I need help with an online math class please. Thanks!

The heights of the pine trees in a certain forest are normally distributed, with a mean of 86 feet and a standard deviation of 8

Irina-Kira [14]

Answer: 0.95994

Step-by-step explanation:

3 0

3 years ago

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Mikayla opens a savings account with a principal balance of $3,000. After 5 years, she earns $450 in interest. Using the equatio

Step2247 [10]

L=prt=3000*450*5=6750000

Hope this help!

6 0

3 years ago

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Use the given point on the terminal side of angle θ to find the value of the trigonometric function indicated.

Fofino [41]

Answer: 19) 117° 20) 53°

21) 229° 22) 119°

23) 155° 24) 323°

<u>Step-by-step explanation:</u>

Use Pythagorean Theorem to find r: x² + y² = r²

19) x = $-\sqrt{17}$ , y = 8, r = 9

$\cos \theta=\dfrac{x}{r} \rightarrow \quad \cos \theta =\dfrac{-\sqrt{17}}{9} \rightarrow \quad \theta = cos^{-1}\bigg(\dfrac{-\sqrt{17}}{9}\bigg)\rightarrow \quad \theta = \large\boxed{117^o}$

20) x = 3, y = 4, r = 5

$\cos \theta=\dfrac{x}{r} \rightarrow \quad \cos \theta =\dfrac{3}{5} \rightarrow \quad \theta = cos^{-1}\bigg(\dfrac{3}{5}\bigg)\rightarrow \quad \theta = \large\boxed{53^o}$

21) x = $-\sqrt7$ , y = -3, r = 4

$\sin \theta=\dfrac{y}{r} \rightarrow \quad \sin \theta =\dfrac{-3}{4} \rightarrow \quad \theta = sin^{-1}\bigg(\dfrac{-3}{4}\bigg)\rightarrow \quad \theta = \large\boxed{229^o}$

22) x = $-\sqrt{15}$ , y = 7, r = 8

$\tan \theta=\dfrac{y}{x} \rightarrow \quad \tan \theta =\dfrac{7}{-\sqrt{15}} \rightarrow \quad \theta = tan^{-1}\bigg(\dfrac{7}{-\sqrt{15}}\bigg)\rightarrow \quad \theta = \large\boxed{119^o}$

23) x = -13, y = 6, r = $\sqrt{205}$

$\tan \theta=\dfrac{y}{x} \rightarrow \quad \tan \theta =\dfrac{6}{-13} \rightarrow \quad \theta = tan^{-1}\bigg(\dfrac{6}{-13}\bigg)\rightarrow \quad \theta = \large\boxed{155^o}$

24) x = 4, y = -3, r = 5

$\sin \theta=\dfrac{y}{r} \rightarrow \quad \sin \theta =\dfrac{-3}{5} \rightarrow \quad \theta = sin^{-1}\bigg(\dfrac{-3}{5}\bigg)\rightarrow \quad \theta = \large\boxed{323^o}$