Answer:
11.18 miles
Step-by-step explanation:
The sides of a right triangle a, b, c are related by the equation
a^2 + b^2 = c^2
where c is the longest side of the triangle
Hence given that A connects B and C directly and forms a right angle at A
5^2 + 10^2 = c^2
Where c is the length of the road
25 + 100 = c^2
125 = c^2
c = 125^1/2
= 11.18 miles
Answer:
44.65 inches
Step-by-step explanation:
Height of ramp = 16 inches
Length of ramp, l
Angle formed by ramp and ground = 21°
Using Pythagoras :
Sinθ = opposite / hypotenus
Sin21° = 16 / l
0.3583679 = 16 / l
0.3583679 * l = 16
l = 16 / 0.3583679
l = 44.646855 inches
Hence, length of ramp is 44.65 inches
Answer:
Option A 
Step-by-step explanation:
The volume of a cone is:

The volume of a cylinder is:

Both figures have the same height h and the same radius r.
The volume of the cylinder
We want to find the volume of the cone.
Then, we find r and h:

We simplify.

Then the product of
.
We substitute this in the cone formula and get:

Answer: 1/2
First you do 4/4 times 4/4. Which is equal to 1. Then, you multiply by 2/4 to get 1/2.
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