How many pieces of fabric are left over?
How many more pieces of fabric would you need to increase the size of the wall hanging?
The square wall hanging made from pieces of fabric will have an area of 1600 square inches. There will be 16 pieces of fabric left over. 1 more piece of fabric is needed to increase the size of the wall hanging.
The first thing to do in this process is to determine how many square pieces of fabric you can use to form a larger square. In order to have a square, you need the same number of pieces on each side, so the number of pieces used must be a perfect square. The largest perfect square less than or equal to 80 is 64 (which is 8^2), so you would use 64 pieces to form the wall hanging.
Therefore, the area of the wall hanging (which is side squared) is therefore 8 pieces x 5 inches x 8 pieces x 5 inches = 1600 square inches.
To find out how many pieces are left over, you subtract the number of pieces used from the total you started with, therefore 80 - 64 = 16 pieces of fabric are left over.
To increase the size of the wall hanging by one row and column (which remains a square), you would need to go up to the next perfect square which is 9^2 = 81, so you need 81 - 80 = 1 more piece of fabric.
Learn more about Area here:
#SPJ2
Equation of any line is given by y-mx+b where m is the slope and b is the y intercept.
Two points are given to us .Let us first find the slope
Slope of the points (4,15) and (2,25) is the difference of y divided by difference of x coordinate
m=
Slope m= -5 and any (x,y)=(4,15)
We put these values in y=mx+b to find b (Any of the two given points can be taken as (x,y)
15=-5(4)+b
15=-20+b
Adding 20 both sides
15+20=-20+20+b
35=b
Or b=35.
Slope formula: y1-y2/x1-x2=m, given that x and y are coordinates and m is the slope. You have two sets of coordinates in your question, so I will first use those to find the slope of the equation:
15-25/4-2=m
This reduces to -10/2, or -5.
Slope intercept form: y=mx+b, given m is the slope and b is the y-intercept. Plug the slope in now.
y=-5x+b
Now, use one of the coordinates in the question to solve for b. I'm using (4,15).
15=-5(4)+b
15=-20+b
Add 20 to both sides.
35=b
Your equation is: y=-5x+35
and b=35
I hope this helps :)
true
B.
false
Identify whether the given value of the variable makes the equation true.
45 – 2.4d = 69; d = 10
A.
true
B.
false
What will be the next two terms in the pattern shown?
x, x, y, x, x, y, …
A.
x, x
B.
x, y
C.
y, x
D.
y, y
Answer:
A B A
Step-by-step explanation: