Answer:
C. 18 cm
Step-by-step explanation:
The ratio of the sides of the triangle shown is 12 : 15 = 4 : 5. We know it is a right triangle, so we know the missing side length completes the ratio
3 : 4 : 5 = 9 : 12 : 15
Half of XY is 9 cm, so the length of the entire chord is 18 cm.
_____
The chord is tangent to the inner circle, so makes a 90° angle with the radius to that tangent point. This tells you that the triangle shown is a right triangle. It also tells you that the short radius bisects the chord. The Pythagorean theorem can be used to find the length of the side not shown (half the chord length).
The unknown side (a) can be found from ...
15² = 12² +a²
225 -144 = a² . . . . . . subtract 12²
81 = a² . . . . . . . . . . . simplify
9 = a . . . . . . . . . . . . . take the square root
The chord length is 2a, so is ...
2(9 cm) = 18 cm . . . . length of chord XY
The correct answer is 31 ask if you need me to show my work
Answer:
If you need volume: 8 inches^3
Answer:
R=50 degrees
Step-by-step explanation:
All of the angle measures together are 180 degrees. You need to make an equation in order to solve this problem:
180= (3x+5) + (11x-1) + (5x+5)
You then combine like terms:
180= (3x+11x+5x) + (5-1+5)
180= 19x+9
Then, subtract 9 from 180:
171= 19x
Then, divide 171 by 19:
9= x
Finally, you plug the value of x into the equation representing angle R:
5 x 9 + 5
45 + 5
50
Answer:
8.5 hours
Step-by-step explanation:
30 mins per page ( 15 )
so, 30 × 15 = 450
each hour is 60 minutes so 450 ÷ 60 = 7.5
then add the 1 hour that she already took to write the outline, so 8.5 hrs