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Luba_88 [7]
3 years ago
11

In how many different ways can seven children line up in one row to have their picture taken?

Mathematics
2 answers:
wolverine [178]3 years ago
8 0

49 should be the correct answer.

-TheOneandOnly003


Zigmanuir [339]3 years ago
5 0

Answer:

7! = 5,040

Step-by-step explanation:

sorry for the lae response plese mark me as brainliest

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Someone please help me with this lol… have no idea what I’m doing
Sholpan [36]

Given:

\cos \theta =\dfrac{3}{5}

\sin \theta

To find:

The quadrant of the terminal side of \theta and find the value of \sin\theta.

Solution:

We know that,

In Quadrant I, all trigonometric ratios are positive.

In Quadrant II: Only sin and cosec are positive.

In Quadrant III: Only tan and cot are positive.

In Quadrant IV: Only cos and sec are positive.

It is given that,

\cos \theta =\dfrac{3}{5}

\sin \theta

Here cos is positive and sine is negative. So, \theta must be lies in Quadrant IV.

We know that,

\sin^2\theta +\cos^2\theta =1

\sin^2\theta=1-\cos^2\theta

\sin \theta=\pm \sqrt{1-\cos^2\theta}

It is only negative because \theta lies in Quadrant IV. So,

\sin \theta=-\sqrt{1-\cos^2\theta}

After substituting \cos \theta =\dfrac{3}{5}, we get

\sin \theta=-\sqrt{1-(\dfrac{3}{5})^2}

\sin \theta=-\sqrt{1-\dfrac{9}{25}}

\sin \theta=-\sqrt{\dfrac{25-9}{25}}

\sin \theta=-\sqrt{\dfrac{16}{25}}

\sin \theta=-\dfrac{4}{5}

Therefore, the correct option is B.

6 0
2 years ago
For the following, find f(g(x)) and g(f(x)).<br> f(x) = 3x - 1<br> G(x) = 2x - 1/ x
Ronch [10]

Step-by-step explanation:

by comparing both f (x) and g (x)

we get

3x-1=2x-1/x

by this way we can get the value of X and put the value of X in f (x) and g (x)

4 0
2 years ago
Elena works at least 4 hours but not more than 8 hours. The amount of money Elena earns for working t hours is represented by a
mezya [45]
That makes no sense what are we supposed to figure out
4 0
3 years ago
Read 2 more answers
What can you times by 9 to 1296 <br> What can you multiply by 9 to get 1296
Bingel [31]

Answer:

144

Step-by-step explanation:

1296 divided by 9 = 144

9 times 144 = 1296

4 0
3 years ago
I want to buy a car for $17,500 and I make 13 an hour roughly how long would it take me to reach my goal? &amp; how many hours w
Aneli [31]

Answer:

1347 hours

Step-by-step explanation:

Assuming the income is <u>net income</u> (total after taxes etc.):

  • Cost of car = $17,500
  • Net income = $13 per hour

To calculate the number of hours to be worked to save enough to buy the car, divide the cost of the car by hourly net income:

\begin{aligned}\implies \textsf{Number of hours to work} & = \dfrac{\textsf{Cost of car}}{\textsf{hourly net income}}\\\\& = \sf \dfrac{17500}{13}\\\\& = \sf 1346.1538...\end{aligned}

We have to round the number up to <u>1347 hours</u>, as only $17,498 will be saved if 1346 hours are worked.

The average working week is approximately 40 hours, therefore to calculate how many weeks it would take to earn enough money to purchase the car, divide the number of hours by 40:

⇒ 1347 ÷ 40 = 33.675

So it would take 34 weeks, working an average of 40 hours a week and not spending <u>any</u> of the money earned, to save enough to purchase the car.

8 0
2 years ago
Read 2 more answers
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