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3 years ago

15

Tessa is in the track team. For practice and exercise, she runs 2.25 miles each day. At the end of 14 days, how many total miles

will Tessa have run?

2 answers:

Llana [10]3 years ago

7 0

You first have to know what the rate is and in this case, it is 2.25 miles each day. So you multiply 2.25* 14 and you get 31.5. So Tessa runs 31.5 miles in 14 days.

Answer 31.5

lidiya [134]3 years ago

5 0

2.25 miles in 1 day

1day=2.25mi

14days=x miles

1day 14days
_______ = ________
2.25mi x mi

Cross multiply
1x=31.5
divide both sides by 1
x=31.5miles

Answer=31.5miles

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Cos(-170°) = _____<br><br> -cos10°<br> cos10°<br> cos(-10°)

ikadub [295]

<em>The right answer for:</em>

<em>cos(-170°) = _____</em>

<em>is:</em>

<em>-cos10°</em>

<h2>Explanation:</h2>

The cosine function is an even function, which means that for every point $(x,y)$ on the graph of $y=cos(x)$ then the point $(-x,y)$ also lies on the graph of the function. In other words, we can write:

$cos(-170^{\circ})=cos(170^{\circ})$

But:

$170^{\circ}=180^{\circ}-10^{\circ}$

So:

$cos(170^{\circ})=cos(180^{\circ}-10^{\circ})$

By property:

$cos(a-b)=cosacosb+sinasinb \\ \\ a=180^{\circ} \\ \\ b=10^{\circ} \\ \\ cos(170^{\circ} )=cos(180^{\circ} -10^{\circ})=cos180^{\circ} cos10^{\circ} +sin180^{\circ} sin10^{\circ} \\ \\ cos(170^{\circ})=-cos(10^{\circ})+0 \\ \\ \boxed{cos(170^{\circ})=-cos(10^{\circ})}$

<h2>Learn more:</h2>

Trigonometric functions: brainly.com/question/2680050

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3 years ago

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In f(x) = 3x + 2, the x is being represented in the function. So, if we replace the x with the g(x) functions, we get:

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f(g(x)) = 6x - 10

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3 years ago

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A circle has a radius of 10 meters and a central angle AOB that measures 140 degrees. What is the area of sector AOB? Use 3.14 f

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A phase shift is defined as the a<span>mount of x by which sinusoid is shifted to the left or right.

And yes, </span><span>every sine function be expressed as a phase shifted cosine function:
</span>
sin(t)=cos(90-t)

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

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Harold wrote this equation to model the level of water in a pool over time. The variable x represents time in hours. f(x) = 3,50

lina2011 [118]

Answer:

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Since the slope is negative, it means the water level is falling.

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