Answer:
508.68 in^2
Step-by-step explanation:
The equation given: 2πr^2+2πrh
Givens: r = 3 in, h = 3*8 in = 24 in, π ≈ 3.14
Substitution: 2(3.14)3^2+2(3.14)3*24
Solution: 508.68
Since we are already given with the formula to solve for the coordinates of point L, all we have to do is to perform the necessary operation in the item. The formula for the coordinates of the midpoint is, M = ((5 + 1) / 2 , (3 - 7) / 2)performing the operation, M = (3, -2)Thus, the coordinates of point L are (3,-2).
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Answer:
f(x)=4^x exponential growth, -6^x exponential decay Step-by-step explanation:
Answer:
184800 times
Step-by-step explanation:
The first step is to find out how many times the wheels turn in one foot. The ratio of rotations per minute is 20:140. This can be simplified to 1:7, meaning there is 1/7 of a rotation for every 1 foot.
Next, we need to find out how many times they turn in one mile. The ratio is 1:7, and the 1 needs to become 5280. To do this, multiply both sides of the ratio by 5280. You will get 5280:36960, meaning there is 36960 rotations every mile (the ratio of miles to rotations is 1:36960).
Now, multiply 1:36960 by 5 to get the amount of rotations per every 5 miles. You will get 184800.
Final answer: the wheels turn 184800 times in 5 miles.
An imaginary line would need to be drawn at any angle to the center of the side opposite the angle to reflect across an axis of symmetry so that a regular pentagon can carry onto itself.