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3 years ago

An art project has an area of 63.6 square inches. What is the width, in inches, of the project?

Mathematics

1 answer:

Flura [38]3 years ago

4 0

Answer:

The width of the art projects of area 63.6 square inches is 7.97 inches .

Step-by-step explanation:

Given as :

The area of the square art project = 63.6 square inches

Since The shape of the art project is square

So, The Area of square = A = side × side = side²

Now, let the measure of the width of art project = w inches

I.e side = w inches

or , A = side²

Or , A = w²

Or, 63.6 = w²

So, w = $\sqrt{63.6}$

I.e w = 7.97 inches

So, the width of the projects = w = 7.97 inches

Hence The width of the art projects of area 63.6 square inches is 7.97 inches . Answer

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Malik considers the enlargement of the trapezoid

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2 years ago

The function f(x) = One-sixth (two-fifths) Superscript x is reflected across the y-axis to create the function g(x). Which order

Gekata [30.6K]

The ordered pair (-3 , $\frac{4}{375}$ ) is on g(x) ⇒ 1st answer

Step-by-step explanation:

Let us revise the reflection across the axes

If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x) (change the sign of y)
If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x) (change the sign of x)

∵ $f(x)=\frac{1}{6}(\frac{2}{5})^{x}$

∵ f(x) is reflected across the y-axis to create the function g(x)

- Change the sign of x

∴ $g(x)=\frac{1}{6}(\frac{2}{5})^{-x}$

To find the point that lies on g(x) substitute x in g(x) by the x-coordinate of the point if the answer equal to the y-coordinate of the point, then the point lies on it if not then the point does not lie on it

∵ The coordinates of the point are (-3 , $\frac{4}{375}$ )

∴ x = -3 and y = $\frac{4}{375}$

- Substitute x by -3 in g(x)

∵ $g(x)=\frac{1}{6}(\frac{2}{5})^{-x}$

∴ $g(x)=\frac{1}{6}(\frac{2}{5})^{-(-3)}$

∴ $g(x)=\frac{1}{6}(\frac{2}{5})^{3}$

∵ $(\frac{2}{5})^{3}=\frac{2^{3}}{5^{3}}=\frac{8}{125}$

∴ $g(x)=\frac{1}{6}(\frac{8}{125})$

∴ $g(x)=\frac{8}{750}$

- Divide up and down by 2

∴ $g(x)=\frac{4}{375}$

∵ The value of g(x) equal to the y-coordinate of the point

∴ The point (-3 , $\frac{4}{375}$ ) lies on g(x)

The ordered pair (-3 , $\frac{4}{375}$ ) is on g(x)

Learn more:

You can learn more about the reflection in brainly.com/question/5017530

#LearnwithBrainly

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2 years ago

Read 2 more answers

Given BE= 2x+6 and ED= 5x-12 in a parallelogram ABCD, find BD

Brrunno [24]

1.BE = 2x + 6
ED = 5x - 12
2. To get the entire side of BD, we must add both half's which equals to the entire length.
3. 2x + 6 + 5x - 12
4.Add like terms.
2x + 5x = 7x
-12 + 6 = -6
5. So, we have 7x - 6

=7x - 6

3 0

3 years ago

The following table shows the number of hours some high school students in two states spend surfing the Internet each week:

babymother [125]

1st data set:

Minimum: 34
1st quartile: 35
Median: 36
3rd quartile: 37
Maximum: 38

Second data set:
Minimum: 20
1st quartile: 23
Median: 25
3rd quartile: 38
Maximum: 65

Graph it based on the values of the 1st and 3rd quartile. If they are both the same number away from the mean then they are symmetrical. Otherwise they are not. In this case, the first one is similar and the second one is not.

Please mark as brainiest!
Cheers

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3 years ago

12. Dominic drives a taxi. He charges a $2 flat fee plus $1.50 per mile.

r-ruslan [8.4K]

Answer:

The y-intercept represents the flat fee.

Step-by-step explanation:

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At x = 0, f(0) = 2.

The y-intercept represents the flat fee on the graph of f(x).

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3 years ago