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vitfil [10]
2 years ago
14

100 Points!!!! Please HELP!!!

Mathematics
1 answer:
Degger [83]2 years ago
5 0

Answer:

We can use the <u>tan trig ratio</u> to calculate the steepness of each run.

The side <em>opposite</em> the angle is the <em>vertical </em>distance of each path.

The side <em>adjacent </em>to the angle is the <em>horizontal </em>distance of each path.

(see attached diagram)

<u>Tan trig ratios</u>

\sf \tan(\theta)=\dfrac{O}{A}

where:

  • \theta is the angle
  • O is the side opposite the angle
  • A is the side adjacent the angle

<u>Little Thunder</u>

\implies \sf \tan(\theta)=\dfrac{2}{7}

\implies \sf \theta=\tan^{-1}\left(\dfrac{2}{7}\right)

\implies \sf \theta=16^{\circ} \: (nearest\:degree)

Rating = EASY (green circle)

<u>Dodge Ridge</u>

\implies \sf \tan(\theta)=\dfrac{4}{6}=\dfrac{2}{3}

\implies \sf \theta=\tan^{-1}\left(\dfrac{2}{3}\right)

\implies \sf \theta=34^{\circ} \: (nearest\:degree)

Rating = MODERATE (blue square)

<u>Wild Side</u>

\implies \sf \tan(\theta)=\dfrac{4}{4}=1

\implies \sf \theta=\tan^{-1}(1)

\implies \sf \theta=45^{\circ}

Rating = DIFFICULT (black diamond)

<u>Pacific Crest</u>

\implies \sf \tan(\theta)=\dfrac{4}{8}=\dfrac{1}{2}

\implies \sf \theta=\tan^{-1}\left(\dfrac{1}{2}\right)

\implies \sf \theta=27^{\circ} \: (nearest\:degree)

Rating = EASY (green circle)

<u>Thunderbolt</u>

\implies \sf \tan(\theta)=\dfrac{6}{2}=3

\implies \sf \theta=\tan^{-1}(3)

\implies \sf \theta=72^{\circ} \: (nearest\:degree)

Rating = DIFFICULT (black diamond)

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Draw clearly the graph of the linear equation. y=1/2x, where x= (-4 -2, 0, 2, 4)​
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Answer:

(in attachment)

Step-by-step explanation:

you can find the points by inputting the x-values into the equation to solve for the y-values, then connecting the plotted points to create the line.

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Pls help me this is due tomorrow
Anna [14]

Step-by-step explanation:

Claim: There's 14 Goats and 9 Chickens!!

Data:

Working with the Provided Information.

Let the Number of goats be x

let the Number of Chickens be y

x + y = 23..... (i)

Since the goat Possesses Two Pair of Legs... Which is a Total of 4 Legs... We say Let its Contribution be 4x.

The Chicken has Only a Pair Of Legs...Which is a total of 2 legs.... We say let its contribution be 2y

4x + 2y = 74 .....(ii)

BRINGING BOTH EQUATIONS TOGETHER.

x + y = 23

4x + 2y = 74

From Eqn i

x= 23 - y

Substitute into eqn ii

4(23 - y ) + 2y = 74

92 - 4y + 2y = 74

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Substitute y into any of the eqns to get x

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This simply proves that there are 14 Goats and 9 Chickens!!!.

HAVE A GREAT DAY!

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