Trey is sewing a pentagonal button into a shirt, as shown in the figure below. The button has holes at each of its 5 corners. How many different stitches would Trey need to make in order to stitch a piece of thread across every possible pair of non-adjacent holes?

Answers

Answer 1

Answer: To stitch a piece of thread across every possible pair of non-adjacent holes in a pentagonal button with 5 corners, you can use the combination formula.

For a pentagon, there are 5 corners, and you want to choose 2 holes to stitch between, so it's a combination of 5 holes taken 2 at a time.

The combination formula is:

C(n, k) = n! / (k!(n-k)!)

Where:
- n is the total number of items to choose from (in this case, 5 holes).
- k is the number of items to choose (in this case, 2 holes).

C(5, 2) = 5! / (2!(5-2)!)

Now, calculate the combinations:

C(5, 2) = 5! / (2!(3!))

C(5, 2) = (5 * 4 * 3!) / (2! * 3!)

Now, simplify:

C(5, 2) = (5 * 4) / (2!)

C(5, 2) = (20) / (2)

C(5, 2) = 10

So, Trey would need to make 10 different stitches to stitch a piece of thread across every possible pair of non-adjacent holes in the pentagonal button.

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Bc reflects about a line such that N is the reflection of B and O is the reflection of C. Point N is shown on the coordinate plane, but point O is not. What will the coordinates of point O be?

Answers

From my research, the coordinate points can be found on image below. Since N is the reflection of B and O is the reflection of C, if we were to draw a line to the right of N and a vertical line below C, the point of intersection of these two lines should give us the location of point O. Doing just that, point O is found at (5,5).

The coordinates of point O of the given Reflection is; 5, 5

How to find the point coordinates?

The coordinates point is missing and so I have attached it.

Now, from the question, we are told that N is the reflection of B and O is the reflection of C. Thus, from the attached image, drawing a line to the right of N and a vertical line below C, the point of intersection of these two lines would give us the location of point O.

Drawing a line to the right of N and a vertical line below C, the point of intersection of these two lines which is point O has coordinates at (5,5).

Read more about Point Coordinates at; brainly.com/question/17206319

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Consider a rectangle with width of x units and an area of 10 square units. The length l of the rectangle can be modeled by the function f (x) = StartFraction 10 Over x EndFraction.

Answers

Answer:

When we have a rectangle of width W and length L, the area of this rectangle can be calculated as:

A = W*L

In this case we have:

W = x

L = 10/x.

Then the area of the rectangle will be:

A = W*L = x*(10/x) = 10

So the value of x cancels in the equation, which means that we can not find the value of x.

Now, as L = 10/x we can find some restrictions:

if x = 0, we would have L = 10/0

So we can not have x = 0.

And as W = x, this represents a positive measure, we also have that x can not be a negative number.

So the relation:

W = x

L = 10/x

Gives us all the possible combinations of width and length such that the area of the rectangle is exactly 10 square units.

Answer:

third graph

Step-by-step explanation:

Use scientific notation to estimate the number of inches in 1,225 miles. Include all calculations in your final answer. 1 inch ≈ 1.578 × 10 -^5 miles.

Answers

Answer:

7.763×10^7 inches

Step-by-step explanation:

$(1225\,mi)(1\,in)/(1.578\cdot 10^(-5)\,mi)=(12.25)/(1.578)\cdot 10^(2-(-5))\,in \approx 7.763\cdot 10^7\,in$

When writing 1225 in scientific notation, it is convenient to choose an exponent so that the division result comes out with the right scale factor. It is easy to see that 1.2 < 1.6, so use of numbers with exactly one digit to the left of the decimal point would result in a fraction as an answer. We want the answer to have 1 digit left of the decimal point, so by scaling the operands to be 12. and 1.6, we get that result. Of course, the powers of 10 are adjusted accordingly.

This scaling process only matters if you're computing the results by hand. Any calculator can properly keep track of the required exponents.

"Back in the day" when slide rules were the calculating tool of choice, the operands and answer to any multiplication or division problem were only shown as 3 (sometimes 4) significant digits. All of the power-of-ten scaling was done "by hand" (usually, mentally). That is, the division would be 1225/1578 ≈ 776 × some scale factor. This is where thinking of the numbers as 12.25/1.578 = 7.76 comes in handy.

What does interior angle A of the polygon in the figure equal?

Answers

Based on the attached image, the interior angle A of the polygon in the figure equal 110 degrees. If you can see the image the angle A is equal to the angle on the other side. The angle A is an example of obtuse angle because has the size of more 90 degrees and less than 180 degrees. All the angles in the image are obtuse except the one angle in the top that measures 50 degrees.

I can’t figure out how to solve this, can someone help? 5m-12=m