Answer:
20. 
22. 
24. 
Step-by-step explanation:
20. 
The GCF is x, so you group it out of the equation first.
Then, you find 2 numbers that will equal to 2 when you add them and will equal to -48 when you multiply them.
The two numbers would be -6 and 8. You then differentiate the squares.
22. 
The GCF is 2, so you must group it out.
Find the two numbers that will equal to 5 when you add them and will equal to 4 when you multiply them.
The two numbers would be 1 and 4. Finally, differentiate the squares.
24. 
The GCF is 5m, so you must group it out.
Find the two numbers that will equal to 6 when you add them and will equal to -7 when you multiply them.
The two numbers would be -1 and 7. Finally, differentiate the squares.
Answer:
m∡1 + m∡2 = 180
Step-by-step explanation:
m∡1 + m∡2 = 180
This is because supplementary means they add up to 180°.
Answer:
169.04 in² (nearest hundredth)
Step-by-step explanation:
Surface area of a cone = 
r² + r
(where r = radius of the base and = slant height)
Given slant height = 10 and surface area = 188.5
Surface area = r² + r
188.5 = r² + 10r
r² + 10r - 188.5 = 0
r = 
= 4.219621117...
Volume of a cone = (1/3)r²h
(where r = radius of the base and h = height)
We need to find an expression for h in terms of using Pythagoras' Theorem a² + b² = c², where a = radius, b = height and c = slant height
r² + h² = ²
h² = ² - r²
h = √(² - r²)
Therefore, substituting found expression for h:
volume of a cone = (1/3)r²√(² - r²)
Given slant height = 10 and r = 4.219621117...
volume = 169.0431969... = 169.04 in² (nearest hundredth)
Sorry if my handwriting sloppy.
I showed all of it step by step.
Answer:
-6
Step-by-step explanation:
