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s344n2d4d5 [400]
3 years ago
7

Which of the following is equal to tan θ using coordinates on the unit circle? Question 18 options: A) x∕y B) y C) y∕x D) x

Mathematics
2 answers:
kramer3 years ago
8 0

Answer:

Solution given

tan θ=opposite/adjacent=y/x is a required answer.

vova2212 [387]3 years ago
5 0

Step-by-step explanation:

tan 0 = y/x (as a drawing attached)

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Question 7
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Answer:

Step-by-step explanation:

.21x + 21.01 = 25.00

.21x = 3.99

x = 19 minutes

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3 years ago
Your task is to build a road joining a ranch to a highway that enables drivers to reach the city in the shortest time. The perpe
lubasha [3.4K]

Answer:

(a)In the attachment

(b)The road of length 35.79 km should be built such that it joins the highway at 19.52km from the perpendicular point P.

Step-by-step explanation:

(a)In the attachment

(b)The distance that enables the driver to reach the city in the shortest time is denoted by the Straight Line RM (from the Ranch to Point M)

First, let us determine length of line RM.

Using Pythagoras theorem

|RM|^{2}=30^2+x^2\\|RM|=\sqrt{30^2+x^2}

The Speed limit on the Road is 60 km/h and 110 km/h on the highway.

Time Taken = Distance/Time

Time taken on the road  =\frac{\sqrt{30^2+x^2}}{60}

Time taken on the highway =\frac{50-x}{110}

Total time taken to travel, T =\frac{\sqrt{30^2+x^2}}{60}+\frac{50-x}{110}

Minimum time taken occurs when the derivative of T equals 0.

T^{'}=\frac{x}{60\sqrt{30^2+x^2}}-\frac{1}{110}\\\frac{x}{60\sqrt{30^2+x^2}}-\frac{1}{110}=0\\\frac{x}{60\sqrt{30^2+x^2}}=\frac{1}{110}\\110x=60\sqrt{30^2+x^2}\\

Square both sides

12100x^2=3600(30^2+x^2)\\12100x^2=3240000+3600x^2\\12100x^2-3600x^2=3240000\\8500x^2=3240000\\x^2=\frac{3240000}{8500} =381.18\\x=\sqrt{381.18} =19.52

The road should be built such that it joins the highway at 19.52km from the point P.

In fact,

|RM|=\sqrt{30^2+19.52^2}=35.79km

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4 years ago
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The probability would be like 14/95
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The diameter of the circle is 8 cm. what is the circles area?
iren [92.7K]

Answer:

Step-by-step explanation:

diameter = 8 cm

radius = 8/2 = 4 cm

Area of circle = πr²

                       = 3.14*4*4 = 50.24 cm²

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4 years ago
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A grocery store recently sold 10 cartons of yogurt, of which 5 were raspberry. What is the experimental probability that the nex
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