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silas99
21.10.2020 •
Mathematics
The state of Tennessee is shaped like a parallelogram. Its approximate dimensions are a base of 440 miles and a height of 120 miles. The state of Colorado is shaped like a rectangle, with approximate dimensions of 385 miles long and 275 miles wide. Ted works for a geographical company that is working on finding the areas of each state in the Union. Ted asked an assistant to double‐check his answers. Approximate area of Tennessee: 63,000 mi2 Approximate area of Colorado: 106, 000 mi2 11. If you were Ted’s assistant, would you agree with his answers? Explain why you answered yes or no by showing your work and explaining how it helped you come to your answer.
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Ответ:
Tennessee area we don´t know there is something wrong
Colorado area is ok close to 106000 mi²
Step-by-step explanation:
Tennessee is shaped like a parallelogram base is equal to 440 miles and the height is 120 miles. Therefore
Ap = b*h = 440 * 120 = 52800 mi²
But the area of Tennessee is 63000 mi²
Then there is something wrong because difference in mi² is
10400 mi²
10400/ 63000 = 0,165 % faraway of the real number
In the case of Colorado
Ac = 385 * 275
Ac = 105875 mi² pretty close to 106000 mi²
Then from double check in the areas, we conclude in a high difference in the figures for the state of Tennessee ( one or both of the figures are incorrect ). The state of Colorado area is oK
Ответ:
Option B
Step-by-step explanation:
Formula to be used to calculate the length of an arc,
Length of arc =![\frac{\theta}{360}(2\pi r)](/tpl/images/1232/1768/44e15.png)
Here, θ = Angle subtended at the center by the arc
r = radius of the circle
By substituting values in the formula,
s =![\frac{150}{360}(2\pi )(42)](/tpl/images/1232/1768/e909a.png)
Therefore, Option B will be the answer.