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vitfil [10]
1 year ago
14

100 Points!!!! Please HELP!!!

Mathematics
1 answer:
Degger [83]1 year 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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A number is increased by 54. The sumos then divided by 9. The result is 21. Write an equation to represent the discription, use
hram777 [196]

Answer:

  (n+54)/9 = 21

Step-by-step explanation:

A number: n

Is increased by 54: n+54

The sum is divided by 9: (n +54)/9

and the result is 21:

  (n +54)/9 = 21

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Part 1: Add: 3 3/8 + 7 3/4<br> Part 2: Subtract: 12 3/8 - 8 1/5
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In 2000, the cost of tuition at a UC school was $3200. The tuition has increased by about 8% every year. How much can you expect
miss Akunina [59]

Answer:

$51, 200

Step-by-step explanation:

First is to find the increase of tuition

$3,200 × .8 = $2560

then subtract the year.

2020-2000=20

lastly multiply the year and the increase of tuition to know the final answer

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The NCAA is interested in estimating the difference in mean number of daily training hours for men and women athletes on college
hammer [34]

Answer:

s^2_p = \frac{9*0.3^2 +9*0.4^2}{10+10-2}=0.125

s_p =\sqrt{0.125}=0.354

(2.7 -2.4) - 2.1*0.354\sqrt{\frac{1}{10}+\frac{1}{10}}=-0.032  

(2.7 -2.4)+ 2.1*0.354\sqrt{\frac{1}{10}+\frac{1}{10}}=0.632  

Step-by-step explanation:

Previous concepts  

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Data given

\bar X_M = 2.7 represent the sample mean for men

\bar X_F = 2.4 represent the sample mean for women

s_M = 0.3 represent the sample deviation for men

s_F = 0.4 represent the sample deviation for women

n_M = 10 sample size of male

n_F =10 sample size of women

The confidence interval is given by:

(\bar X_M -\bar X_F) \pm t_{\alpha/2} S_p \sqrt{\frac{1}{n_M}+\frac{1}{n_F}}   (1)

The polled variance can be calculated with this formula:

s^2_p = \frac{9*0.3^2 +9*0.4^2}{10+10-2}=0.125

s_p =\sqrt{0.125}=0.354

For a confidence of 95% the value for the significance is \alpha=1-0.95=0.05 and \alpha/2 = 0.025, the degrees of freedom are given by:

df = n_M + n_F -2= 10+10-2=18

And the critical value can be calculated with the following formula in excel: "=T.INV(1-0.025,18)" and we got t_{\alpha/2}=2.1

Now we can replace into the confidence interval:

(2.7 -2.4) - 2.1*0.354\sqrt{\frac{1}{10}+\frac{1}{10}}=-0.032  

(2.7 -2.4)+ 2.1*0.354\sqrt{\frac{1}{10}+\frac{1}{10}}=0.632  

6 0
3 years ago
What is blank divided by 84.8=10.6
il63 [147K]

To find that out, do the reverse of dividing which is multiplying.

10.6 × 84.8 = 898.88

Check your answer by dividing. So 898.88 divided by 84.8 gives 10.6. So it is correct

So your answer is 898.88

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