We have a right triangle with a 15m hypotenuse and a 8m leg. If we use x for the missing leg then the Pythagorean Theorem states that:

Then we have to solve that equation for x:
![\begin{gathered} x^2=15^2-8^2=225-64 \\ x^2=161 \\ x=\sqrt[]{161} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%5E2%3D15%5E2-8%5E2%3D225-64%20%5C%5C%20x%5E2%3D161%20%5C%5C%20x%3D%5Csqrt%5B%5D%7B161%7D%20%5Cend%7Bgathered%7D)
So the answer is the square root of 161.
Answer:
1000
Step-by-step explanation:
Volume of cylinder is 3 times of volume of cone having same base diameter and same height.
<u>Solution:</u>
Given that
A cylinder and A cone have the same diameter = 10 inches and same height = 12 inches
Need to find the relationship between volume of cylinder and cone.
Let’s calculate volume of each object separately first.
<em><u>Calculation of volume of cylinder :</u></em>
Formula of volume of cylinder is given as:

Where π=3.14

height h = 12 inches
On substituting given values in formula of cylinder we get

<em><u>Calculation of volume of cone:</u></em>
Formula of volume of cone is given as:

Here π=3.14

On substituting given values in formula of cone we get


On comparing the two volumes we get

Hence can conclude that Volume of cylinder is 3 times of volume of cone having same base diameter and same height.
Answer:
- 1 inch : 250 miles
- 1/15,840,000
Step-by-step explanation:
Map scale factors are usually written a couple of different ways. One of them is the number of miles represented by 1 inch. Here, that is ...
1750 mi/(7 in) = 250 mi/in
Written that way, the scale factor is 1 in : 250 miles.
__
The other way the scale factor can be written is as a unitless ratio. That ratio is ...

The map scale factor is 1 in : 250 miles, or 1/15,840,000.