the lateral surface area of the figure is 660 sq ft
(but the answer is not matching with the options)
Step-by-step explanation: this figure is called cylinder. the lateral surface area means the area of curved surface.
here the diameter is 10 ft
so radius = diameter/2 = 10/2 ft = 5ft
again, height = 21ft
now the lateral surface area = perimeter of the circular surface X height
= 2X pie X r X h ( here r is the radius and h is height and we will take pie as 22/7)
= 2 X (22/7) X 10 X 21 sq ft
= 2 X 22 X 5 X 3 sq ft
=660 sq ft
( suggest you to recheck the options)
Answer:They are the same there just different variables
Step-by-step explanation:
Answer:
C) 22 pi
Step-by-step explanation:
Here the diameter of the circle = 24.
Therefore, radius of the circle = 24/2 = 12 ft
Here we have to use the formula to find the arc length.
Arc length = (central angle / 360) * 2*pi*r
Central angle ABC = 360 - 30 = 330 degrees and radius (r) = 12
Now plug in these values in the formula, we get
Arc length ABC = (330/360) *2*pi*12
Now we have to simplify it.
= 11/12 *2 *pi*12
= 11*2*pi
Arc length of ABC = 22pi
Therefore, the answer is C) 22 pi
Hope you will understand the concept.
Thank you.
Answer:
code = 56
Step-by-step explanation:
E = GCF(22,30) = 2
F = LCM(3,8) = 24
Given
3 * (7+10) = G +30 => 51 = G + 30 => G = 21
5 * (3+H) = 15 + 45 => 3+H = (60/5) = 12 => H = 12 - 3 = 9
Sum E + F + G + H = 2 + 24 + 21 + 9 = 56
Answer:
3x < 4x < 3x + 8 < 4x + 3 < x² < x² + 6
Step-by-step explanation:
This is because as x → ∞
3x → 3∞ ,
Also, as x → ∞
4x → 4∞ ,
Also, as x → ∞
3x + 8 → 3∞ + 8,
Also, as x → ∞
4x + 3 → 4∞ + 3
,
Also, as x → ∞
x² → ∞²,
Also, as x → ∞
x² + 6 → ∞² + 6
and 3∞ < 4∞ < 3∞ + 8 < 4∞ + 3 < ∞² < ∞² + 6
Thus as x → ∞
3x < 4x < 3x + 8 < 4x + 3 < x² < x² + 6 in ascending order
