The law of cosines is used for this purpose. It tells you
c² = a² + b² - 2ab×cos(C)
Solving for the angle C gives
C = arccos((a² + b² - c²)/(2ab))
C = arccos(( 17² + 15² - 19²)/(2×17×15))
C = arccos(153/510)
C ≈ 72.5424°
The measure of the angle opposite the longest side is about 73°.
Using the volume formula, we will see that the volume of the sphere is V = 381.51 cm^3
<h3>
How to get the volume of the sphere?</h3>
For a sphere of radius R, the volume is given by the formula:

In this case, we can see that the diameter is 9 cm, then the radius is half of that:
R = 9cm/2 = 4.5cm
Now that we know the radius, we can replace it on the volume formula to get:

If you want to learn more about spheres, you can read:
brainly.com/question/10171109
Answer:12.2%
Step-by-step explanation:
Her total paycheck minus her salary = the commission amount
So
6500 - 1000 = 5500
So....her commission as a percentage of sales = 5500/ 45000 = about 12.2%
Check the picture below.
bear in mind that, a perpendicular line stemming from the right-angle like so, creates three similar triangles, a
large one, containing the other two smaller ones, a
medium and a
small.
so.. .we can just use the medium and small proportions.
solve for "x".