability of inclusion for every possible element of the population of interest.

And for this case a collection of any numerical information is not referred as random sampling since we don't know if these scores are representative of the population of interest.

And we don't know if this information is obtained using any sampling frame or sampling methodology.  

8 0
3 years ago
Point C does not lie on line xy. Can point C lie in the same plane as live xy? Explain
uysha [10]

The answer is yes.

A line and a point outside the line define a unique plane. In other words, there is a single plane that contains a line and a point outside the line. If you are given line XY and point C outside the line, there is a single plane containing both line XY and point C. Therefore, line XY and point C must lie in the same plane.

4 0
3 years ago
a mixture of 40 liters of paint is 25% red tint, 30% yellow tint and 45% water. 6 liters of yellow tint are added to the origina
irakobra [83]
40 liters.....30% is yellow tint
0.30(40) = 12 liters are yellow

if u add 6 liters....(12 + 6) = 18 liters are now yellow...and since u added 6 liters, ur total mixture is now 46 liters.
18/46 = 0.39 = 39% <===
5 0
3 years ago
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