All categories

4 years ago

A road has a 10% grade. 1. What is the angle of elevation of the road? 2. If the road is 2km long, how much does it rise?

1 answer:

3 0

1. m = rise/run
m = 10/100 = 0.1
tan α = 0.1
α = tan^(-1) 0.1
α = 5.71 °
2. 2 km = 2,000 m
x² + ( 0.1 x )² = 2,000²
x² + 0.01 x² = 4,000,000
1.01 x² = 4,000,000
x = 1,990 m
h = 1,990 m * 0.1
h = 199 m
The road rises 199 m.

You might be interested in

A carpenter needs 3 minutes to cut a board into 5 equal sections. If each cut takes the same length of time, at what rate is the

Alex17521 [72]

Answer:

3/180= 60 seconds = 1m/per cut or 60 sec/per cut.

Step-by-step explanation:

This is 3 cuts executed from a board to get 5 parts.

4 0

3 years ago

Read 2 more answers

Is the given ordered pair a solution to the equation y=2x+7;(-2,3)

kondaur [170]

2(-2) + 7
= -4+7
= 3
so when x = -2 y = 3
Yes
<span>given ordered pair is a solution to the equation </span>

6 0

3 years ago

True or false: the lateral surface of cone a is exactly 1/2 the lateral surface area of cylinder b

Mazyrski [523]

Answer:

True

Step-by-step explanation:

We have that,

The cone A has the length of the lateral side = h and the height of the cylinder B = h.

Since, the lateral surface areas are given by,

Lateral surface area of cone = $\pi r\times l$ , where l is the length of the lateral side.

So, we get $L_{A}$ = $\pi r\times h$ .

Also, Lateral surface area of cylinder is $2\pi r\times h$ , where h is the height of the cylinder.

So, we get $L_{B}$ = $2\pi r\times h$

Thus, we see that, $L_{A}=\frac{1}{2}\times L_{B}$

Hence, the given statement is correct.

6 0

3 years ago

Z +6 divided by 1/3 = 4

Allushta [10]

Hey there!!

z + 6 / 1/3 = 4

z + 6 = 4 × 1/3

z + 6 = 4/3

z = 4/3 - 6

z = 4 - 18 / 3

z = -14/3

Hope it helps!

7 0

3 years ago

A super train travels 1,500 miles in 12.5 hours. How many miles does it travel in one hour?

katen-ka-za [31]

Let's treat the speed in one hour as a variable.
We can say that 1500=12.5x
Divide by 12.5
1500/12.5 = x
x = 120
120 mph is your answer.

6 0

3 years ago