Answer:
The correct option is B)
.
Step-by-step explanation:
Consider the provided information.
Angle A C B is 90 degrees and angle A B C is 35 degrees.
The required figure is shown below:
We need to find the value of c.
Use the trigonometric function: 


Hence, the correct option is B)
.
Answer:
The volume of the sphere is 1436 in³
The equation is
V = ⁴⁄₃ * 3.14 * (7ft)³
Step-by-step explanation:
radius = half of diameter
d = 14ft
r = 14ft / 2 = 7ft
To calculate the volume of a sphere we have to use the following formula:
V = volume
r = radius = 7ft
π = 3.14
V = ⁴⁄₃πr³
we replace with the known values
V = ⁴⁄₃ * 3.14 * (7ft)³
V = 4.187 * 343 in³
V = 1436 in³
The volume of the sphere is 1436 in³
Answer:


Step-by-step explanation:
Let's begin with the mass definition in terms of density.

Now, we know the limits of the integrals of x and y, and also know that ρ = ky², so we will have:

Let's solve this integral:



So the mass will be:

Now we need to find the x-coordinate of the center of mass.





Now we need to find the y-coordinate of the center of mass.








Therefore the center of mass is:

I hope it helps you!
Answer:
57
Step-by-step explanation:
Subtract one player from the total number, because one has to block.
19
Multiply this by the number of goalies there are.
19*3=57
There will be 57 kicks.
Answer:
see below
Step-by-step explanation:
12.5x − 10.2 = 3(2.5x + 4.2) - 6
Use the distributive property to distribute the 3
12.5x − 10.2 = 7.5x + 12.6 − 6
Combine like terms
12.5x − 10.2 = 7.5x + 6.6
Add 10.2 to each side of the equation by using the addition property of equality
12.5x = 7.5x + 16.8
Subtraction 7.5x from each side of the equation by using the subtraction property of equality
5x = 16.8
Divide by 5 on each side by using the division property of equality
x = 3.36