3. The equation y = 12x describes the amount of money Louis earns, where x is the number of hours he works and y is the amount o
f money he earns.
The table shows the amount of money Carl earns for different numbers of hours worked.
Carl’s Earnings
Time: 3 5 8 10
Money Earned: 45 75 120 150
(a) How much money does Carl earn per hour? Show your work. Write your answer in a complete sentence.
(b) Who earns more per hour? Justify your answer. Write your answer in a complete sentence.
(c) Draw a graph that represents Carl’s earnings over time in hours. Remember to put a title, label the axes and use an appropriate scale. Use a ruler or straightedge to draw your lines.
The table shows the amount of money Carl earns for different numbers of hours worked.
Carl’s Earnings
Time: 3 5 8 10
Money Earned: 45 75 120 150
(a) How much money does Carl earn per hour? Show your work. Write your answer in a complete sentence.
(b) Who earns more per hour? Justify your answer. Write your answer in a complete sentence.
(c) Draw a graph that represents Carl’s earnings over time in hours. Remember to put a title, label the axes and use an appropriate scale. Use a ruler or straightedge to draw your lines.
1 answer:
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cos θ = , sin θ =
, cot θ = 4/7, sec θ =
, cosec θ =
Trigonometric Ratios are values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.
Sin θ: Opposite Side to θ/Hypotenuse
Tan θ: Opposite Side/Adjacent Side & Sin θ/Cos
Cos θ: Adjacent Side to θ/Hypotenuse
Sec θ: Hypotenuse/Adjacent Side & 1/cos θ
Analysis:
tan θ = opposite/adjacent = 7/4
opposite = 7, adjacent = 4.
we now look for the hypotenuse of the right angled triangle
hypotenuse = =
=
sin θ = opposite/ hyp =
Rationalize, x
=
But θ is in the third quadrant(180 - 270) and in the third quadrant only tan and cot are positive others are negative.
Therefore, sin θ = -
cos θ = adj/hyp =
By rationalizing and knowing that cos θ is negative, cos θ = -
cot θ = 1/tan θ = 1/7/4 = 4/7
sec θ = 1/cos θ = 1/ = -
cosec θ = 1/sin θ = 1/ =
Learn more about trigonometric ratios: brainly.com/question/24349828
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Step-by-step explanation:
Since ∠E is right angle, its opposite side is DF and the legs are DE and EF.
<u>Pythagorean applied:</u>