Answer:
4 units
Step-by-step explanation:
we know that
The <u><em>Intersecting Chord Theorem</em></u> states that: When two chords intersect each other inside a circle, then the products of their segments are equal.
do
In this problem

substitute the given values

solve for x

therefore
The length of segment AY is 4 units
Answer:
20. 300π m³
21. 457 1/3 π cm³
Step-by-step explanation:
20. r = 10 ÷ 2 = 5
V = 5² × 12 × π = 25 × 12π=300π m³
21. r = 14 ÷ 2 = 7
V = \frac{4}{3} \pi 7x^{3}
V = 457 1/3 π cm³
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:
18
Step-by-step explanation:
0.5(w) + 3x
0.5(6) + 3(5)
= 18