<u>Given</u><u> </u><u>info:</u><u>-</u>If the radius of a right circular cylinder is doubled and height becomes 1/4 of the original height.
Find the ratio of the Curved Surface Areas of the new cylinder to that of the original cylinder ?
<u>Explanation</u><u>:</u><u>-</u>
Let the radius of the right circular cylinder be r units
Let the radius of the right circular cylinder be h units
Curved Surface Area of the original right circular cylinder = 2πrh sq.units ----(i)
If the radius of the right circular cylinder is doubled then the radius of the new cylinder = 2r units
The height of the new right circular cylinder
= (1/4)×h units
⇛ h/4 units
Curved Surface Area of the new cylinder
= 2π(2r)(h/4) sq.units
⇛ 4πrh/4 sq.units
⇛ πrh sq.units --------(ii)
The ratio of the Curved Surface Areas of the new cylinder to that of the original cylinder
⇛ πrh : 2πrh
⇛ πrh / 2πrh
⇛ 1/2
⇛ 1:2
Therefore the ratio = 1:2
The ratio of the Curved Surface Areas of the new cylinder to that of the original cylinder is 1:2
Answer:
hardd sorry
Step-by-step explanation:>..
Answer:
Speedy Taxis
Step-by-step explanation:
I solved this by using a graphing calculator. Speedy Taxis shows the least cost for x=30.
__
You can figure the cost of each for x=30
1.5(30) = 45
1.1(30)+11.5 = 33+11.5 = 44.5 . . . . . lowest cost
1.25(30)+8 = 37.5+8 = 45.5
Speedy Taxis is the cheapest for a trip of 30 miles.
Correct answer: y = 
x + 2
To find out the slope, you would need to remember this slope formula: 
. We can use the two points provided on the graph to figure out the slope. We can label (3, 3) as 
and 
, and (0, 2) as 
and 
. Now we can plug these numbers into the slope formula to find out the slope:
m = → 
→ 
→
To find out the y-intercept, just substitute (3, 3) into the slope-intercept<em> </em>formula ( <em>y = mx + b</em> ) with the slope that is substituted for '<em>m</em>' that we already solved earlier.
y = mx + b
(3) = (3) + b
3 = 1 + b
2 = b
You can also prove this true by looking at the graph provided. The line intersects at the y-axis at 2.
Now we know that m = and b = 2, we can substitute it into the slope-intercept formula. Thus, the answer is y = x + 2.
Hope this helps you! Let me know if you have any more questions related to this problem.
Answer:
x = -6 x=5
Step-by-step explanation:
x^2 +x -30 =0
Factor
What two numbers multiply to -30 and add to 1
6 * -5 = -30
6-5 =1
(x+6) (x-5) =0
Using the zero product property
x+6 =0 x-5=0
x+6-6=0-6 x-5+5=0+5
x = -6 x=5
