Answer:
12.4 cm
Step-by-step explanation:
Use the sphere volume formula, V = 
r³
Plug in the volume and solve for r, the radius:
V = r³
7961 = r³
1900.55 = r³
12.39 = r
So, the radius of the sphere is approximately 12.4 cm
Answer:
Yes.
Step-by-step explanation:
I had this same question.
Answer:
a = 6/5
b = 7/8
c = 1/5
Step-by-step explanation:
We want to make two of these equations be in terms of the same variable, so let's solve the first and third in terms of b.
5a-24b=-15 -> -3 + 24b/5 = a
48b+35c = 49 -> 49/35 - 48b/35 = 7/5 - 48b/35 = c
Now we can replace the a and c in the second equation and solve for b.
10a+45c=21
10(-3+24b/5)+45(7/5 - 48b/35) = 21
-30 + 48b + 63 - 432b/7 = 21 -> -12 = -96b/7 -> b=7/8
Now we can plug b back into the other two to solve for a and c. I will leave that to you unless you would like the steps there.
Answer:
1944x^2.
Step-by-step explanation:
sqrt 2x^2 * sqrt18^5
= sqrt2x^2 * (sqrt(9^5*2^5))
= sqrt 2 x^2 * (sqrt9^5 * sqrt 2^5)
= sqrt2 x^2 * (243* sqrt2^5)
= 2^0.5 (243 * 2^2.5) x^2
= 2^3 * 243 x^2
= 1944x^2.
Answer:
13. x=6, Q=31, R=118, S=31
14. x=15, KL=95, LM=68, KM=68
15. x=3, XY=18, YZ=18, XZ=7
Step-by-step explanation:
I hope this helps,
