five players are each dealt 2 cards without replacement. (a) what is the expected value of the sum of all 10 cards?

Three or more line segments that only intersect at their ends form closed, two-dimensional shapes known as polygons.

A polygon is a closed, two-dimensional shape with straight sides that is flat or plane. It has straight sides. Polygons are a different category that belongs to the category of two-dimensional figures because two-dimensional (2D) figures are flat because they lack volume.

Polygons are flat 2D shapes that have straight lines and all lines are closed, meaning that they don't have any disconnected lines. Polygons are a subcategory of 2D figures because they carry all traits of 2D figures but also have special ones of their own. Examples of polygons are squares, rectangles, and triangles. Examples of nonpolygons but still are 2D figures are circles, ovals, and any other flat shape.

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Complete question

How can polygons be considered a subcategory of two-dimensional figures?

Answer:

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Step-by-step explanation:

Answer:

8 $20 bills

13 $100 bills

Step-by-step explanation:

x=# of $20 bills

y=# of $100 bills

x+y=21 --> y=-x+21

20x+100y=1460

20x+100(-x+21)=1460

20x-100x+2100=1460

-80x=-640

x=8

-8+21=13

y=13

Answer:

15⁰

Step-by-step explanation:

a straight line is 180⁰. 180-165=15

Step-by-step explanation:

Since a line is 180°, we can add 165 to x equal to 180

\(165+x=180\)

\(x=15\)

Hope that helps :)

Answer:

  18.1 feet

Step by step explanation:

You want to know how far Megan will have to kick a soccer ball to hit the crossbar of the goal when she is 15 feet from the goal and the angle of elevation to the crossbar is 34°.

To answer this question, we need to use the trigonometric formula, cos(angle of elevation) = adjacent/hypotenuse. In this case, we can solve for the hypotenuse (distance to be kicked) since the angle of elevation is given as 34° and the adjacent side (distance from the soccer ball to the goal) is given as 15 feet.

  cos(34°) = (15 feet)/(distance to be kicked)

  (distance to be kicked) = (15 feet)/cos(34°) ≈ (15/0.829) feet ≈ 18.1 feet

This gives us a distance of approximately 18.1 feet that Megan will have to kick the soccer ball to hit the crossbar.

Megan has tο kick the sοccer ball abοut 9.43 feet tο hit the tοp οf the gοal crοssbar.

The right-angled triangle's angle and the ratiο οf its twο side lengths are related by the trigοnοmetric functiοns, which are actual functiοns.

We can fοrm a right triangle with the sοccer ball, the tοp οf the gοal crοssbar, and a pοint directly belοw the tοp οf the gοal crοssbar (which we will call pοint A).

The angle οf elevatiοn frοm the sοccer ball tο the tοp οf the gοal crοssbar means that angle A is 34 degrees.

We alsο knοw that the distance between the sοccer ball and pοint A is 15 feet.

Using trigοnοmetry, we can find the length οf AB:

tan(A) = οppοsite/adjacent

tan(34) = AB/15

AB = 15 * tan(34)

AB ≈ 9.43 feet

Therefοre, Megan has tο kick the sοccer ball abοut 9.43 feet tο hit the tοp οf the gοal crοssbar.

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By graphing or visualizing the parabolic shape, we can observe where the graph intersects the x-axis, which represents the solutions to the equation. In this case, the solutions are x = -3 and x = 1.

To solve the quadratic equation x^2 + 2x - 3 = 0 by graphing, we can plot the graph of the equation and find the x-values where the graph intersects the x-axis.

First, let's rearrange the equation to the standard form: x^2 + 2x - 3 = 0.

We can create a graph by plotting points for different values of x and then connecting them. However, I can describe the process and the key points on the graph.

1. Find the x-intercepts: These are the points where the graph intersects the x-axis. To find them, set y (the equation) equal to zero and solve for x:

  0 = x^2 + 2x - 3.

  This quadratic equation can be factored as (x + 3)(x - 1) = 0.

  Therefore, x = -3 or x = 1.

2. Plot the points: Plot the points (-3, 0) and (1, 0) on the graph. These are the x-intercepts.

3. Draw the graph: The graph of the equation x^2 + 2x - 3 = 0 is a parabola that opens upward. It will pass through the x-intercepts (-3, 0) and (1, 0).

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The value of x is 14.

We know in an isosceles triangle an isosceles polygon is a polygon with at least two sides of equal length.

We have two sides measured 2x-9 and x+ 5.

From the figure the length of sides are equal then

2x-9 = x+ 5

2x- 9- x = 5

x-9 = 5

Add 9 to both sides of the equation:

x - 9 + 9 = 5 + 9

x= 14

Thus, the value of x is 14.

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Answer:

Volume = 7.912

Step-by-step explanation:

V = πr²h

V = 3.14 × 3/4 × 3/4 × 6 3/4 ( π = 22/7 or 3.14 )

V = 3.14 × 9/16 ×18/4

V = 3.14 × 0.56 × 4.5

V = 7.912

7½ – 4/7 ×7/8

= 15/2 – 1/2

= 7

Answer:

its 7

Step-by-step explanation:

For the information given in the statement you have

Then

Solving for x

Therefore, he must get 40 cups of yellow paint to make his orange paint mixture.

Answer:

x= 40 degree

y = 80 degree

Step-by-step explanation:

where is z?

Step-by-step explanation:

first you put it in degree mode by multiplying 9pi/8 by pi/180.

Answer:

The perimeter is the length of the outline of a shape. To find the perimeter of a rectangle or square you have to add the lengths of all the four sides.

10 cm + 12 cm + 5 cm + 6 cm

= 33 cm

Answer:

52%

Step-by-step explanation:

If 25% is the 100% only multiply 13 by 4 and thats it

Answer:

7,560 inches.

Step-by-step explanation:

Given: 7 in x 3 in x 6 in x 4 in x 15 in = ?

First, multiply 7 and 3:

21 in x 6 in x 4 in x 15 in

Then multiply 21 and 6:

126 in x 4 in x 15 in

Then multiply 4 and 15:

126 in x 60 in

Finally, multiply 126 and 60:

= 7,560 inches.

I think it is 10 miles.

I hope this helps! :)

Answer:

(4,0)

Step-by-step explanation:

You basically are plotting a point on the positive number 4 on the x line. Since they're only asking for an X and not a Y, you'd leave it as (4,0). Hope this helps!

Answer:

Step-by-step explanation:

el

Step-by-step explanation:

Area parallelogram = a×b×sin (x)

a, b = 6.7 ft and 5.6 ft

x = 152 degrees

so, we have

6.7×5.6×sin(152) = 37.52×sin(152) = 17.61457304... ft²

the rounded area is 17.6 ft².

Answer:

2.) the table represents a proportional relationship.

Step-by-step explanation:

each cups sold is 3x the amount of the earnings

The value of x coordinate be 0 or -2.

Given,

Vertex of the graph, f(x) = x² + 2x + 2

We have to find the x coordinate.

Here,

f(x) = x² + 2x + 2 is in the form of quadratic equation.

So, we can find x coordinate by using quadratic formula.

Quadratic formula: \(\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}\)

Here,

a = 1, b = 2 and c = 2

So,

\(\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}\)

= \(\frac{-2(+-)\sqrt{2^{2}-4(1)(2) } }{2(1)}\)

= \(\frac{-2(+-)\sqrt{4-8} }{2}\)

= (-2±(-√4)) ÷ 2

= (-2±(-2)) ÷ 2

Solve for.

-2 + (-2) / 2 = -2 -2 / 2 = -4/2 = -2

Solve for,

-2 - (-2) / 2 = -2 + 2 / 2 = 0

That is,

The value of x coordinate be 0 or -2.

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Answer:

31

Step-by-step explanation:

f(4) = 6x4 + 7

= 24 + 7

= 31

Answer:

9 integers between 2023 and 5757 that have 12, 20, and 28 as factors.

Step-by-step explanation:

An integer that has 12, 20, and 28 as factors must be divisible by the least common multiple (LCM) of these numbers. The LCM of 12, 20, and 28 is 420. So we need to find the number of integers between 2023 and 5757 that are divisible by 420.

The first integer greater than or equal to 2023 that is divisible by 420 is 5 * 420 = 2100. The last integer less than or equal to 5757 that is divisible by 420 is 13 * 420 = 5460. So the integers between 2023 and 5757 that are divisible by 420 are 2100, 2520, ..., 5460. This is an arithmetic sequence with a common difference of 420.

The number of terms in this sequence can be found using the formula for the nth term of an arithmetic sequence: an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, d is the common difference, and n is the number of terms. Substituting the values for this sequence, we get:

5460 = 2100 + (n - 1)420 3360 = (n - 1)420 n - 1 = 8 n = 9

So there are 9 integers between 2023 and 5757 that have 12, 20, and 28 as factors.

Answer:

D. -2/5

Step-by-step explanation:

Slope=  \(\frac{delta Y}{Delta X} =\frac{-2}{5}\)

Answer:

D

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 1, 4) and (x₂, y₂ ) = (14, - 2)

m = \(\frac{-2-4}{14+1}\) = \(\frac{-6}{15}\) = - \(\frac{2}{5}\) → D

Answer:

Step-by-step explanation:

caca

Answer:

D

Step-by-step explanation:

Answer:

It should be 42.4

Answer:

she has 6 more yellow ribbons

Answer:

x = 3/2 or x = -1

Step-by-step explanation:

2x² - x - 3 = 0

2*(-3) = -6

Factors of -6:

(-1, 6), (1, -6), (-2, 3), (2, -3)

We need to find a pair that adds up to the co-eff of x which is (-1)

Factors :(2,-3)

2 - 3 = -1

so, 2x² - x - 3 = 0 can be written as:

2x² + 2x - 3x - 3 = 0

⇒ 2x(x + 1) -3(x + 1) = 0

⇒ (2x - 3)(x + 1) = 0

⇒ 2x - 3 = 0 or

x + 1 = 0

⇒ 2x = 3 or x = -1

⇒ x = 3/2 or x = -1

175 yards long is the 15th hole if the map shows 17.5 inches.

hole = c yards

1.5 / 15 = 17.5 / c

1.5 c = 15 * 17.5

1.5 c = 262.5

c = 175 yards

A length unit equal to 36 inches, or 3 feet (see foot), in the United States Customary System, or 0.9144 metre in the International System of Units. A cloth yard is 37 inches long, and it was also the standard length for arrows.

The yard is an English unit of length that equals 3 feet or 36 inches in both the British imperial and US customary measurement systems. Since 1959, it has been standardized as 0.9144 meter by international agreement. One mile is equivalent to 1,760 yards. The survey yard in the United States is slightly longer.

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Answer:

56/100 = (23 × 7)/(22 × 52) = ((23 × 7) ÷ 22)/((22 × 52) ÷ 22) = 14/25

5/10 = 5/(2 × 5) = (5 ÷ 5)/((2 × 5) ÷ 5) = 1/2

Step-by-step explanation: