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)
The square root of 5 is 2
2. The three points you need to mark on this graph are (1,2) (2,3) and (4,5); you then draw a line through all of these points and determine whether the inches of rainfall is proportionate to the number of hours.
You mark those 3 points because at 1 hour, 2 inches of rain has fallen; at 2 hours, 3 inches of rain has fallen; and at 4 hours, 5 inches of rain has fallen
It’s A since 7/8 x (-16) is -14 then -14 x (-7) is 98 and 98 x (-1/14) is -98/14 which gets -7
Looking at the choices i believe you need a g in your question. If it is 4g+2
Then you factor out at 2 to get 2(2g+1) choice a
If it 4+2g then you also factor out a 2 but this time get 2(2+g) choice b
Depending on what the question actually is those would be the answers
