Which of the following could be points on the unit circle?
1 answer:
Answer:
see below
Step-by-step explanation:
For a point to be on the unit circle, the sum of the squares of the point's coordinates must be 1. Each value that is a fraction will have a square that is smaller than it is.
A: the given values add to 1; the sum of their squares cannot be 1.
B: a correct choice
C: one of the given values is more than 1, so the point cannot be on the unit circle
D: a correct choice
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Part A:
Derrick is incorrect.
A yard is equivalent to 3 feet.
Thus, 20 yards will be equivalent to 60 feet.
The width is 20 yard and 2 feet. It's the same as 60 feet and 2 feet, or 62 feet. Thus, Derrick is incorrect.
Part B:
Let's calculate the area of the parking lot.
We know the width is 62 feet from part A.
The length is 30 yards, or 90 feet.
Multiply the length and width to get the area in square feet.
The parking lot has an area of 5580 square foot.
It costs 2 dollars per square foot to repave the parking lot. Multiply the area by 2 dollars.
It will cost $11,160 to repave the whole parking lot.
Derrick is incorrect.
A yard is equivalent to 3 feet.
Thus, 20 yards will be equivalent to 60 feet.
The width is 20 yard and 2 feet. It's the same as 60 feet and 2 feet, or 62 feet. Thus, Derrick is incorrect.
Part B:
Let's calculate the area of the parking lot.
We know the width is 62 feet from part A.
The length is 30 yards, or 90 feet.
Multiply the length and width to get the area in square feet.
The parking lot has an area of 5580 square foot.
It costs 2 dollars per square foot to repave the parking lot. Multiply the area by 2 dollars.
It will cost $11,160 to repave the whole parking lot.