The radius is √25=5 in this case.
find the area of each triangles first. (the pentagon can be divided into 5 isosceles triangles)
the two equal sides are 5 each, the angle between them is 360/5=72 degree, so the base side is 2*5*sin36, and the height is 5*Cos36
the area of each triangle is (1/2)*2*5*Sin36*5*Cos36
the total area of the 5 triangles is: 5*(1/2)*2*5*Sin36*5*Cos36
use a calculator: A≈59.44
The volume of a cone is pi times the radius squared times the height divided by three.
The volume of a cylinder is pi times the radius squared times the height.
The volume of a sphere is 4 divided by 3 times pi times the radius cubed.
Does this help?
In y = mx + b, m is the slope and b is the y-intercept.
So, first substitute the value: your found slope goes in the place of m
Then, find the y-intercept by, in addition to substituting your slope, replace x with the x value of your coordinate and y with the y value of your coordinate in the formula and solve for b
Hope this helps!
First question:
4(3x-5) + (2x -2)(4 + 3x-5)
Simplify -----> 12x - 20 + (2x-2)(3x-1)
Multiply the second part -----> 12x - 20 + 6x^2 -8x + 2
Combine like terms --------> 6x^2 + 4x - 18
Each side of the addition sign represents one of the rectangles above which is then added to get the area of the entire figure.
Second question:
The average is the summation of each data value divided by the number of data values. So it would be
(4 + 5 + 9)/ 3
Simplify ------> 18/3
Divide --------> 6
Here is my answer, hope to help you
