The answer is b
2cos x + 1 = 0
2 cos x = -1
cos x = -1/2
x = cos^1(-1/2)
(cos inverse (-1/2))
x = 120°
Answer:
d ≈ 1732 ft
Step-by-step explanation:
Angle of elevation = Angle of depression
Following this truth,
m∠PAQ (Angle of depression) = m∠APB (Angle of elevation) = 30°
By applying tangent rule in the given triangle ABP,
tan(30°) = 

d = 1000√3
d = 1732.05
d ≈ 1732 ft
Alright.
For 7, you'll want to put congruent sides equal to each other, assuming they are parallelograms. So, you'll get the two equations:
3x+2=23
2y-7=9
Solve using GEMDAS/PEMDAS, and you'll get these answers.
3x+2=23
3x=21
x=7
2y-7=9
2y=2
y=1
For 8, you'll want to do the exact same thing, formatting the numbers to equal each other. You'll get these two equations:
3y+5=14
2x-5=17
Solving them would make:
3y+5=14
3y=9
y=3
2x-5=17
2x=22
x=11
For 9, you have to remember that the angle opposite of one angle in a defined parallelogram are congruent. Thus:
130=2h
5k=50
solve them and you get
h=65
k=10
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Hope that helped. Good luck.
Answer:
Mr. Johnson has 12 possibilities.
Step-by-step explanation:
The information provided are:
- Mr. Johnson has a white shirt, a plaid shirt, and a blue shirt.
- Mr. Johnson has four pairs of pants, black, brown, gray, and white.
- He chooses one shirt and one pair of pants.
Compute the number of ways to select a shirt and a pair of pants as follows:
Total number of ways = Number of Shirts × Number of pair of pants

Thus, Mr. Johnson has 12 possibilities.