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)
1.) (x - 4)(x + 1) = 0
x^2 + x - 4x - 4 = 0
y = x^2 - 3x - 4
2.) (x - 2)(x - 6) = 0
x^2 - 6x - 2x + 12 = 0
x^2 - 8x + 12 = 0
since the function has a maximum point the leading coefficient is negative.
Therefore, required equation is y = -3x^2 + 24x - 36
3.) a(x + 3)^2 = ax^2 + 6ax + 9a
since the y intercept is at y = 18 => 9a = 18 => a = 2
Therefore, required function is y = 2x^2 + 12x + 18
We have an equation: 42/? = 75/100
Cross multiply:
75*? = 42*100
⇒ ? = 42*100/75= 56
The original price of the sweater was $56.
Hope this helps~
Answer:
no, he is not correct
Step-by-step explanation:
His last two conversion fractions are reversed. He should have 1hr/60min and 1min/60s.