take father's age as x
if it is doubled i.e 2x .we get the answer as 20 less than 100 which means 100-20=80
accordingly the equation will be 2x=80
x=40
given that ,
son is 1/4 th of his father
hence ,
son = 1/4×(x)
I.e, 1/4×40 =10
Hope it helps
Answer:

Step-by-step explanation:
Adding 1 to 1x would make it 2x, but only on the numerator.
<h3>
Answer:</h3>
- left picture (bottom expression): -cot(x)
- right picture (top expression): tan(x)
<h3>
Step-by-step explanation:</h3>
A graphing calculator can show you a graph of each expression, which you can compare to the offered choices.
_____
You can make use of the relations ...
... sin(a)+sin(b) = 2sin((a+b)/2)cos((a-b)/2)
... cos(a)+cos(b) = 2cos((a+b)/2)cos((a-b)/2)
... cos(a)-cos(b) = -2sin((a+b)/2)sin((a-b)/2)
Then you have ...

and ...

Answer:
Part 1 - A
Answer: 301.592895 m^3
Step-by-step explanation:
The formula for the volume of a cone is calculated the formula:
<u>V = πr^2h/3 </u>
In the question, we are given the value of the radius and height in meters through which we can calculate the volume.
r = 6
h = 8
and we know the value of π to be 22/7, or 3.14285714286.
By substituting these values in the formula, we can solve for volume of the cone:
V = π (6)^2 8 / 3
Volume = 301.592895 m^3
Hope this helps!