A
using the Cosine rule in ΔSTU
let t = SU, s = TU and u = ST, then
t² = u² + s² - (2us cos T )
substitute the appropriate values into the formula
t² = 5² + 9² - (2 × 5 × 9 × cos68° )
= 25 + 81 - 90cos68°
= 106 - 33.71 = 72.29
⇒ t = 
≈ 8.5 in → A
Answer:
V =113.04
Step-by-step explanation:
A sphere has a surface area of 113.04
SA = 4 pi r^2
113.04 = 4 pi r^2
Let pi 3.14
113.04 = 4 *(3.14) r^2
113.04 = 12.56 r^2
Divide each side by 12.56
113.04/12.56 = r^2
9 = r^2
Take the square root of each side
3 =r
We want to find the volume
V = 4/3 pi r^3
V = 4/3 (3.14) 3^3
V =113.04
Answer: line N
Lenght of XY: 3
Step-by-step explanation:
The line N splits <u>XY</u> into two parts
5x+8=9x+12
-9x on each side
-4x+8=12
-8 on each side
-4x=4
divide by -4 on each side
x=-1
180 - 155 = 25
90 - 25 = 65
<span>B: 65 </span>°
