Answer:
1) DC and DG
2) D
3) <GDE
4) acute
5) obtuse
Step-by-step explanation:
1) DC and DG
2) D
3) <GDE
4) acute
5) obtuse
Answer:
Step-by-step explanation:
(x₁, y₁) = (-10, -10) & (x₂, y₂) = (-5, -10)
y-intercept = b = -10
There is no change in y- coordinates. So, the line is parallel to x- axis
Slope = 0
Equation: y = b
y = -10
Answer:
37/76
Step-by-step explanation:
P=24+13/24+13+39=37/76
7 14/15 Good luck! have a great day
Answer:
Minimum dimensions are r=3cm, h=9cm
Minimum Cost=$254.47
Step-by-step explanation:
Volume of a Cylinder=πr²h
Volume of the Open Top Cylinder=81π cm³.
Therefore:
πr²h=81π
The bottom costs $3 per cm² and the side costs $1 per cm².
Total Surface Area of the open top Cylinder= πr²+2πrh
Cost, C=3πr²+2πrh
As the Volume is fixed.
πr²h=81π
r²h=81
h=81/r²
Modifying C,


We differentiate C with respect to r
C'=
At the minimum cost, C'=0.
Next we solve C'=0 for r

6πr³-162π=0
6πr³=162π
r³=27
r=3
The dimensions of the cylinder at minimum cost are therefore:
r=3 cm
h=81/9=9cm
The minimum cost of the Cylinder
C=3πr²+2πrh
=(3XπX3²)+(2XπX3X9)
=$254.47