Step-by-step explanation:
fill in the missing fraction parts
Answer:
113.04 cm³
Step-by-step explanation:
diameter = 6cm
so radius = 3cm
Volume of sphere = 

= 4 * 3.14 * 3 * 3 *3 / 3
= 4 * 28.26
= 113.04 cm³
Answer:
Multiply equation
by 5 and
by 4
Step-by-step explanation:
Given:
Equations are 
To find: constant by which each equation should be multiplied to eliminate the variable
in the given system of equations
Solution:

Multiply equation (i) by 5 and (ii) by 4 to get the following equations:

On subtracting these equations, we get

So, the variable
gets eliminated
Why would we need 3.14 as pi? The answer is 45/10 = 4.5 inches.
Answer:
4Hz
Step-by-step explanation:
Standard form of a sine or cosine function,
y = acos(b(x+c))
where a is the amplitude, b is the value to find the period. and c is the phase shift.
Period = \frac{2\pi}{b}
From the equation given in the question,

We can see:
Amplitude = 3,
Period = \frac{2\pi}{8\pi} = 1 / 4
Phase Shift = 1 / 16
Now we want to find the frequency.
Frequency = 1 / Period
= 1 / (1/4)
= 4Hz