See the attached picture to better understand the problem
we know that
in the right triangle ABC
sin 63°=AB/BC
AB is the opposite side angle 63-----> x cm
BC is the hypotenuse-----> 85 cm
AB=BC*sin 63°-----> AB=85*sin 63-----> AB=75.736 cm
AB=75.8 cm
the answer isthe value of x is 75.8 cm
The third one shows parallel lines cut by a transversal
substitute x for y-1
2(y-1)-y=6 distribute
2y-2-y=6 subtract y in 2y
y-2=6 add 2 to get y by itself
y=8
Put y back into equation x=y-1
x=8-1
X=7
Answer:
10.44
Step-by-step explanation:
58% of 18 = 10.44
Given that the hall is rectangular in shape, then the shortest path that Amy must travel to reach Alice would be through the hall's diagonal.
Applying the Pythagorean theorem, with the length and width as the legs and the diagonal as the hypotenuse of the right triangle. Thus,
diagonal = √ ( 100² + 60²) = √13 600 ≈ 116.62 ft
The shortest distance, rounded off to the nearest foot, is 117 ft<span>. </span>