Answer:

Step-by-step explanation:
The radius is the distance between the center and any point on the circle.
The formula of a distance between two points:

We have the center (3, -3) and other point on the circle (7, 6).
Substitute:

Answer:
11
Step-by-step explanation:
All angles on a triangle equal 180. 80+60=140.
Now to solve for x, we set it to equal 40 for 180-140.
40=3x+7. 40-7=33
33=3x 33/3=11
x=11
Let d is the number of days of rental car
At Trinity's Tire World, $50 a day plus $75 fee: 50*d + 75
At India's Auto, $35 a day plus $105 fee: 35*d + 105
To find out after how many days, they both cost the same
50*d + 75 = 35*d + 105
50d + 35d = 105 - 75
15d = 30
d = 30/15
d = 2
Answer: after 2 days, they both cost the same amount of money
Proof:
50*d + 75 = 50*2 + 75 = 100 + 75 = 175
35*d + 105 = 35*2 + 105 = 70 + 105 = 175
Hope that helps
Answer:
0.5
Step-by-step explanation:
The decimal 0.25 represents the fraction 25/100. Decimal fractions always have a denominator based on a power of 10. We know that 5/10 is equivalent to 1/2 since 1/2 times 5/5 is 5/10. Therefore, the decimal 0.5 is equivalent to 1/2 or 2/4, etc.
Answer:
18 yards of material needed to make 24 shirts
Step-by-step explanation:
The unit rate is
1 shirt
------------------------------ = 1 1/3 shirts per yard of material = 4/3 shirt/yard
0.75 yards material
This rate could also be written as 3/4 yard per shirt
Multiply this latter rate by 24 shirts:
3 yard
-------------- * 24 shirts = 18 yards of material needed to make 24 shirts
4 shirt