Answer:
$47.25
Step-by-step explanation:
Earnings = (rate of pay)(number of hours worked)
Here,
Earnings last weekend = ($8.75/hr)(5.4 hrs) = $47.25
The length of EF which lie on line EC is 8.66 units.
<h3>What is parallel lines?</h3>
Parallel lines are the lines that do not intersect or meet each other at any point in a plane. They are always parallel and are at equidistant from each other. Parallel lines are non-intersecting lines.
Here, EG = 6.9 , FC = 6.4, GD = 5.1
Also. FG || CD
By Basic Proportionality Theorem,
![\frac{EF}{FC} = \frac{EG}{GD}](https://tex.z-dn.net/?f=%5Cfrac%7BEF%7D%7BFC%7D%20%3D%20%5Cfrac%7BEG%7D%7BGD%7D)
![EF = \frac{EG . FC}{GD}](https://tex.z-dn.net/?f=EF%20%3D%20%5Cfrac%7BEG%20.%20FC%7D%7BGD%7D)
EF = (6.9 X 6.4) / 5.1
EF = 8.66 units
Thus, The length of EF which lie on line EC is 8.66 units.
Learn more about Parallel Lines from:
brainly.com/question/16701300
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<h3>
Answer: 116.2°</h3>
Work Shown:
![c^2 = a^2 + b^2 - 2ab\cos(C)\\\\55^2 = 24^2 + 40^2 - 2*24*40\cos(C)\\\\3025 = 576 + 1600 - 1920\cos(C)\\\\3025 = 2176 - 1920\cos(C)\\\\3025 - 2176 = -1920\cos(C)\\\\849 = -1920\cos(C)\\\\-1920\cos(C) = 849\\\\\cos(C) = (849)/(-1920)\\\\\cos(C) \approx -0.4421875\\\\C \approx \cos^{-1}(-0.4421875)\\\\C \approx 116.243535748231^{\circ}\\\\C \approx 116.2^{\circ}\\\\](https://tex.z-dn.net/?f=c%5E2%20%3D%20a%5E2%20%2B%20b%5E2%20-%202ab%5Ccos%28C%29%5C%5C%5C%5C55%5E2%20%3D%2024%5E2%20%2B%2040%5E2%20-%202%2A24%2A40%5Ccos%28C%29%5C%5C%5C%5C3025%20%3D%20576%20%2B%201600%20-%201920%5Ccos%28C%29%5C%5C%5C%5C3025%20%3D%202176%20-%201920%5Ccos%28C%29%5C%5C%5C%5C3025%20-%202176%20%20%3D%20-1920%5Ccos%28C%29%5C%5C%5C%5C849%20%20%3D%20-1920%5Ccos%28C%29%5C%5C%5C%5C-1920%5Ccos%28C%29%20%3D%20849%5C%5C%5C%5C%5Ccos%28C%29%20%3D%20%28849%29%2F%28-1920%29%5C%5C%5C%5C%5Ccos%28C%29%20%5Capprox%20-0.4421875%5C%5C%5C%5CC%20%5Capprox%20%5Ccos%5E%7B-1%7D%28-0.4421875%29%5C%5C%5C%5CC%20%5Capprox%20116.243535748231%5E%7B%5Ccirc%7D%5C%5C%5C%5CC%20%5Capprox%20116.2%5E%7B%5Ccirc%7D%5C%5C%5C%5C)
The first equation is one of the three variations for the Law of Cosines.
Make sure your calculator is in degree mode.
Answer:
Step-by-step explanation:
Charlotte's revenue earned : R = 12.50h.....where R = revenue earned and h represents hrs worked
=======================
break even point :
12.50h = 45 + 2.50h
12.50h - 2.50h = 45
10h = 45
h = 45/10
h = 4.5 <== she would have to work 4.5 hrs to break even
========================
revenue - expenses = profit / loss
for 5 hrs...h = 5 for 3.5 hrs
12.50(5) - (45 + 2.5(5)) = 12.50(3.5) - (45 + 2.5(3.5)) =
62.5 - (45 + 12.5) = 43.75 - (45 + 8.75) =
62.5 - 57.5 = $ 5 profit 43.75 - 53.75 = -10....$ 10 loss
for 4 hrs for 7 hrs
12.50(4) - (45 + 2.50(4)) = 12.50(7) - (45 + 2.50(7)) =
50 - (45 + 10) = 87.5 - (45 + 17.5) =
50 - 55 = - 5.....$ 5 loss 87.5 - 62.5 = $ 25 profit
==================================
12.50h - (45 + 2.50h) = 50
12.50h - 45 - 2.50h = 50
10h - 45 = 50
10h = 50 + 45
10h = 95
h = 95/10
h = 9.5 <=== she would have to work 9.5 hrs to make a $ 50 profit
28 divided by 8 is equal to 3.5, so one hotdog will cost $3.50