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2 years ago

Trevor watched as the barometer on his front porch showed a change in air pressure.

Mathematics

1 answer:

Rina8888 [55]2 years ago

7 0

Answer: D) A high pressure system turned into a low pressure system.

Step-by-step explanation:

Usually cloudy and stormy weather is asociated with low pressure systems, while hot and dry weather is associated with high pressure system.

In the image we can see how the day went from sunny to rainy.

This means that we started with a high pressure system that transformed into a low pressure system.

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Pre-calc questions (trignometry)

miv72 [106K]

Answer: (1a) 250° (1b) 70° (2) see below

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

1a) -110 + 360 (one rotation clockwise) = 250°

1b) 430 - 360 (one rotation counterclockwise) = 70°

2) sec Ф = -8/5 in Quadrant III

Quadrant III identifies that both sin (y) and cos (x) are negative.

sec = r/x --> r = 8, x = -5, and y = -√39

(Use Pythagorean Theorem x² + y² = r² to solve for y)

$\sin\theta=\dfrac{y}{r}=\dfrac{-\sqrt{39}}{8}$ $\csc\theta=\dfrac{r}{y}=\dfrac{-8}{\sqrt{39}}$ rationalized = $\dfrac{-8\sqrt{39}}{39}$

$\cos\theta=\dfrac{x}{r}=\dfrac{-5}{8}$ $\sec\theta=\dfrac{r}{x}=\dfrac{-8}{5}$ (GIVEN)

$\tan\theta=\dfrac{y}{x}=\dfrac{\sqrt{39}}{5}$ $\cot\theta=\dfrac{x}{y}=\dfrac{-5}{-\sqrt{39}}$ rationalized = $=\dfrac{5\sqrt{39}}{39}$

NOTE THAT YOU ARE ALLOWED A MAXIMUM OF 3 QUESTIONS PER POST. Please repost #3 and #4 as a different question and I will answer them.

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2 years ago