Answer:
The radius of the sphere is 7m
Step-by-step explanation:
Given
Volume of a sphere = 1372π/3 m³
Required
The radius.
The volume of a sphere is calculated using the following formula.
V = 4/3 πr³
Where V = volume of the sphere and r represents it's radius.
By substitution;
1372π/3 = 4/3 πr³
Multiply both sides by 3
1372π = 4πr³
Divide through by 4
343π = πr³
Divide through by π
343 = r³
Take cube root of both sides.
r = 7.
Hence, the radius of the sphere is 7m
Answer:
a) 15.52ft
b) 0.47 secs
Step-by-step explanation:
h = -16t^2 + 15t + 12
The maximum height is reached after -b/2a seconds
a = -16 , b = 15, c= 12
-b/2a = -15/2(-16)
= -15/-32
= 0.47 secs
The maximum height = -16(0.47)^2 + 15(0.47) + 12
= -3.5344 + 7.05 + 12
= 15.5156
= 15.52ft
To solve this problem you must apply the proccedure shown below:
1. The problem gives you the following information:
- The circle O has a diameter QS.
- The measure of RSQ is 310 degrees (m∠RSQ=310°).
2. Then, you have that the measure of ∠ROQ is:
∠ROQ=360°-m∠RSQ
∠ROQ=360°-310°
∠ROQ=50°
3. Therefore, as you can see, the answer is: ∠ROQ=50°
Answer:
holy C-rap
Step-by-step explanation:
Answer:
y ≥ |5 - x| + 1.
Step-by-step explanation:
The V shape indicates it is an absolute value function. It also looks like its based on y = 5 - x.
The equation of the line is y = |5 - x| + 1.
As the shading is above the line the inequality is y ≥ |5 - x| + 1.