Answer:
The radius is 6.1 cm
Step-by-step explanation:
The volume of a sphere is
V = 4/3 pi r^3
There is a typo in the problem.
We know the volume
950 = 4/3 (3.14) r^3
Multiply each side by 3/4
3/4 *950 = 3.14 r^3
712.5 = 3.14 r^3
Divide each side by 3.14
712.5/3.14 = r^3
226.910828 = r^3
Take the cube root of each side
226.910828 ^ (1/3) = r^3 ^ 1/3
6.099371323 = r
The radius is 6.1 cm
-(2y-8)-3(1+x)-7
-10y+40-3(1-x)-7
-10y+40-3-3x-7
-10y+30-3x
Answer:
2x+6=-8(x>=-7), 2x+3<9(x<3), 2x-4<=-8(x<=-2), -x-8>=-5(x<=-3), x+-4<=-3(x<=1)
Step-by-step explanation:
5*5+5=30
5*5-15=10
30/10= 3
Answer:
19.8 and 8/(sin(theta))+ 6/(cos(theta))
Step-by-step explanation:
If you make a table you can see that L_1 + L_2 gets larger as you increase theta prom pi/2 and decrease theta from pi/2. This means that pi/2 is the theta that will yield the smallest length for the ladder. Plugging this into L_1 + L_2 you get 19.8 (rounded to the nearest hundred)
C = 8/(sin(theta))+ 6/(cos(theta))