The greatest possible length of each piece is 16 inches
<h3><u>Solution:</u></h3>
Latisha has two pieces of ribbon. One piece of ribbon is 48 inches and the other is 80 inches
Ribbon is to be cut into pieces of equal length
To find the greatest possible length of each piece, we have to find greatest common divisor of 48 and 80
The greatest common factor, or GCF, is the greatest factor that divides two numbers
<em><u>Steps to find G.C.F of 48 and 80</u></em>
1) Find the prime factorization of 48

2) Find the prime factorization of 80

3) To find the GCF, multiply all the prime factors common to both numbers:
Therefore, 
So, 16 inches is the greatest possible length to cut so that every piece is of equal length.
We have

We start by calculating square root:

We can rewrite 4 in base of 2:

Now we can calculate this by using rule of same base and different exponent:
Answer: there are no numbers here there only variables so x=1 i think but i am not sure
Step-by-step explanation:
Answer:
49-63
Step-by-step explanation:
1. (7·7) - (7·9)
2. (49) - (63)
3. 49 - 63 = -14
Hoped I helped!! :)
Answer:
8.1
Step-by-step explanation:
The perimeter of a circle means the circumference. In this question it says the perimeter of a quarter circle is 17.85 miles and we want to find the quarter circle’s radius.
We know that the perimeter of the quarter circle is 17.85 which means that the 2 radii and the circumference of the circle sum to 17.85.
The formula to work out the perimeter of a quarter circle is
. We can form an equation to work out the radius so,
= 17.85
→ Multiply everything by 2 to get rid of the fraction
4r + π = 35.7
→ Minus π from both sides to isolate 4r
4r = 32.55840735
→ Divide both sides by 4 to isolate 4
r = 8.139601837
The radius of the quarter circle is 8.1 miles to 1 decimal place