Which inequality does the graph
represent?
y

−2 O 2 x
2

−2

The area of the sector is 188.9 km².

A sector is a plane figure enclosed by two radii and an arc between them.

To calculate the area of the sector, we use the formula below.

Formula:

Where:

From the diagram,

Given:

Substitute these values into equation 1

Hence, the area of the sector is 188.9 km².

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There are 3060 ways the club send 4 students to the next debate if there are 18 students on the debate club.

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

We have the total number of students = 18

The number of ways the club send 4 students to the next debate is:

= C(18, 4)

[tex]= \rm \dfrac{18!}{4!(18-4)!}[/tex]

= 3060

Thus, there are 3060 ways the club send 4 students to the next debate if there are 18 students on the debate club.

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prolly 4.36 just use the Pythagorean theorem

Answer:

-18 + x = 11

x = 29

Step-by-step explanation:

To solve this, you can use the formula of a + b = c

[tex]-18 + x = 11\\-18 = 18\\11 + 18 = 29\\x = 29[/tex]

Answer:

29

Step-by-step explanation:

Your equation can be -18+x=11. Since we don't know the number, we can use x. We are trying to find out a number that when it's added to -18, the answer will be 11.

Now, we solve the equation:

-18+x=11

x=11+18

x=29. Answer

To check this answer:

we can use our equation and substitute 29 for x.

-18+x=11

-18+(29)=11

11=11.

They are equal. Therfore, the answer is correct.

Answer:

First answer:

A

Second answer:

I think A

Answer:

A and B

Step-by-step explanation:

1

the volume (V) of a rectangular prism is calculated as

V = lwh ( l is length, w is width, h is the height )

  = Bh ( B is the area of the base )

2

the volume of a cone is [tex]\frac{1}{3}[/tex] the volume of a cylinder with the same base area (B) and height (h)

Answer:

scale factor = [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

the scale factor is the ratio of corresponding sides, image to original, so

scale factor = [tex]\frac{V'W'}{VW}[/tex] = [tex]\frac{1}{5}[/tex]

Answer:

z = 10

Step-by-step explanation:

simplify to

2z + 10 + 5z + 10 = 10z-10

2+5z-10z=-10-10-10

-3z = -30

z = 10

give brainiest please!

hope this helps :)

Answer:

z = 10

Step-by-step explanation:

Distribute:

(2z + 5) + 5(z + 2) = 10(z - 1)

2z + 10 + 5(z + 2) = 10(z - 1)

and distribute again:

2z + 10 + 5(z + 2) = 10(z - 1)

2z + 10 + 5z +10 = 10(z - 1)

and add the 2 tens that are in bold.

2z + 10 + 5z +10 = 10(z - 1)

2x + 20 + 5z = 10(z-1)

Theres a lot more steps but just

comebine like terms

Distribute

Stubtract 20 from both sides

simplify

subtract 10z from both sides

simplfy

divide both sides by the same factor

and simplfy.

Answer: 1:0.75

Step-by-step explanation:

Ratio 4 to 3 = 4:3

Simplified Ratio 4.00:3.00

Ratio in Form 1:n 1:0.75

Ratio in Form n:1 1.33:1

Answer:

2 months

Explanation:

50 - 40 = 10

25-20 = 5

10/5 = 2

The months for which Joey have to belong to each before the costs are the same are 2 months.

Equation modelling is a method of writing a mathematical relation from a mathematical statement for mathematical analyses of the problem given.

Given is different fees structure of two gyms →  Gym A has a $40 sign up fee and it costs $25 per month. Gym B has a $50 sign up fee and costs $20 per month.

Assume that the months for which Joey have to belong to each before the costs are the same be x.

Then -

For Gym A -

Total cost for x months = C[A] = 25x + 40

For Gym B -

Total cost for x months = C[B] = 20x + 50

For same cost -

C[A] = C[B]

25x + 40 = 20x + 50

25x - 20x = 50 - 40

5x = 10

x = 2

Therefore, the months for which Joey have to belong to each before the costs are the same are 2 months.

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Answer: D

Step-by-step explanation:

As the measure of the 75 degree angle is less than the measure of the 80 degree angle, rule out RS.

Also, the two triangles with the 80 degree angle are congruent, so PQ=QR.

This leavesc us with SP

Answer:

1. c. statistical inference

19. d. statistical inference

20. b. relative frequency distribution

Answer:

11,800 lb

Step-by-step explanation:

dnt worry i got my wayz :)

Answer:

11,800 lbs

Step-by-step explanation:

5.9x2,000=11,800

Answer:

Mean: 4.7

Mode: 2

Median: 4.5

Step-by-step explanation:

Step-by-step explanation:

since there is triangle , you use the formula

1/2 × b × h

as you can see the base is 6 and the height is 4, so

1/2 × b × h

= 1/2 × 6 × 4

=12

12 × 2 = 24 , you times by 2 because there is 2 triangle

There is also rectangle in the diagram, so you use the formula , length × breadth , the length is 8 and the breadth is 5, so

length x breath

= 5 × 8

=35

35 × 2 = 70 , times by 2 because you can see 2 rectangles with the same length and breadth

length x breath

= 8 × 6

= 48

this one is different because the length is 8 and the breadth is 6.

SA = 48 + 35 + 24

= 107 cm ²

Sorry for my bad eng ,its not my first language.

Answer:

6

Step-by-step explanation:

I use the information I from my Nathan teacher

Answer: 17.2

Step-by-step explanation:

By the Pythagorean theorem,

[tex]10^{2}+14^{2}=(AC)^{2}\\\\(AC)^{2}=296\\\\AC=\sqrt{296} \approx \boxed{17.2}[/tex]

i cant help you with that bc there is no graph so...

Answer: The answer will be 19

Answer: 23 years old

Step-by-step explanation:

Answer:

Part A:

In order to find a coterminal angle, or angles of the given angle, simply add or subtract 360 degrees of the terminal angle as many times as possible.

Part B:Simply put, coterminal angles start at 0° and end at the same place, though in different directions and multiple times around (you're probably going to want to make that sound a little more formal). Since each time around is 360°, boom

Part C: 75° is in Quadrant II, right? If I go one more time around, 75 + 360 = 435°. I can also go "backward. Starting at 0 and going clockwise, I'm going 75 fewer degrees than all the way around, so 360-75 = 285° but since I'm going "backward" 75 - 360 = -285°. One more is on you.

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]1) \overline{BA} \cong \overline{BC}, \overline{DA} \cong \overline{EC} \text{ (given)}\\2) \overline{BD} \cong \overline{BE}[/tex]  (congruent segments subtracted from congruent segments form congruent segments)

The given figure is quadrilateral, parallelogram, and a  rhombus but not a square. So brett is not correct.

A square is a quadrilateral with all the sides equal and all the four sides are perpendicular to each other.

We know that it is a quadrilateral as a quadrilateral is having four sides and the sum of the angles is 180 degrees.

The given figure is a parallelogram as opposite sides of the figure are parallel and equal.

The given figure is a rhombus as all the sides are parallel and equal.

The given figure can not be a square as in the square all the four sides are perpendicular to each other.

Therefore given figure is quadrilateral, parallelogram, and a  rhombus but not a square. So brett is not correct.

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Answer:

x = -20/9

Step-by-step explanation:

First we need to distribute this equation 4(4x+1) = 3x-4(6-x)+8. After distributing we get 16x+4 = 3x-24+4x+8. Next we add like terms to get 16x+4 = 7x-16. Now subtract 7x on both sides to get 9x+4 = -16. Now subtract -4 on both sides to get 9x = -20. Now divide by 9 on both sides to get x= -20/9.

Hope that helps! :)

Answer:

D

Step-by-step explanation:

Reflection over the X-axis

All point passes, (x,-y)

Answer:

D.

Step-by-step explanation:

Reflection over the x-axis because the quadrilateral reflected.

Answer:

Rhombus

Step-by-step explanation:

Sides are parallel but have no right angles.

Answer:

  parallelogram

Step-by-step explanation:

Opposite sides of the figure have the same slope (0 or 5/2), so are parallel. The product of the slopes is not -1, so the angles are not right angles. Adjacent sides are different lengths, so the figure is not a rhombus.

__

The figure is a parallelogram.

_____

Additional comment

The slope is the "rise" (change in y-coordinate) of the segment divided by its "run" (change in x-coordinate). The left and right sides have a rise of 7-2 = 5, and a run of 6-4 = 2 -0 = 2. Their slope is 5/2.

The top and bottom sides have a rise of 0, so a slope of 0.

When the product of the slopes of different segments is -1, those segments are perpendicular. The perpendicular to a horizontal line has "undefined" slope, so the product of the slopes would be (0)×(undefined). This is a special case of perpendicular lines where the product of slopes is not -1.

Answer:

[tex]p\left( A|B\right) =0[/tex]

Step-by-step explanation:

Formula:

[tex]p\left( A|B\right) =\frac{p\left( A\cap B\right) }{p\left( B\right) }[/tex]

The only prime outcome is 3

Then

The set A = {3}

1 and 2 are the divisors of 2

Then

The set B = {1 , 2}

Therefore , p(A∩B) = 0

Also p(B) = 0.4+0.1 = 0.5

[tex]\Longrightarrow p\left( A|B\right) =\frac{0 }{0.5 }=0[/tex]

The height of the skyscraper is 177.51 m which is 331 m from the base of skyscraper.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Here, h₀ = 1.52 m,      angle of elevation = 28⁰

         d = 331 m

Now, tan 28⁰ = h/d

         h = d. tan 28⁰

         h = 331 X 0.5317

         h = 175.99 m

Total height = h + h₀

                    = 175.99 + 1.52

                    = 177.51 m

Thus, the height of the skyscraper is 177.51 m which is 331 m from the base of skyscraper..

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Answer:

Step-by-step explanation:

The answer is 177.5 dont add the .1

I assume by f¹, you actually mean f⁻¹ as in the inverse of f. I also assume you are asked to find f(x) (as in the inverse of f⁻¹) and f⁻¹(4).

Given that

[tex]f^{-1}(x+2) = \dfrac{x-1}{x+1}[/tex]

with x ≠ 1, we can find f⁻¹(x) by replacing x + 2 with x :

[tex]f^{-1}(x + 2) = \dfrac{x-1}{x+1} = \dfrac{(x+2) - 3}{(x + 2) - 1} \implies f^{-1}(x) = \dfrac{x-3}{x-1}[/tex]

Then when x = 4, we have

[tex]f^{-1}(4) = \dfrac{4-3}{4-1} = \dfrac13[/tex]

Of course, we also could have just substituted x = 2 into the definition of f⁻¹(x + 2) :

[tex]f^{-1}(4) = f^{-1}(2+2) = \dfrac{2-1}{2+1} = \dfrac13[/tex]

To find f(x), we fall back to the definition of an inverse function:

[tex]f^{-1}\left(f(x)\right) = x[/tex]

Then by definition of f⁻¹, we have

[tex]f^{-1}\left(f(x)\right) = \dfrac{f(x)-3}{f(x)-1} = x[/tex]

Solve for f :

[tex]f(x) - 3 = x (f(x) - 1)[/tex]

[tex]f(x) - 3 = x f(x) - x[/tex]

[tex]f(x) - x f(x) = 3 - x[/tex]

[tex](1 - x) f(x) = 3-x[/tex]

[tex]f(x) = \dfrac{3-x}{1-x} = \dfrac{x-1}{x-3}[/tex]