Answer:
1. x > 20
3. r > 4
5. x > 10
7. r < 8
11. x > 27
13. x < 40
(#7-13 had the greater than and less than symbol underlined)
<span>complementary </span>∡ BFC + ∡ CFD = 90 °
<h3>Given:</h3>
<h3>Volume of the hemisphere:</h3>



<h3>Volume of the cylinder:</h3>



<h3>Total volume:</h3>


<u>Hence</u><u>,</u><u> </u><u>the</u><u> </u><u>volume</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>given</u><u> </u><u>compound</u><u> </u><u>shape</u><u> </u><u>is</u><u> </u><u>35.34</u><u> </u><u>cubic</u><u> </u><u>centimeters</u><u>.</u>
Which problem are you stuck on?
Answer:
The equation of the line in Point-Slope Form will be:

Also, check the attached graph below.
Step-by-step explanation:
Given the points
Determining the slope between the points C (2.-1) and D (1, 1).
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [1 - (-1)] / [1 - 2]
= [1+1] / [-1]
= [2] / [-1]
= -2
Thus, the slope of the line = m = -2
The point-slope form of the line equation is defined as
where
- m is the slope of the line
In our case:
substituting the values m = -2 and the point (x₁, y₁) = (2, -1) in the point-slope form of the line equation



Therefore, the equation of the line in Point-Slope Form will be:

Also, check the attached graph below.