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Answer:
x=-1±4√31/3 ft is the height
Step-by-step explanation:
let the height be x ft.
then the length would be 3x+2
area = L*H= x(3x+2)
165=3x²+2x
0= 3x²+2x -165
dividing the whole equation by 3
0=x²+2x/3-55
(x)²+2(x)(1/3) +(1/3)² -55 -(1/9)=0
(x+1/3)²- 495-1/9=0
(x+1/3)²= 496/9
taking square root on both sides
(x+1/3)= ±4√31/3
x= ±4√31/3-1/3
x=-1±4√31/3 ft is the height
Cylinder: First you need to find the radius. To do that, you need to divide the diameter by 2
Then, you multiply it by itself
After that, you multiply it by the height
And finally multiply it by pi
Cone: First, you need to find the radius dividing the diameter by 2
Then, multiply it by itself
After that, divide the height by 3
Finally, multiply the radius times the height and then multiply it by pi
The answer to the cylinder is 251.2 and the answer to the cone is 251.2
The processes are the following:
Cylinder
D:8
R:4
V:π4^2*5
V:π16*5
V:80π
V:251.2
Cone
D:8
R:4
V:π4^2 15/3
V:π16*5
V:80π
V:251.2
Answer: 6√2 - 30√3
Step-by-step explanation:
(2-5√6) x 3√2
6√2 - 15√12
6√2 - 30√3
Answer:
j would be 130 cuz sides that are congruent have congruent angles so you add those two angles up and subtract from 180