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)
The product is 98-40root6
Answer:
See attachment
Step-by-step explanation:
The given system is
2x-y=4
x-y=-2
We write the system in slope-intercept form:
y=2x-4
y=x+2
The first equation has slope of 2 and y-intercept at (0,-4)
When y=0, x=2.
We plot (0,-4) and (2,0) to graph this first equation.
The second equation has a slope of 1 and a y-intercept at (0,2)
Also when y=0, x=-2.
We plot (0,2) and (-2,0) and draw a straight line through them.
The graph of the system is shown in the attachment.
Answer:
Obtuse Scalene Triangle
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Answer:
It is 7 hours and 50 minutes