You need to calculate the height of the cone which would be OV, not VB
Using Pythagorean theorem:
OV = sqrt(37^2-12^2)
OV = 35
Now you have the height to solve everything.
This is a semi circle so volume and surface area would be 1/2 of a full cone.
A) v = 1/2 x pi x r^2 x h/3
V = 1/2 x pi x 12^2 x 35/3
V = 1/2 x pi x 144 x 35/3
V = 840pi
B) sa =1/2 x pi x r(r + sqrt(h^2+r^2))
Sa = 1/2 x pi x 12(12+ sqrt(35^2+12^2))
Sa= 923.63 round as needed.
C) volume of hemisphere with 4cm diameter:
2/3 x pi x 2^3 = 5.33pi
Divide volume of semi cone by volume of hemisphere:
840pi/5.33pi = 157.5
Answer:
<em>Best shot would be with vertical angles.</em>
It wouldn't be adjacent angles because the two angles don't have an overlapping side.
It also can't be complementary/supplementary angles because they don't add up to 90* or 180* degrees.
However, Angle CDL creates vertical angles with Angle FDE with Angles FDC and EDL.
Hope that helps.
0.1458333333333333... you get the idea :)
Answer:
300 SUVs were sold.
210 Passenger cars were sold.
Step-by-step explanation:
Let S denote the amount of SUVs sold and let P denote the amount of passenger cars sold.
The total amount of vehicles sold was 510, so:
90 more SUVs were sold than passenger cars. In other words:
We know have a system of equations. We can solve it buy substituting the second equation into the first. Thus:
Combine like terms:
Subtract 90 from both sides:
Divide both sides by 2:
So, the 210 passenger cars were sold.
This means that 210+90=300 SUVs were sold.
And we're done!