Answer:
A.) The sum of the product of the number of terms and the number of terms plus one.
Step-by-step explanation:
So, we have the sum of the first 22 positive even numbers:
S = 2 + 4+ 6 + ... + 44
We know the sum of such sequence is given by the (sum of the first number (2) and the last number (44)) multiplied by the number of terms (11).
S = (2 + 44) * 11 = 46 * 11 = 506
Answer A tells us it should be the sum of the number of terms (22) by the number of terms plus one (22 + 1 = 23).
S = 22 * 23 = 506
That's confirmed.
Answer B would give 22 * 21 = 462, so it's not right
Answer C would give 22 * 2 = 44, obviously not right
Answer D would give 22 * 22 = 484, close but not right.
Given:
Cylindrical tank volume : 14,130 in³
smaller cylinder : 25 pcs
radius of small cylinders: 3 inches.
Volume of a cylinder = π r² h
14,130 in³ ÷ 25 pcs = 565.20 in³ volume per small cylinder.
565.20 in³ = 3.14 * (3in)² * h
565.20 in³ = 3.14 * 9in² * h
565.20 in³ = 28.26 in² * h
565.20 in³ ÷ 28.26 in² = h
20 in = h
The height of the small cylinder is 20 inches.
the lines are perpendicular because they're crossing each other
Answer:
d = 3 c= 1/4
Step-by-step explanation:
Eq. 1) -4c + 5d = 14
Eq. 2) -4c + 3d = 8 ( the written Eq. says 40 but I am guessing it's 4c )
subtract Eq. 1 and Eq. 2
2d=6
d=3
plug 3 in for d in Eq. 1
-4c + 5(3) = 14
-4c + 15 = 14
-4c = -1
c = 1/4
Well there is 13 possibilities so it would be 10/13
