Hey there! :)
Answer:
arc AB = 2.5π in (in terms of pi) or ≈7.85 in. (pi = 3.14)
Step-by-step explanation:
Begin by finding the circumference of the circle. Use the formula:
C = 2rπ
C = 2(9)π
C = 18π.
Since ∠AQB equals 50°, set up a ratio to find the length of arc AB:
Cross multiply:
50 · 18π = 360x
900π = 360x
Divide both sides by 360:
x = 2.5π in, or ≈7.85 in.
Answer:
0.00003
Step-by-step explanation:
Answer:
John bought 2 Snickers bags and 10 Milky Way bags.
Step-by-step explanation:
Let x be number of Snickers bags. Let y be number of Milky Way bags.
Systems of Equations:
4x+5y=58
x+y=12
4x+5y=58
y=-x+12
4x+5(-x+12)=58
4x-5x+60=58
-x=-2
x=2
12-2=10
Answer: B' is (3, -3)
Step-by-step explanation:
When we have a point with coordinate (x, y) and we do a dilation (around the center) with a scale factor of A, the coordinate of the new point will be:
A*(x,y) =(A*x, A*y)
Here our point is (1, -1) and the factor is 3, so the new point will be:
(3*1, 3*-1) = (3, -3)
When you simplify a fraction, remember to perform the same operation on both the numerator and the denominator, and that there may not be a decimal or a fraction as a numerator or denominator.
You could always start by dividing with the largest common factor that you can recall off the top of your head. I'll use 10 as an example.
650/10 = 65. 1000/10 = 100.
You have now simplified the fraction down to 65/100. But wait! You can simplify this fraction down further. I'll use 5 now. 65/5 = 13. 100/5 = 20. You have simplified it down to 13/20. Because you know that 13 is a prime number, you know you have written the fraction in simplest form.
Hope that helped you!
(Hint: Use divisibility rules to help you divide faster.)
