Answer:
y = - x - 2
Step-by-step explanation:
y=mx+b
m refers to slope
b refers to y intercept
y = (-1)x + (-2)
y = - x - 2
So then we do
large-small
V=(1/3)hpir^2
given
small=r=3 and h=5
V=(1/3)5pi3^2
V=5pi3
V=15pi
large, r=5, h=12
V=(1/3)5pi12^2
V=5pi48
V=240pi
large-small=240pi-15pi=225pi in^3
aprox 706.8582 in^3
Answer:
The dimensions are 5 m by 20 m.
Step-by-step explanation:
The area = length * width = 100 m^2.
2 times the width + the length = 30 m.
So we have the equations:
wL = 100
2w + L = 30
From the first equation:
L = 100/w so substituting in the second equation, we have:
2w + 100/w = 30
Multiply through by w:
2w^2 + 100 = 30w
2w^2 - 30w + 100 = 0 Divide by 2:
w^2 - 15w + 50 = 0
(w - 5)(w - 10) =
w = 5 or 10m.
So L = 100/5 or 100/10
= 20 or 10.
As it is rectangular then w = 5 and L = 20.
Answer:
arc AE = 125 deg
Step-by-step explanation:
As the property of angle at the center O of a circle:
angle AOE = arc AE
=> arc AE = 125 deg
Hope this helps!
Answer:
x = 26 , y = 33
Step-by-step explanation:
3x + 2y = 144 (1)
2x + 5y = 217 (2)
3x + 2y = 144
(divide the equation by 3)
x + (2/3)y = 48
x = 48 - (2/3)y
Plug into (2)
2[48 - (2/3)y] + 5y = 217
96 - (4/3)y + 5y = 217
11y/3 = 217 - 96
11y/3 = 121
y = 121×3/11
y = 33
x = 48 - (2/3)y
x = 48 - (2/3)(33)
x = 48 - 22
x = 26
