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kari74 [83]
3 years ago
14

A rectangle has an area of (4x+12) square units. Write Three multiplication expressions that can represent the product of the le

ngth and the width of the rectangle.
Mathematics
1 answer:
RSB [31]3 years ago
5 0

Answer:

This is easy to do on your own.  Just think of 3 numbers, put them in for x, solve, and show your work.

Step-by-step explanation:

You might be interested in
Nicky wants to surround a 25 in. by 16 in. painting with a frame that is w inches wide. Which quadratic function represents the
iVinArrow [24]

Answer:

Option "D" is the correct answer to the following question.

Step-by-step explanation:

Given:

Length of painting = 25 inch

Height of painting = 16 inch

Width of frame = w inch

Find:

Area of Picture with frame

Computation:

New length of painting = 25 + w + w

New length of painting = 25 + 2w inch

New height of painting = 16 + w + w

New height of painting = 16 + 2w

Area = l x b

So,

Area of Picture with frame = [25 + 2w][16 + 2w]

Area of Picture with frame = 400 + 50w + 32w + 4w²

Area of Picture with frame = 4w² + 82w + 400

4 0
3 years ago
Pls help find shaded area
Pavlova-9 [17]
<h3>Exact area = 12pi - 9*sqrt(3)  square inches</h3><h3>Approximate area = 22.1106545749577 square inches</h3>

==========================================================

Work Shown:

Assuming the chord is horizontal along with the diameter, then this means the two smallest minor arcs are both 30 degrees each. This leaves the northern most arc to be 180-30-30 = 120 degrees in measure

A = area of northern sector (you can think of it as a pizza slize)

A = (angle/360)*pi*r^2

A = (120/360)*pi*6^2

A = 12pi

B = area of triangle

B = (1/2)*side1*side2*sin(included angle)

B = (1/2)*6*6*sin(120)

B = 18*sqrt(3)/2

B = 9*sqrt(3)

C = area of shaded region

C = A - B

C = 12pi - 9*sqrt(3)  .... exact area

C = 22.1106545749577 ... use a calculator to get the approximate area

6 0
3 years ago
200 to 170 what is the percentage discount offered
wel

Answer:

85%

Step-by-step explanation:

Convert fraction (ratio) 170 / 200 Answer: 85%

6 0
3 years ago
A study of peach trees found that the average number of peaches per tree was 725. The standard deviation of the population is 70
TEA [102]

Answer:

She needs to sample 189 trees.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.025 = 0.975, so Z = 1.96.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

The standard deviation of the population is 70 peaches per tree.

This means that \sigma = 70

How many trees does she need to sample to obtain an average accurate to within 10 peaches per tree?

She needs to sample n trees.

n is found when M = 10. So

M = z\frac{\sigma}{\sqrt{n}}

10 = 1.96\frac{70}{\sqrt{n}}

10\sqrt{n} = 1.96*70

Dividing both sides by 10:

\sqrt{n} = 1.96*7

(\sqrt{n})^2 = (1.96*7)^2

n = 188.2

Rounding up:

She needs to sample 189 trees.

3 0
3 years ago
Use the graphing tool to create a histogram of Gretchen’s data. Use eight bins for your histogram.
lozanna [386]

The number of bins in the histogram determines the width of the bins and

the frequency (number of members) in a bin.

  • Please find attached the graph of the histogram of Gretchen's data created with MS Excel.
<h3 /><h3>Method used to create the histogram of Gretchen's data</h3>

Given:

The table from  Gretchen's data is presented as follows;

\begin{tabular}{|c|c|} \underline{ Member}& \underline{Number of Days}\\x_1&2\\x_2&4\\x_3&7\\x_4&8\\x_5&12\\x_6&15\\x_7&10\\x_8&7\\x_9&9\\x_{10}&6\\x_{11}&13\\x_{12}&3\\x_{13}&8\\x_{14}&10\\x_{15}&10\end{array}\right]

The required number of bins = 8 bins

The steps to create the histogram using MS Excel;

  • Enter the 15 dataset for the number of days as presented in the above table in a column on the worksheet.

  • Select the dataset entered into the cells from above then select the Insert menu.

  • In the Chart section of the insert menu click on the Histogram icon to view the quick options for histograms type charts.

  • Select the Histogram option from the drop down menu from the quick options for histograms, to create an histogram chart.

  • Right-click the histogram created from the previous step, then select Format Chart Area from the pop up menu.

  • In the Format Chart Area task pane, click on the arrow next to Chart Options, then select Horizontal Axis from the options menu.

  • Click on the histogram icon under Axis Options, then click on arrow button besides Axis Option sub menu, to display the axis options.

  • Click on the Number of bins radio button then enter 8, to create an histogram having 8 bins.

The histogram of Gretchen's data having eight bins created with MS Excel is attached.

Learn more about creating a histogram chart here:

brainly.com/question/25069221

brainly.com/question/4601962

5 0
2 years ago
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