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3 years ago

Which situation could be BEST represented by a constant function?

Mathematics

1 answer:

BartSMP [9]3 years ago

4 0

The weight of b, c, and d are all changing as time goes on, but the thermostat doesn’t, it is CONSTANT. So “A”

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If sinθ = -1/2 and θ is in Quadrant III, then tanθ = _____.

Gnom [1K]

Answer: $\tan \theta=\dfrac{1}{\sqrt3}.$

Step-by-step explanation: Given that

$\sin\theta=-\dfrac{1}{2}$ and $\theta$ lies in Quadrant III.

We are to find the value of $\tan \theta.$

We will be using the following trigonometric identities:

$(i)~sin^2\theta+\cos^2\theta=1,\\\\(ii)~\dfrac{\sin\theta}{\cos{\theta}}=\tan \theta.$

We have

$\tan\theta\\\\\\=\dfrac{\sin\theta}{\cos\theta}\\\\\\=\dfrac{\sin\theta}{\pm\sqrt{1-\sin^2\theta}}\\\\\\=\pm\dfrac{-\frac{1}{2}}{\sqrt{1-\left(\frac{1}{2}\right)^2}}\\\\\\=\pm\dfrac{\frac{1}{2}}{\sqrt{1-\frac{1}{4}}}\\\\\\=\pm\dfrac{\frac{1}{2}}{\frac{\sqrt3}{2}}\\\\\\=\pm\dfrac{1}{\sqrt3}.$

Since $\theta$ lies in Quadrant III, so tangent will be positive.

Thus,

$\tan \theta=\dfrac{1}{\sqrt3}.$

8 0

4 years ago

Read 2 more answers

If you can buy 1⁄3 of a pound of turkey for 4 dollars, how much can you purchase for 10 dollars? Write your answer as a fraction

sleet_krkn [62]

Hey Shardj16!

The correct way to answer your question would be to:
Let t be the variable for the pound of turkey.
Write down the equation first: 1/3t = 4
Now you must get the 4 to 10, so you multiply it by 2.5!
2.5/3=10
You can make 2.5/3 into a fraction by multiplying the numerator and denominator by 2, turning it into 5/6.
The correct answer to your question would be 5/6 pounds of turkey.

Hope I was able to help! If you need any more help, please let me know.

7 0

4 years ago

Nikhil gets paid a 5 percent commission on every pair of shoes that he sells. He earned $1.00 on the last pair of shoes that he

laila [671]

If 5 equals 1

then 100 will equal 20

the shoes are 20 dollars

5 0

4 years ago

Read 2 more answers

How many inches are in 300 feet.

ElenaW [278]

The answer should be1200 feet

8 0

4 years ago

A scuba diver was 53 below the oceans surface. If he rises 25 feet, what is hte new depth?

bonufazy [111]

Answer:

28 ft below the surface.

Step-by-step explanation:

A scuba diver was 53 below the oceans surface. If he rises 25 feet, what is the new depth?

You subtract 25 ft from 53 ft leaving you with 28 ft.

53 ft

- 25 ft

28 ft below the surface

Hope this helps.

3 0

4 years ago