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IrinaVladis [17]
3 years ago
9

A group of hikers is descending a mountain at a rate of 400 feet per hour. After three hours, what integer represents their tota

l change in elevation?
Mathematics
1 answer:
Ludmilka [50]3 years ago
7 0

Answer:

1200

Step-by-step explanation:

it's just 400x3 which is 1200

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PLEASE HELP ME I'M GIVING 20PTS AND MARKING BRAINLIEST!!!!
pishuonlain [190]

Using a trigonometric identity, it is found that the values of the cosine and the tangent of the angle are given by:

  • \cos{\theta} = \pm \frac{2\sqrt{2}}{3}
  • \tan{\theta} = \pm \frac{\sqrt{2}}{4}

<h3>What is the trigonometric identity using in this problem?</h3>

The identity that relates the sine squared and the cosine squared of the angle, as follows:

\sin^{2}{\theta} + \cos^{2}{\theta} = 1

In this problem, we have that the sine is given by:

\sin{\theta} = \frac{1}{3}

Hence, applying the identity, the cosine is given as follows:

\cos^2{\theta} = 1 - \sin^2{\theta}

\cos^2{\theta} = 1 - \left(\frac{1}{3}\right)^2

\cos^2{\theta} = 1 - \frac{1}{9}

\cos^2{\theta} = \frac{8}{9}

\cos{\theta} = \pm \sqrt{\frac{8}{9}}

\cos{\theta} = \pm \frac{2\sqrt{2}}{3}

The tangent is given by the sine divided by the cosine, hence:

\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}

\tan{\theta} = \frac{\frac{1}{3}}{\pm \frac{2\sqrt{2}}{3}}

\tan{\theta} = \pm \frac{1}{2\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}}

\tan{\theta} = \pm \frac{\sqrt{2}}{4}

More can be learned about trigonometric identities at brainly.com/question/24496175

#SPJ1

5 0
1 year ago
Help please. Geometry.
Luda [366]

Answer:

Trapezoid i think

7 0
2 years ago
Read 2 more answers
Yearly tuition, housing, and fees for a local college are $10,500, $1300, and $2170 respectively. You have saved $3100 and have
Natalija [7]

Answer:

4,370

Step-by-step explanation:

add 10,500, 1,300, and 2,170

then add 3,100 and 6,500

subtract both sums

got it

4 0
3 years ago
This problem has to do with Fahrenheit and Celsius
Vinvika [58]
F = 1.8C + 32

С = -10   ⇒   F = 1.8·(-10) + 32 = 14   ⇒   (-10, 14)
С = 0      ⇒   F = 1.8·(0) + 32 = 32      ⇒   (0, 32)
С = 10    ⇒   F = 1.8·(10) + 32 = 50    ⇒   (10, 50)
С = 20    ⇒   F = 1.8·(20) + 32 = 68    ⇒   (20, 68)

8 0
3 years ago
18. An urn contains 3 red balls, 2 green balls and 1 yellow ball. Three balls are selected at random and without replacement fro
Goryan [66]

Answer:

27.77%

Step-by-step explanation:

The probability of not drawn a red ball is 3/6. The probability of not drawn a green ball is 4/6, and the probability of not drawn a yellow ball is 5/6. So, the probability of not drawn at least one color is the multiplication of the probabilities of each color, so (3/6)*(5/6)*(4/6) = 0.2777.

5 0
3 years ago
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