Answer:
See below
Step-by-step explanation:
Here we need to prove that ,

Imagine a right angled triangle with one of its acute angle as
.
- The side opposite to this angle will be perpendicular .
- Also we know that ,


And by Pythagoras theorem ,

Where the symbols have their usual meaning.
Now , taking LHS ,

- Substituting the respective values,





Since LHS = RHS ,
Hence Proved !
I hope this helps.
Answer:
18.85 inches.
Step-by-step explanation:
We have been given that the radius of a smaller circle 3 inch. We are asked to find the circumference of smaller circle.
We know that circumference of a circle is equal to
, where r represents radius of circle.




Therefore, the circumference of smaller circle is approximately 18.85 inches.
Answer:

Step-by-step explanation:
-The volume of a cylinder is given by the formula:

#We make r the subject of the formula:

#We then substitute for the stated volume and solve for r:

Hence, the cylinder's radius is approximately 5.00 ft
Answer:
f(x) = –2x + 3
Step-by-step explanation: