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NISA [10]
3 years ago
8

Nicole’s friend runs 3/8 of a mile, but her distance is only 3/5 of Nicole’s distance. How far does Nicole run?

Mathematics
1 answer:
salantis [7]3 years ago
4 0

Step-by-step explanation:

<h3><u>Required Answer</u><u>:</u><u>-</u></h3>

Let distance travelled by Nichol =x

<h2>ATQ</h2>

{:}\longrightarrow\sf {\dfrac {3}{5}}\times x={\dfrac {3}{8}}

{:}\longrightarrow\sf {\dfrac {3x}{5}}={\dfrac {3}{8}}

{:}\longrightarrow\sf 8 (3x)=5×3

{:}\longrightarrow\sf 24x=15

{:}\longrightarrow\sf x={\dfrac{24}{15}}

{:}\longrightarrow\sf x=1.6

\therefore Nichol runs 1.6miles .

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<h2>Hello!</h2>

The answer is: y=cscx

<h2>Why?</h2>

Domain and range of trigonometric functions are already calculated, so let's discard one by one in order to find the correct answer.

The range is where the function can exist in the vertical axis when we assign values to the variable.

First:

y=cosx: Incorrect, it does include 0.4 since the cosine range goes from -1 to 1 (-1 ≤ y ≤ 1)

Second:

y=cotx: Incorrect, it also does include 0.4 since the cotangent range goes from is all the real numbers.

Third:

y=cscx: Correct, the cosecant function is all the real numbers without the numbers included between -1 and 1 (y≤-1 or y≥1).

Fourth:

y=sinx : Incorrect, the sine function range is equal to the cosine function range (-1 ≤ y ≤ 1).

I attached a pic of the csc function graphic where you can verify the answer!

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8 0
3 years ago
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Keywords:

<em>Cookies, boxes, sale, profit, unit cost </em>

For this case we have to bake an amount of 702 cookies, which were distributed in boxes of 18 for sale. Selling each box at the same price earned a profit of 136.50 dollars, you want to know the unit cost of each box of cookies.

Let "x"be the number of boxes of cookies:

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