A.) equal
B.) 10.4
C.) 6.549
D.) 30.778
Answer:
Hello,
Step-by-step explanation:
Part A: see picture
Part B: see picture
Part C:
You must remenber :
![\displaystyle \sum_{i=1}^{n} i= \dfrac{n*(n+1)}{2} \\\\\displaystyle \sum_{i=1}^{n} i^2= \dfrac{n*(n+1)(2n+1)}{6} \\\\\\\int\limits^{20}_0 {(20\ x-x^2)} \, dx =[\dfrac{20\ x^2}{2} -\dfrac{x^3}{3} ]^{20}_0=\dfrac{20^3}{3} =1333.\overline{3}\\\\\\](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Csum_%7Bi%3D1%7D%5E%7Bn%7D%20i%3D%20%5Cdfrac%7Bn%2A%28n%2B1%29%7D%7B2%7D%20%5C%5C%5C%5C%5Cdisplaystyle%20%5Csum_%7Bi%3D1%7D%5E%7Bn%7D%20i%5E2%3D%20%5Cdfrac%7Bn%2A%28n%2B1%29%282n%2B1%29%7D%7B6%7D%20%5C%5C%5C%5C%5C%5C%5Cint%5Climits%5E%7B20%7D_0%20%7B%2820%5C%20x-x%5E2%29%7D%20%5C%2C%20dx%20%3D%5B%5Cdfrac%7B20%5C%20x%5E2%7D%7B2%7D%20-%5Cdfrac%7Bx%5E3%7D%7B3%7D%20%5D%5E%7B20%7D_0%3D%5Cdfrac%7B20%5E3%7D%7B3%7D%20%3D1333.%5Coverline%7B3%7D%5C%5C%5C%5C%5C%5C)
We divide the intervalle in n equal parts:
Answer:
Circumference of circle = (15.5)π cm
Step-by-step explanation:
Missing information:
Area of circle = 60π cm²
Find:
Circumference of circle
Computation:
Area of circle = πr²
Area of given circle = π(Radius of circle)²
60π = πr²
60 = r²
Radius of circle = 7.75 cm (Approx)
Circumference of circle = 2πr
Circumference of circle = 2(π)(7.75)
Circumference of circle = (15.5)π cm
Answer:
r≈1.02
Step-by-step explanation:
Answer:
58.5 pounds each.
Step-by-step explanation:
If two bookcases weigh 117 pounds and each weighs the same amount, each bookcase must weigh half of the total weight. 117/2 equals 58.5.
