This question is not even trying to test your arithmetic. It's just testing
to see whether you know how to read numbers in words properly.
When you read numbers in words, the only time you ever say "and"
is for a decimal point. There are no decimals in this question, so the
"and" is not a part of any numbers.
The question gives you two numbers. The word "and" is the marker
that's
BETWEEN them. The two numbers are 1,300 and 950 .
The first thing the question wants you to do is write the numerical
expression for all the words. That's (1300 - 950) / 4 .
The next thing you're supposed to do is"evaluate the expression" ...
find out what number it all boils down to. I don't think you'll have
any trouble with that now.
Answer:
Part A:
The surface area of a cylinder is given by
A= 6πr² if h= 2r
Part B:
Total Cost of covering the cylinder = Rate *2πrh + rate*2πr²
Cost of covering only the side = Rate *2πrh
Step-by-step explanation:
Part A:
The surface area of a cylinder is given by
A= 2πrh + 2πr²
Where h= height and radius = r
But we have the height twice as radius so h= 2r
So putting h= 2r we get
A= 2πr(2r) + 2πr²
A= 4πr² + 2πr²= 2πr²(2+1) = 2πr²(3)= 6πr²
Part B:
Cost = Rate * area of the wall + rate * area of the top and bottom
Cost = Rate *2πrh + rate*2πr²
Where area of the top and bottom= πr² +πr² =2 πr²
and area of the side = 2πrh
Multiplying both with the rate and then adding would give the total cost of materials needed to cover the outside of the cylinder and from top and bottom as well.
If you do not need to cover top and bottom then the expression would be
Cost of covering only the side = Rate *2πrh
Part C:
Already done above.
Answer:
Step-by-step explanation:
How do you know if side lengths form a Pythagorean triple?
Pythagorean triples may also help us to find the missing side of a right triangle faster. If two sides of a right triangle form part of a triple then we can know the value of the third side without having to calculate using the Pythagorean theorem. From the ratio, we know that it is a Pythagorean triple.