Answer:x=7
Step-by-step explanation:
180=112+9x+5
Collect like terms
180-112-5=9x
63=9x
Divide both sides by 9
63/9=9x/9
7=x
x=7
Answer:segment YZ ≈ 19.4 inangle X ≈ 85.3°angle Z ≈ 26.7°Explanation:1) Given two side lenghts and one angle you can use sine law:

2) Using the sides with length 43 in and 40in, and the corresponding opposite angles, Z and 68°, that leads to:

From which you can clear sinZ and get:
sinZ = 43 × sin(68) / 40 = 0.9967
⇒ Z = arcsine(0.9967) ≈ 85.36°
3) The third angle can be determined using 85.36° + 68° + X = 180°
⇒ X = 180° - 85.36° - 68° = 26.64°.
4) Finally, you can apply the law of sine to obtain the last missing length:

From which: x = 40 × sin(26.64°) / sin(68°) = 19.34 in
The answer, then is:
segment YZ ≈ 19.4 in
angle X ≈ 85.3°
angle Z ≈ 26.7°
Answer:
B. 3 to 2
Step-by-step explanation:
I calculated it logically
Answer: wouldn't be 1608.5? let me know if im wrong.
V = πr^2 h= π · 8^2 · 8 ≈ 1608.49544
9514 1404 393
Answer:
(c) 108 yd
Step-by-step explanation:
For hypotenuse c and legs a and b, the Pythagorean theorem tells you the relation is ...
c² = a² +b²
Solving for c, we have ...
c = √(a² +b²)
c = √(40² +100²) = √(1600 +10000) = √11600
c ≈ 107.70 . . . . yards
The length of the hypotenuse is about 108 yards.