Answer:
56.4°
Step-by-step explanation:
Let θ = the angle of elevation. Then
tanθ = 199/132 = 1.508
θ = arctan1.508
θ = 56.4°
The angle of elevation is 56.4°.
Lucy packs plates faster she packs 5 plates every minute. Mike packs 4 plates every minute because 3/4 of an hour is 45 minutes, then you divide 180 by 45 and the answer is 4 per minute.
Franco would have to pack 90 plates every 20 minutes (1/3 of an hour) for his rate to be between Lucy's and Mike's. Lucy's rate is at 100 plates per 20 minutes because she can pack 5 plates every minute. Mike's it's at 80 plates per 20 minutes because he can pack 4 plates per minute. So that means that For Franco to be in the middle he has to pack 90 Plates every 20 minutes.
Hope this helps!!!
The value of the angle m∠4 is 105 degrees.
<h3>How to find angles in a quadrilateral?</h3>
The sum of angles in a quadrilateral is 360 degrees.
Therefore,
m∠1 + m∠2 + m∠3 + m∠4 = 360°
Hence,
x + x + 10 + x + 20 + x + 30 = 360
4x + 60 = 360
4x = 360 - 60
4x = 300
x = 360 / 4
x = 75
Therefore,
m∠4 = 75 + 30 = 105°
learn more on quadrilaterals here: brainly.com/question/17178852
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Answer:
Does not factor; domain = -∞<x<∞, range = f(x) ≤ 2.
Step-by-step explanation:
Assuming your end goal is to factor the polynomial
If we use the guess and check method we can see that there is no way to factor this polynomial.
However, if you are looking for a domain and range we can graph it on a graphing calculator. Just by looking at the graph, we can see that the domain is all real numbers, or -∞<x<∞, and the range is f(x) ≤ 2.
I hope this helped!
