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kodGreya [7K]
3 years ago
11

in a class five there are 2 girls for every 3 boys. there are 30 children in the class how many boys are there?​

Mathematics
1 answer:
Vika [28.1K]3 years ago
7 0

Answer: 18 boys

Step-by-step explanation:

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What is the measure of an interior angle in a regular octagon?
andrew11 [14]
To find the interior angle of any regular polygon you can use the formula \frac{(n-2)*180}{n} where n is the number of sides
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The measure of an interior angle in a regular octagon is 135
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3 years ago
find two positive real numbers such that they sum to 108 and the product of the first times the square of the second is a maximu
topjm [15]

The two positive numbers are 36 and 72 which gives a sum equal to 108 and the product of 36 and the square of 72 is a maximum.

Any integer greater than zero is considered a positive number. A positive number can either be written as a number or with the "+" symbol in front of it.

Let us consider the two positive real numbers as x and y. Then, their sum is written as,

x+y=108

Then, y=108-x

And the product is written as,

P=xy²

Substitute value of y in the above equation, we get,

\begin{aligned}P&=x(108-x)^2\\&=x(11664-216x+x^2)\\&=11664x-216x^2+x^3\\&=x^3-216x^2+11664x\end{aligned}

Now, differentiate P with respect to x, and we get,

\begin{aligned}\frac{dP}{dx}&=3x^2-432x+11664\\&=x^2-144x+3888\end{aligned}

Solving the above equation to zero, we get,

\begin{aligned}x^2-144x+3888&=0\\x^2-36x-108x+3888&=0\\x(x-36)-108(x-36)&=0\\(x-108)(x-36)&=0\\x&=\text{108 or 36}\end{aligned}

Substitute values of x in y=108-x, to get values of y.

If we substitute x=108, we get the y value as zero which doesn't give the required solution.

But, if we substitute x=36, we get,

\begin{aligned}y&=108-36\\y&=72\end{aligned}

Thus, the two positive numbers are 36 and 72.

To know more about positive numbers:

brainly.com/question/1635103

#SPJ4

4 0
1 year ago
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73.14 $ knowing that the tax would be 4.14$, added to 69$ would be 73.14$
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Blake thinks that the mass of a baby mouse will increase similar to what is shown on the
ira [324]

Answer:

Check below for a lucid explanation.

Step-by-step explanation:

The independent variable is the variable whose variation does not depend on another external variable. It is the variable on the x-axis which in this case is the growth of the baby.

Note: The diagram you attached to this question does not include the calibration on the x - axis which will give us the independent variable at point

This, nevertheless, is a very simple task. Locate the point A on the graph and trace it downwards to the x - axis, the value written where the line coincides with the x -axis is the value of the independent variable( growth of the baby) at point A.

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What is sin(C)? Please explain.
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Answer:

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