Answer:
y=2 x=5
Step-by-step explanation:
3x-2y=11
2x-3y=4
you multiply both equations to cancel one variable out. in this case you multiply the first equation by 2 and the second by -3
6x-4y=22
+ -6x-9y=12
--------------------------
0x+5y=10
y=2
you plug that in either equation
3x-2(2)=11
3x-4=11
3x=15
x=5
To find the surface area, use the formula for surface area of a cylinder:
S.A. = 2πrh + 2πr², where r is the radius and h is the height.
The radius and height are given as follows.
r = 5
h = 16
Plug these values into the formula and solve to find the S.A.
S.A. = 2πrh + 2πr²
S.A. = 2π(5)(16) + 2π(5)²
S.A. = 2π80 + 2π25
S.A. = 160π + 50π
S.A. = 210π
Since we are leaving our answer in terms of pi, we don't need to do anything more.
Answer:
S.A. = 210π cm²
Answer:
The total charge on the rectangle is 29.33C
Step-by-step explanation:
Given
σ(x, y) = 2xy + y²
For 2 ≤ x ≤ 4, 0 ≤ y ≤ 2
The total charge on the rectangle is calculated as follows.
Charge, q = ∫∫2xy + y² dydx {0,2}{2,4}
Integrate with respect to y
q = ∫xy² + ⅓y³ dydx {0,2}{2,4}
q = ∫(2²*x + ⅓*2³) dx {2,4}
q = ∫4x + 8/3 dx {2,4}
Integrate with respect to x
q = 2x² + 8x/3 {2,4}
q = (2(4)² + 8(4)/3) - (2(2)² + 8(2)/3)
q = 29.33C
Answer:
angle 1: 72.5°
angle 2: 107.5°
Step-by-step explanation:
x + y = 180
x - y = 35 ===> x = 35 + y
Substitution to find angle y:
x + y = 180
(35 + y) + y = 180
35 + 2y = 180
2y = 145
y = 72.5
Substitution to find angle x:
x = 35 + y
x = 35 + (72.5)
x = 107.5
He only made $10. Considering the horse was sold for $90.
