<u>answers to 1 - 4:</u>
1.<em> </em><em>GCF: </em>2
2. <em>GCF:</em> 3
3. <em>GCF : </em>7
4.<em> GCF:</em> 3
Answer:
≈ 15.08 units²
Step-by-step explanation:
The area (A) of the sector is calculated as
A = area of circle × fraction of circle
= πr² ×
( r is the radius )
= π × 6² × 
= 36π ×
= π ×
=
≈ 15.08
Answer:
3.2%
Step-by-step explanation:
The computation of the annual rate of interest is shown below:
As we know that
Simple interest = Principal × rate of interest × time period
($1,857.60 - $1,800) = $1,800 × rate of interest × 1
$57.60 = $1,800 × rate of interest × 1
So, the rate of interest is
= $57.60 ÷ $1,800 × 100
= 3.2%
Hence, the rate of interest on annual basis is 3.2%
Answer:
A 4/605
Step-by-step explanation:
mathematics = 11 letters
P(m) = number of m's/total = 2/11
we replace it so we have mathematics = 11 letters
P(s) = number of s's/total = 1/11
not replacing it
we replace it so we have mathematic = 10 letters
P(vowel) = number of vowel/total = 4/10 = 2/5
P(m, replace,s, no replace, vowel) = 2/11* 1/11 * 2/5 = 4/605
For this question we can solve it by setting up a proportion:

Now we can solve for x to find the total distance between the towns. Let's cross multiply and solve for x:


So now we know that
the total distance between the towns is 42.5 miles.