Answer:
3
Step-by-step explanation:
In a 30-60-90 triangle, the ratio of the shorter side to the longer side length is
. Therefore:

Hope this helps!
H = hrs she worked
p = phone calls she answered
h x 10 + p x .25 = maggies earnings
Part A
h x 10 + 60 x .25 = 115
Part B
h x 10 + 15 = 115 (multiplied 60 x .25)
h x10 = 100 (subtracted 15 from each side of the equation)
h = 10 (divided 10 into each side)
Part C
10 hrs
Hope this helps
6 • x + 6 • 9
I’m pretty sure this is right because you have to distribute the 6 to both of the numbers inside of the parentheses
Answer:
Kent is making a scale model of his favorite train. The actual train is 12 feet long and 4 feet wide. Kent wants his model to be 6 inches in length. Which would if he uses the same ratio?
Step-by-step explanation:
Kent is making a scale model of his favorite train. The actual train is 12 feet long and 4 feet wide. Kent wants his model to be 6 inches in length. Which would be the width if he uses the same ratio?
Answer:
Diameter = 19.33
Step-by-step explanation:
Imaging a radius line from O to the endpoints of the 7. call this line R.
Label the part of the vertical line from O to the 90 degree intersection y.
Now you have a right triangle.
Using the Pythagorean theorem:
R² = 7² + y²
also
y = R - 3
substitute for y:
R² = 49 + (R-3)²
R² = 49 + R² - 6R + 9
simplify:
0 = 58 - 6R
6R = 58
R = 9.6667
Diameter = 2(9.6667) = 19.33