Answer:
6 cms.
Step-by-step explanation:
If the side of an equilateral triangle is 2x cm then its height is √3x and its base is 2x.
Area = 1/2 * base * height
9√3 = 1/2 * 2x * √3x
9√3 = x * √3x
9 = x^2
x = 3
So length of each side = 2*3 = 6.
x = 9
You would input 10 as m into the equation
t= 0.05(10) +60
t=0.5+60
t=60.5
Use the Pythagorean theorem to find the diameter:
Diameter = √(19.3^2 - 9.5^2)
Diameter = √(372.49 - 90.25)
Diameter = √282.24
Diameter = 16.8 m
Volume of a cylinder = PI x r^2 x h
r = 1/2 diameter = 16.8 /2 = 8.4
h = 9.5 m
Volume = PI x 8.4^2 x 9.5
= PI x 70.56 x 9.5
= PI x 670.32
In terms of PI volume = 670.32PI
As a decimal:
670.32 x 3.14 = 2104.8048 = 2100m^3 ( rounded to the nearest hundred)
For number 9, you know that it makes 40 copies every five minutes. All you have to do is divide 40 by 5.
40 ÷ 5 = 8
It makes 8 copies every minute.
Your chart can also help you check your answer. It says that it makes 96 copies every 12 minutes and it makes 104 copies every 13 minutes. So multiply 8 by 12 to check it and 8 by 13.
8 • 12 = 96
8 • 13 = 104
Since those answers match up with the chart, it must be correct.
The photocopier makes 8 copies every minute. Hope that helps!
I would say smaller than because you would be dilating the image by a number less than 1, which is making the image smaller.
