Using diagonals from a common vertex, how many triangles could be formed from the polygon pictured below?

Answer:

Step-by-step explanation: The answer is 1/2. This is on the Odyssey online Algebra 2 mastery test.

The average rate of change of function g over the interval [-4, 3] will be;

⇒ 1/2

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The function g is,

⇒ g (x) = 5 / (x - 1) + 2

And, The interval is,

⇒ [ - 4, 3 ]

Now,

We know that;

The average rate of change of function at interval [a, b] is,

⇒ f (b) - f (a) / (b - a)

So, The average rate of change of function g over the interval [-4, 3] is,

⇒ g (3) - g (- 4) / (3 - (- 4))

Here, The function g is,

⇒ g (x) = 5 / (x - 1) + 2

Put x = 3;

⇒ g (3) = 5 / (3 - 1) + 2

           = 5/2 + 2

           = 4.5

Put x = - 4;

⇒ g (-4) = 5 / (- 4 - 1) + 2

            = 5 / - 5 + 2

            = - 1 + 2

            = 1

So, WE get;

The average rate of change = (4.5 - 1) / 7

                                           = 3.5 / 7

                                           = 1/2

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Answer:

Step-by-step explanation:

50 meters away

Answer:

108.75 m^2

Step-by-step explanation:

Area of a rectangle = length x breadth

15 x 7 1/4

15 x 29 / 4 = 108.75 m^2 or 108 3/4 m^2

Answer:

Width of the rectangular banner is [tex]3\frac{5}{6}[/tex] ft.

Step-by-step explanation:

Area of the rectangular banner = [tex]2\frac{7}{8}[/tex] square feet

                                                    = [tex]\frac{23}{8}[/tex] square feet

Area of rectangle is given by,

Area = Length × Width

Length of the banner = [tex]\frac{3}{4}[/tex] feet

From the formula,

[tex]\frac{23}{8}=\frac{3}{4}\times W[/tex]

W = [tex]\frac{\frac{23}{8} }{\frac{3}{4} }[/tex]

    = [tex]\frac{23}{8}\times \frac{4}{3}[/tex]

    = [tex]\frac{23}{6}[/tex]

     = [tex]3\frac{5}{6}[/tex] ft

Therefore, width of the rectangular banner is [tex]3\frac{5}{6}[/tex] ft

Answer:

It returns the angle whose cosine is a given number.

Step-by-step explanation:

For every trigonometry function, there is an inverse function that works in reverse. These inverse functions have the same name but with 'arc' in front. (On some calculators the arccos button may be labeled arccos, or sometimes cos-1.) So the inverse of cos is arccos etc. When we see "arccos x", we understand it as "the angle whose cosine is x"

cos30 = 0.866 Means: The cosine of 30 degrees is 0.866

arccos 0.866 = 30 Means: The angle whose cosine is 0.866 is 30 degrees.

Use arccos when you know the cosine of an angle and want to know the actual angle.

Answer:

10c + 5b + 420 + 4c

Step-by-step explanation: 10 dollars for each child, 5 dollars per a pair of rubber boots, party room is 420 and 4 is per each child's pizza

Answer:

45 points

Step-by-step explanation:

40/100=18/x    equation

100×18=1800     multiply

1800÷40=45     divide

x=45 points

Answer:

48 points

Step-by-step explanation:

I took the test

Answer:

Step-by-step explanation:

The following statements are true:

1.  A quadratic function can have up to two x-intercepts.

2.  An x-intercept of a quadratic function is also called a zero of the function

Answer:

172.8 = 32 x 5.40

Step-by-step explanation:

I'm sorry but i can't really see the picture

Answer:

1/4

Step-by-step explanation:

Answer:

240 cubes

Step-by-step explanation:

A toy company uses the Box shown below to package wooden cubes each wooden Cube has a volume of 1/8 cubic feet in total how many wooden cubes will fit in the Box

Volume of the box = length × width × height

= 5 ft × 3 ft × 2 ft

= 30 ft³

Volume of wooden cube = 1/8 ft³

how many wooden cubes will fit in the box.

Number of wooden cubes that will fit in the box = volume of the box ÷ volume of the wooden cube

= 30 ft³ ÷ 1/8 ft³

= 30 × 8/1

= 240 cubes

Number of wooden cubes that will fit in the box = 240 cubes

Answer:

Step-by-step explanation:

May I please see the graph?

Answer:

It's 372 in³

Step-by-step explanation:

A rectangular prism's volume is l x w x h right? So there are 2 rectangular prisms. So just add the volume of 2 rectangular prisms (12 x 4 x 4 + 12 x 3 x 5 = 372 in³

Answer:

I’m going in the order form up to down

1) Total cost is $15.60 (you multiply the unit rate by the quantity to find the total cost)

2) Unit rate is $13.20 (You divide the total by the quantity to find the unit rate)

3) Quantity is 6 (You divide the total by the unit rate to find the amount of things or quantity)

4) 12 percent tax rate (We can make an eqaution to find out how much you multiply thr total to find the tax rate by doing 82.5x=9.9. THe result would be 0.12 or 12 percent)

Answer:

25

Step-by-step explanation:

Answer:

Answer: 1/9

Step-by-step explanation:

(27^1/3 = 3

9^1/2 = 3

3^b

====

3^a

3^(b - a)

3^-2 = 1/9

1/9

Answer:

[tex]1205.8 \: {in}^{3} [/tex]

Step-by-step explanation:

For given cylinder:

Radius (r) = 4 in

Height (h) = 24 in

[tex]V_{cylinder} =\pi {r}^{2} h \\ \\ = 3.14(4)^{2} (24) \\ \\ = 1,205.76 \\ \\ \approx 1205.8 \: {in}^{3} [/tex]

Answer:

A=a2

Step-by-step explanation:

Answer:

a.) her loss is 5 dollars

b.) her profit is 10 dollars

c.) she should sell them for $0.15

Answer:

52 feet

Step-by-step explanation:

distance is 6 from the question

6 = 5/6 √h

6/5 (6) = √h

36/5 = √h

7.2 = √h

7.2x7.2 = h

h = 51.84

this is Apx huh?

Answer: Strange? Formulas of spheres dont have height. So with height is 1607,68 and without the height its 268.08

Step-by-step explanation:

301,71 cm ^3

hope this helps have a good day or night

Answer:

ab(28) or 28ab

Step-by-step explanation:

13ab + 15ab = 28ab

Answer:

ab(28) or 28ab

Step-by-step explanation:

Answer:

It is correct!!

Step-by-step explanation: