Answer:
The value of the proportionality constant (y to x) is: 3/10
Step-by-step explanation:
We know the slope of any graph where 'y' varies directly with 'x' gives us the constant of proportionality 'k'.
i.e. y = kx
and k = y/x
Given the points
We know that the proportionality constant (y to x) is:
k = y/x
For the point (100, 30)
k = 30/100=3/10
For the point (300, 90)
k = 90/300=3/10
For the point (500, 150)
k = 150/500=3/10
As the value of proportionality constant (y to x) is the same.
i.e. k = 3/10
Thus, the value of the proportionality constant (y to x) is: 3/10
Answer:
![36+27\pi\:\mathrm{in^2}](https://tex.z-dn.net/?f=36%2B27%5Cpi%5C%3A%5Cmathrm%7Bin%5E2%7D)
Step-by-step explanation:
The figure consists of a square and a sector. We can add the areas of the square and sector to get the total area of the figure.
The area of a sector with measure
in a circle of radius
is equal to
. Since there are 360 degrees in a circle and 90 degrees in each corner of a square, the measure of the sector is
.
Thus, its area is:
.
The area of a square with side length
is given by
. Therefore, the area of the circle is
and the total area of the figure is ![\boxed{36+27\pi\:\mathrm{in^2}}](https://tex.z-dn.net/?f=%5Cboxed%7B36%2B27%5Cpi%5C%3A%5Cmathrm%7Bin%5E2%7D%7D)
Answer:
Here are the steps I think you probably will go through.
1. Draw a line that is longer than the segment but shorter than the width of the page.
1a. Make sure this line is at least 1/2 inch from the left hand side.
2. Use a compass to measure the length of the original segment. Never use a ruler. Rulers do not exist in pure geometry.
3. Measure out the distance on the line you just drew with the compass. One end is on the left hand edge and the other end (the pencil end) is marking the segment so it is the same length as the compass. You are done.
The key step either two or three.