Answer:
A) 60 Degrees
B) 550 Feet
C) 2.5 minutes
Step-by-step explanation:
a) So the wheel has completed one revolution in 10 minutes so lets first divide 100 secs with 10 minutes to calculate the the fraction of revolution
1 min = 60 secs
10 min = 600 secs
100/600 = 1/6
One complete revolution is 360 degrees and 1/6 of 360 degrees will be 60 degrees .
360/6 = 60°
b) It takes 10 minutes to complete one revolution so if the person is on it for 7 minutes it would be 7/10 of a revolution . The ferris wheel has a diameter of 250 feet so the radius will be 125 feet because it is the half of the diameter and the circumference will be 250 π . To calculate the distance lets multiple the fraction of the revolution which is 7/10 into the circumference
= 550 Feet.
C)It took 10 minutes to travel 250 π now we will use this relation to calculate 200 feet . lets suppose t is for time .
.
After solving this equation as there is only one unknown which is "<em>t</em> "the answer will be 2.5 minutes.
Answer:
27
Step-by-step explanation:
the sequence is 4 added to each number. 4 added to 23 is 27
Since
, we can rewrite the integral as

Now there is no ambiguity about the definition of f(t), because in each integral we are integrating a single part of its piecewise definition:

Both integrals are quite immediate: you only need to use the power rule

to get
![\displaystyle \int_0^11-3t^2\;dt = \left[t-t^3\right]_0^1,\quad \int_1^4 2t\; dt = \left[t^2\right]_1^4](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cint_0%5E11-3t%5E2%5C%3Bdt%20%3D%20%5Cleft%5Bt-t%5E3%5Cright%5D_0%5E1%2C%5Cquad%20%5Cint_1%5E4%202t%5C%3B%20dt%20%3D%20%5Cleft%5Bt%5E2%5Cright%5D_1%5E4)
Now we only need to evaluate the antiderivatives:
![\left[t-t^3\right]_0^1 = 1-1^3=0,\quad \left[t^2\right]_1^4 = 4^2-1^2=15](https://tex.z-dn.net/?f=%5Cleft%5Bt-t%5E3%5Cright%5D_0%5E1%20%3D%201-1%5E3%3D0%2C%5Cquad%20%5Cleft%5Bt%5E2%5Cright%5D_1%5E4%20%3D%204%5E2-1%5E2%3D15)
So, the final answer is 15.
Answer:
On Tuesday
3/4 + 3/4 = 3/2 = 1 1/2 = 1.5
On Wednesday
2/4 + 1 1/4 = 7/4 = 1 3/4 = 1.75
Then we subtract
1.75 - 1.5 = 0.25