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)
Answer:
G = 0.75s
Step-by-step explanation:
First find the unit rate: How many gallons of water can be pumped in 1 second. This means you just have to divide by however many seconds it is being pumped. I'm using 12 and 9. 9/12 = 0.75. This means that in 1 second 0.75 or 3/4 of a gallon will be pumped. Therefore:
G = 0.75s
Answer:
x = 69
Step-by-step explanation:
csc = sin = cos = lim = inf(1)
We can see that a and b are parallel, and c and e are parallel, so the correct option is E.
<h3>
Which line must be parallel?</h3>
On the diagram, we can see that the angles in the third quadrant of the intersections between a and c, and the intersections between b and c, are the same angle.
Then, lines a and b must be parallel.
For the intersections with line d, we can see that this time the angle is on the fourth quadrant, so c and d are not parallel.
Finally, for line e, we can see that the known angle is on the first quadrant.
Notice that the angle on the first quadrant will be equal to the angle on the third quadrant.
So for the intersections of a and e, and b and e, on the third quadrant we have the known angle (the same one as in the intersections of a and c, and a and b).
Then c and e are parallel.
Then A and C are true.
Thus, the correct option is E.
If you want to learn more about parallel lines:
brainly.com/question/24607467
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