Answer:
37.2
Step-by-step explanation:
when you turn the small triangle LMN to its right angle to cover the right angle of KLM, you find that they are similar triangles.
therefore the corresponding side lengths are at the same ratio.
LM/KM = MN/LN
LM = 24
MN = 13
we can get LN via Pythagoras of the small triangle
LN² + MN² = LM²
LN² + 13² = 24²
LN² = 24² - 13² = 576 - 169 = 407
LN = sqrt(407) = 20.174241
now back to our main problem
24/KM = 13/sqrt(407)
24×sqrt(407)/13 = KM = 37.2
<h2>
Answer:</h2>

<h2>
Step-by-step explanation:</h2>
In this problem we have two vectors:

So we need to find two things:

and:

FIRST:
In this case we have the multiplication of vectors by scalars. A scalar is a simple number, so:

SECOND:
If we name:

Then,
is the magnitude of the vector
. Therefore:

Answer:

Step-by-step explanation:
Let h be the cylinders height and r the radius.
-The volume of a cylinder is calculated as:

-Since the cone is within the cylinder, it has the same radius as the cylinder.
-Let
be the height of the cone.
-The area of a cone is calculated as;

The volume of the solid section of the cylinder is calculated by subtracting the cone's volume from the cylinders:

Hence, the approximate area of the solid portion is 
What’s the equation given ?
Answer:
About 527.79
Step-by-step explanation:
formula is A=2πrh+2πr^2