Answer:
V = 25,061.4 m³ or
V= 4032π [2(1 + √126) - √505] m³
Step-by-step explanation:
Given y = 2016 + x²
Since the body is rotated along the y axis, we need to find the limits along y-axis corresponding to x =0 and x=2, we do this by substituting the values of x to obtain the y-values
So at x = 0, y = 4√126
at x = 2, y = 2√505
But V = ∫ πx²dy..............
So making x the subject we have:
x²= (2016-y)
Therefore V = ∫π(2016-y)dy, at y = 4√126 and 2√505
V = π[2016y- y²]
V = π[[2016(4√126) -(4√126)²-[2016(2√505)-(2√505)²]]
V = 2016π[ [(4√126)(1-4√126)] - [2√505(1-2√505)] ]
V = 2×2016π[ [2√126(1 - 4√126)] - [√505(1 - 2√505)] ]
V= 4032π [ 2√126 - 1008 - √505 +1010]
V= 4032π [2√126 - √505 +2]
V= 4032π [2(1 + √126) - √505]
Or
V = 12672(1.9777)
V= 25061.4 m³
Answer: 12
Step-by-step explanation:
law of cosines states that f^2 = t^2 + p^2 - 2tp cos(F)
so f^2 = 5^2 + 7^2 - 2*5*7*cos(175)
f^2 = 74 - (-69.7336)
f^2 = 143.7336
f = 11.9889
which rounds to 12
Y=7
This line is parallel of x - axis .
For all of the values , y values is 7
Good Luck :)
Answer:
33/40
Step-by-step explanation:
1/5x8= 8/40
5/8x5=25/40
add them
reduce answer:
33/40
Left Side
if x = a number
five times a number means 5 · a number = 5 · x
add a negative sign; -5·x
simplify; you don't need the multiplication symbol; -5x
minus 2·x = -2x
plus 3 = +3
-5n-2x+3
Sign
less than or equal to = ≤
Right Side
triple of x = 3·x = 3x
4 minus triple of x = 4-3x
4-3x
The final inequality is -5x-2x+3 ≤ 4-3x
♡ Hope this helps! ♡
❀ 0ranges ❀