Total surface area of cylinder :
[(22/7)(7)²] × 2 ( area for 2 circles )
+
[ 2(22/7)(7) ] ×12 ( circumference of circle × height )
=
836 cm²
i hope my solution helps :))
Answer: Did this all by myself 1/6 is closer to 0 and 5/8 is closer to 1/2 so the answer is 1/2 0 then 1/2 then 1/3 again
Step-by-step explanation:
1/
6 -5
/8
=(1 × 4 6 × 4) – (5 × 3 8 × 3) = 4
/24 – 15
/24 = 4 – 15 24
= – 11 24
2 {6 + [12/(3 + 1)]} - 1
2 { 6 + 12/4} - 1
2 { 6 + 3 } - 1
2 {9} - 1
18 - 1
17 <===
Here's our equation:

Factor out the left side
(-2x - 3) - 4 = 3/4 (-8x - 12)
Simplify
-2x - 7 = 3/4 (-8x - 12)
Factor out the right side
-2x - 7 = -6x - 9
Add 7
-2x = 6x - 2
Add 6x to isolate the variable
4x = -2
Divide by 4
x = - 1/2
Here is how I simplified both sides initially. I'll only be showing the right side because this is a LOT of typing.
Begin with 3/4 (-8x - 12)
Use rule
to multiply
3(-8x-12)/4
Factor 3(-8x-12)
(-8x - 12) = (-4 * 2x - 4 * 3)
Simplify (-4 * 2x - 4 * 3)
-3 * 4 (2x+3)
- 12 (2x + 3)
Now that we've factored 3/4 (-8x - 12), we're left with- 12 (2x + 3)/4.
12/4 =3, giving us -3(2x + 3)
Distribute and simplify, then you're done.
Answer:
The visitor should run 13 km due west from the tent
Step-by-step explanation:
Here we have;
Location of island = 3 km North of point on shoreline
Location of tent = 13 km East of point on shoreline
Running speed of visitor = 8 km/h
Swimming speed = 1 km/h
Distance of island from tent = 
Since, time = distance/speed, it will take 13.34/1 hours or 13.34 hours to swim directly to the island.
However if the visitor first runs to the closest point on the shoreline to the island, then swims across to the island, it will take;
13/8 Hr + 3/1 hr = 37/8 hours or 4.625 hours only.
Therefore, to minimize the time it takes to reach the island, the visitor has to run 13 km west of the tent to first get to the closest point of the shoreline to the island before swimming across to the island.