A point on a wheel moves at 32π/9 radians per minute. How many seconds are required for the point to complete 7 revolutions?
1 answer:
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Answer:
(x - 3)² + (y + 9)² = 25
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
Given area = 25π , that is
πr² = 25π ( divide both sides by π )
r² = 25 ( take the square root of both sides )
r = = 5
With centre (h, k) = (3, - 9 ) and r = 5 , then
(x - 3)² + (y - (- 9) )² = 5² , that is
(x - 3)² + (y + 9)² = 25
Answer:
If there are 3 cats in the room, what is the ratio of ears to paws? 1 : 2
If there are 4 cats in the room, what is the ratio of paws to ears? 2 : 1
If all 5 cats are in the room, how many more paws are there than ears? the number of paws is twice as more than the number of ears, we have 10 more paws than ears.
Step-by-step explanation:
You can see the double number line for this situation in the attached photo.
So as we can see in the double number line diagram, if there are 3 cats in the room we would have an ears to paws ratio of 6 : 12 , which simplified would be 1 : 2, meaning that for every ear there are 2 paws.
For the next question, if there are 4 cats in the room, the paws to ears ratio would be 16 : 8, simplified to 2 : 1, meaning that for every 2 paws there is 1 ear.
And for the last question, if all 5 cats are in the room, we have that the paws to ears ratio is 20 : 10, simplified again to 2 : 1, meaning the number of paws is twice as more than the number of ears, so in this case we have 10 more paws than ears.
