Answer:
The ratio of the surface areas and volume is 8((5y+5x) /25xy)
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes.
Let us assume that the radius =x
Radius r=5x/4
And the height =y
Height h= 5y/4
We know that the total surface area of a cylinder is
A total = 2πrh+2πr²
We can factor out 2πr
A total = 2πr(h+r)
The volume of a cylinder is given as
v= πr²h
The surface area and volume ratios
Can be expressed as
2πr(h+r)/πr²h= 2(h+r)/rh
= (2h+2r)/rh= 2h/rh + 2r/rh
= 2/r + 2/h
= 2(1/r + 1/h)
Substituting our value of x and y
For radius and height we have
= 2(1/5x/4 + 1/5y/4)
=2(4/5x + 4/5y)
=2*4(1/5x + 1/5y)
= 8 (5y+5x/25xy)
Answer:
c
Step-by-step explanation:
1 1/2 x1 1/2 x1 =2 and 1/4
2 and 1/4 x 8=18
Answer:
adult tickets sold: 407
student tickets sold: 839
Step-by-step explanation:
2x² + 4x - 16 = 0
2(x²) + 2(2x) - 2(8) = 0
<u>2(x² + 2x - 8)</u> = <u>0</u>
2 2
x² + 2x - 8 = 0
x = <u>-(2) ± √((2)² - 4(1)(-8))</u>
2(1)
x = <u>-2 ± √(4 + 32)</u>
2
x = <u>-2 ± √(36)
</u> 2<u>
</u> x = <u>-2 ± 6
</u> 2<u>
</u> x = -1 ± 3
x = -1 + 3 U x = -1 - 3
x = 2 x = -4
<u />
Answer: 51°
Step-by-step explanation:
3:5
x:85°
85/5=17
3x17=51
So, 51° is the answer!
Hope this helped! ;)