Since the side which measures 10 is a vertical projection of the hipotenuse x on a 20 degree angle:
10 = x*sin(20°)
x = 29.238044
Since we have to round to the nearest hundreth:
x = 29.24 m
The two lines are perpendicular because both of the lines intersects
Hey there!
The formula for the volume of a cylinder is
, which is essentially the base multiplied by the height.
If our diameter is six, then our radius is three, so we can solve for our base below. We will use 3.14 for pi.

Now, we multiply this by our height of four.

Therefore, our volume is 113.04 cubic units.
I hope this helps!
Answer:
67.5°
Step-by-step explanation:
180 -45 = 135
135 / 2
k= 67.5
Answer:

Step-by-step explanation:
Hi there!
We are given the points (2, 7) and (-6, -2). We want to find the distance between them. To do that, we can use the distance formula
The distance formula is given as
, where
and
are points
We have 2 points, which is what we need to find the distance, but let's label their values to avoid any confusion

Now substitute those values into the formula:


Simplify the values under the radical:

Raise to the second power:

Add the numbers under the radical together

The answer can be left as that, as the radical cannot be simplified.
Hope this helps!