<span>To find the answer we need to find the raduis
Circumference = 2πr
r=</span>
r=
= 104.08
The diameter is 2r, hence the diameter is 208.16
If the rate to cross is 6ft. per second, time can be found by dividing the raduis by 6
It would take 34.7 seconds
Answer:
8.2 *10^5 ft lb
Step-by-step explanation:
Wcoal = 800*500 = 400000 = 4*10^5 ft lb
Using a right Riemann sum
The width of the entire region to be estimated = 400 - 0 = 400
Considering 8 equal subdivisions, then the width of each rectangular division is 400/8 = 50
F(x) = 6(400-y)
![\left[\begin{array}{cccccccccc}x&0&50&100&150&200&250&300&350 &400\\f(x)&2400&2100&1800&1500&1200&900&600&300&0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccccccccc%7Dx%260%2650%26100%26150%26200%26250%26300%26350%20%26400%5C%5Cf%28x%29%262400%262100%261800%261500%261200%26900%26600%26300%260%5Cend%7Barray%7D%5Cright%5D)
Wrope = 50(2100) + 50(1800) + 50(1500) + 50(1200) + 50(900) + 50(600)
+ 50(300) + 50(0) = 420000 = 4.2 * 10^5 ft lb
Note: Riemann sum is an approximation, so may not give a accurate value
work done = Wcoal + Wrope= 4*10^5+ 4.2 * 10^5 = 8.2 *10^5 ft lb
(8•40) + (8•5) = 320 + 40 = 360
Answer:
(w + 11)(w + 7)
Step-by-step explanation:
Consider the factors of the constant term ( + 77) which sum to give the coefficient of the w- term ( + 18)
The factors are + 11 and + 7, since
11 × 7 = 77 and + 11 + 7 = + 18
w² + 18w + 77 = (w + 11)(w + 7)
Since there are 6 factors of 52 (1, 2, 4, 13, 26, 52), the answer is 6
