For this case we have the following equation:
We apply distributive property on the left side of the equation, taking into account that:
So:
Subtracting 3m from both sides of the equation:
Equal signs are added and the same sign is placed:
We subtract 6 from both sides of the equation:
We divide between -4 to both sides of the equation:
Thus, the solution of the equation is
ANswer:
Given:
To find:
The .
Solution:
In circle B, is central angle and is inscribed angle from two points A and C.
According to central angle theorem, central angle is always twice of inscribed angle.
[Central angle theorem]
Divide both sides by 2.
Therefore, .
Volume of cone= 1/3 πr²*h
15²=10²+h²
h²=15²-10²=125
h=√125
Volume of cone= 1/3 *π*100*√125=π/3*(100*5√5)=500π√5/3
Volume of sphere=4/3*π*r³=4/3*π*1000=4000π/3
Volume of half sphere=(4000π/3)/2=2000π/3
All Volume=500π√5/3+2000π/3
She would run 15 km in an hour and a half and 25 km in 2 1/2 hours