Answer:
∅ ≈ 56.31°
Step-by-step explanation:
The bird is spotted flying 6000 ft from a tower . The distance of the tower from the bird is 6000 ft. The height of the tower is 9000 ft because the observer spot the distance from the top of the tower at a distance of 9000 ft.
The illustration forms a right angle triangle. The adjacent side of the triangle is 6000 ft and the height or opposite side of the triangle is 9000 ft. Using tangential ratio the angle of depression from the bird to the observer can be found as follows.
Let
∅ = angle of depression
tan ∅ = opposite/adjacent
tan ∅ = 9000/6000
tan ∅ = 1.5
∅ = tan⁻¹ 1.5
∅ = 56.309932474
∅ ≈ 56.31°
Answer: 1
Step-by-step explanation:
If a random variable x is uniformly distributed in [a,b] the
Mean = 
Standard deviation : 
Let x = Times required for a cable company to fix cable problems
As per given.
x is uniformly distributed between 40 minutes and 65 minutes.
Then , mean = 
minutes
Standard deviation : 
minutes
Consider , P (mean- 2(Standard deviation) < X < mean+2(Standard deviation) )
= P(52.5-2(7.22)< X < 52.5+2(7.22))
=P(38.06 <X < 66.94 ).
But x lies between 40 minutes and 65 minutes.
Also, [40 minutes, 65 minutes]⊂ [38.06 minutes , 66.94 minutes]
Therefore ,P(38.06 <X < 66.94 ) =1
∴ The probability that a randomly selected cable repair visit falls within 2 standard deviations of the mean is 1.
Tony would be 42 and April would be 34! Hope this helps!
The breakeven point is that in which the total cost is just equal to the total revenue. In other words, the profit becomes zero. The revenue and cost will be given below.
(1) Total revenue = ($200)x
(2) Total cost = ($120)(x) + 1200
Equating,
200x = 120x + 1200
Solving for x gives us an answer of 3.33
Hence, the answer is 3.33.
4) 121 degrees
because if x is 121 degrees then angle BCA will equal 59 degrees (the two angles must equal 180) so using the sum of a triangle's angles, then angle BAC will have to equal 59, making the triangle an isoceles, which will make AB to be congruent to BC.
