This problem basically already gives you X, you just have to simplify.
To complete this problem all you have to do is divide 11 by 9.6
11 / 9.6 = 1.15
So X = 1.15
Answer:
The diameter of the hemisphere is 20.4 centimeters.
Step-by-step explanation:
The volume of an hemisphere is given by:

In this problem, we have that:

So



![r = \sqrt[3]{\frac{3*2233}{2\pi}}](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7B3%2A2233%7D%7B2%5Cpi%7D%7D)

The radius is 10.2 centimeters.
The diameter is double the radius. So:
2*10.2 = 20.4
The diameter of the hemisphere is 20.4 centimeters.
Answer:
24 eight-digit code.
Step-by-step explanation:
Frequency : 0 : 4
2 : 2
4 : 2
In total there are Eight (8) numbers and 3 frequent number ( which are 0, 2, 4 )
∴ 8 × 3 = 24.
Answer: 5489
Step-by-step explanation:
Given the following :
Growth rate (r) = 19% per hour
Sample culture in population = 2300
Size of sample after 5 hours =?
Using the exponential relation:
P = Po * r^t
P = population after 5 hours
Po = Initial sample population
t = time
P = 2300 * (1 +19%)^t
P = 2300 ×(1 + 0.19) ^5
P = 2300 * 1.19^5
P = 2300 * 2.3863536599
P = 5488.61341777
P = 5489 (nearest integer)
Answer:
a = π n for n element Z
Step-by-step explanation:
Solve for a:
sec(a) + tan(a) = sec(a) - tan(a)
Subtract sec(a) - tan(a) from both sides:
2 tan(a) = 0
Divide both sides by 2:
tan(a) = 0
Take the inverse tangent of both sides:
Answer: a = π n for n element Z