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BlackZzzverrR [31]
3 years ago
15

A problem states "There are 9 more children than parents in a room. There are 25 people in the room in all. How many children ar

e there in the room?"
Let "c" represent the number of children.

Which expression represents the number of parents?

A. c + 9
B. c * 9
C. c - 9
D. 9 - c
Mathematics
2 answers:
Neko [114]3 years ago
5 0

Answer: Option 'c' is correct.

Step-by-step explanation:

Let the number of children be 'c'.

According to question,

"There are 9 more children than parents in a room.

Let the number of parents would be 'p'.

According to question, it becomes,

c-p=9\\\\c-9=p

As there are total 25 people in the room = 25

So, it becomes,

c+p=25\\\\c+c-9=25\\\\2c-9=25\\\\2c=34\\\\c=17

Hence, there are 17 children and 17-9 = 8 parents.

Therefore, option 'c' is correct.

Margaret [11]3 years ago
3 0
The correct answer is c
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Please Help! This is a trigonometry question.
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\large\begin{array}{l} \textsf{From the picture, we get}\\\\ \mathsf{tan\,\theta=\dfrac{2}{3}}\\\\ \mathsf{\dfrac{sin\,\theta}{cos\,\theta}=\dfrac{2}{3}}\\\\ \mathsf{3\,sin\,\theta=2\,cos\,\theta}\qquad\mathsf{(i)} \end{array}


\large\begin{array}{l} \textsf{Square both sides of \mathsf{(i)} above:}\\\\ \mathsf{(3\,sin\,\theta)^2=(2\,cos\,\theta)^2}\\\\ \mathsf{9\,sin^2\,\theta=4\,cos^2\,\theta}\qquad\quad\textsf{(but }\mathsf{cos^2\theta=1-sin^2\,\theta}\textsf{)}\\\\ \mathsf{9\,sin^2\,\theta=4\cdot (1-sin^2\,\theta)}\\\\ \mathsf{9\,sin^2\,\theta=4-4\,sin^2\,\theta}\\\\ \mathsf{9\,sin^2\,\theta+4\,sin^2\,\theta=4} \end{array}

\large\begin{array}{l} \mathsf{13\,sin^2\,\theta=4}\\\\ \mathsf{sin^2\,\theta=\dfrac{4}{13}}\\\\ \mathsf{sin\,\theta=\sqrt{\dfrac{4}{13}}}\\\\ \textsf{(we must take the positive square root, because }\theta \textsf{ is an}\\\textsf{acute angle, so its sine is positive)}\\\\ \mathsf{sin\,\theta=\dfrac{2}{\sqrt{13}}} \end{array}

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\large\begin{array}{l} \textsf{From (i), we find the value of }\mathsf{cos\,\theta:}\\\\ \mathsf{3\,sin\,\theta=2\,cos\,\theta}\\\\ \mathsf{cos\,\theta=\dfrac{3}{2}\,sin\,\theta}\\\\ \mathsf{cos\,\theta=\dfrac{3}{\diagup\!\!\!\! 2}\cdot \dfrac{\diagup\!\!\!\! 2}{\sqrt{13}}}\\\\ \mathsf{cos\,\theta=\dfrac{3}{\sqrt{13}}}\\\\ \end{array}

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\large\begin{array}{l} \mathsf{csc\,2\theta=\dfrac{~~~~1~~~~}{\frac{2\cdot 2\cdot 3}{(\sqrt{13})^2}}}\\\\ \mathsf{csc\,2\theta=\dfrac{~~1~~}{\frac{12}{13}}}\\\\ \boxed{\begin{array}{c}\mathsf{csc\,2\theta=\dfrac{13}{12}} \end{array}}\qquad\checkmark \end{array}


<span>If you're having problems understanding this answer, try seeing it through your browser: brainly.com/question/2150237


\large\textsf{I hope it helps.}


Tags: <em>trigonometry trig function cosecant csc double angle identity geometry</em>

</span>
8 0
3 years ago
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x: twice y (2, 4, 6, or 8)

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z: an even number (0, 2, 4, 6, or 8).

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Choose one of the digits and look at your options (if any).

when x=2, then y = 1, which means z has to be 11 (NOT VALID)

when x=4, then y = 2, which means z has to be 8 (428 works!)

For fun, let's see if any other numbers work:

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when x=8, then y = 4, which means z has to be 2 (842 works!)

Answer: 428 and 842 both work



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Answer:

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Step-by-step explanation:

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