Length of blue cloth is 60 inches , length of gold cloth is 48 inches and length of white cloth is 72 inches.
<u>a.</u>
As, the length of all pieces are equal, so for getting the greatest possible length of the pieces, we need to find <u>GCF(greatest common factor) of 60, 48 and 72. </u>
First we will factor out all three numbers completely......
![60=2*2*3*5\\ \\ 48=2*2*2*2*3\\ \\ 72=2*2*2*3*3](https://tex.z-dn.net/?f=60%3D2%2A2%2A3%2A5%5C%5C%20%5C%5C%2048%3D2%2A2%2A2%2A2%2A3%5C%5C%20%5C%5C%2072%3D2%2A2%2A2%2A3%2A3)
The common factors are: 2, 2 and 3
Thus the GCF ![= 2*2*3=12](https://tex.z-dn.net/?f=%3D%202%2A2%2A3%3D12)
So, the greatest possible length of the pieces without having any cloth left over will be 12 inches.
<u>b. </u>
For finding the number of pieces for each color cloth, we will just <u>divide the length of each cloth by 12</u>. So...
Number of pieces for blue cloth ![=\frac{60}{12}=5](https://tex.z-dn.net/?f=%3D%5Cfrac%7B60%7D%7B12%7D%3D5)
Number of pieces for gold cloth
and
Number of pieces for white cloth ![=\frac{72}{12}=6](https://tex.z-dn.net/?f=%3D%5Cfrac%7B72%7D%7B12%7D%3D6)
Answer:
Length = 10
Width = 13
Step-by-step explanation:
If the width of a rectangle is 3 units less than the length and if the area is 130 square units, the length is 10 units and the width is 13 units.
Formula: A=wl
Therefore, you have to find what two numbers multiply together in order to recieve 130 units.
A=wl=13·10=130
The correct answer for USATesprep is
C) 3 cm, 4 cm, 5 cm
Find the least common denominator for all fractions: 12
3/4 = (3*3)/(4*3) = 9/12
1/6 = (1*2)/(6*2)
1/4 = (1*3)/(4*3)
Take the converted fractions to have the honey used taken away from the original total.
The actual degree measure of arc KJ is 99 degrees
<h3>Circle geometry</h3>
From the given informtion
arc KL = 12x+4
arc KJ = 8x-6
<E = 99 degrees
The equation required to get the value of "x" is given as:
12x + 4 + 8x - 6 + 99 = 360
20x + 97 = 360
20x = 360 - 97
20x = 263
x = 13.15
For the arcKL
arcKJ = 8(13.15) - 6
arcKJ = 99degrees
HEnce the actual degree measure of arc KJ is 99 degrees
learn more on circle geometry here: brainly.com/question/24375372