In 16-19, use the equations to compete the tables. (Picture provided)

Answer:

The Brooks conjecture is true as the proportion of the area of a sector to the area of a circle is only dependent on the angle.

Step-by-step explanation:

The area of a sector for a radius r and an angle θ is given as

[tex]\Delta Sector=\dfrac{1}{2}r^2\theta[/tex]

Whereas the area of a circle for a radius r is given as

[tex]\Delta Circle=\pi r^2[/tex]

Now the ratio is given as

[tex]\dfrac{\Delta Sector}{\Delta Circle}=\dfrac{\dfrac{1}{2}r^2\theta}{\pi r^2}[/tex]

Here as r is the radius of the circle and it is the same therefore the above ratio is simplified to

[tex]\dfrac{\Delta Sector}{\Delta Circle}=\dfrac{\theta}{2\pi }[/tex]

Here as π is constant the only variable here is θ. Thus according to Brooks conjecture when the angles are equal, the proportion of area of each sector relative to the area of the given circle is also equal is true.

Answer:

The lowest temperature ever recorded in Pennsylvania, −42 °F (−41 °C), was at Smethport on January 5, 1904. Yes this is a statistical question.

Step-by-step explanation:

A statistical question is a question that can be answered by collecting data that vary. For example, “How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question. So if you collect data from Pennsylvania's weather over the years you will find that the lowest temperature EVER RECORDED in Pennsylvania was −42 °F (−41 °C), at Smethport on January 5, 1904. Oh and one last thing..."WHY DO ALL THE MONSTERS COME OUT AT NIGHT WHY DO WE SLEEP OFF WHAT WE WANT TO HIDE WHY DO I RUN BACK TO LIKE I DON'T MIND IF YOU RUIN MY LIFE!" -Monsters by All Time Low....it just popped into my head bc your question said All Time Low lol Byeee~!

Answer:

3

Step-by-step explanation:

Use scale factor

6/q=8/4

Answer:

g > -6

Step-by-step explanation:

-6(g+4) < 12 (Given)

-6g - 24 < 12 (Distributive Property of Inequality)

-6g < 36 (Addition Property of Inequality)

g > -6 (Division Property of Inequality)

Sign Changes Since it was divided by a Negative number.  

Answer:

175/1000

Step-by-step explanation:

The last number of .175 is in the thousandth place, therefore, the denominator must be 1000, and .175, is 175/1000 of 1000.

If you want to simplify it all the way it would be 7/40.

Answer:

A

Step-by-step explanation:

The vertex of a parabola lies on the axis of symmetry.

Answer:

4) 18.8

Step-by-step explanation:

What we are trying to find is the opposite of the triangle with the angle and the hypotenuse. The equation for that is sin(degrees) = opp/hyp

the degrees is 70, the opposite is x, and the hypotenuse is 20

sin(70) = x/20

0.93969262078 = x/20

18.7938524 = x

18.7938524 rounds to 18.8 so the answer is 4

Answer:

3.3 for pepper and 2.7 for salt which is 6 tons in total

Step-by-step explanation:

The number of tons of hay both Salt and Pepper eat in a year is 5.5 tons.

Given that, every month, Salt eats 450 pounds of hay. Pepper is bigger, so he eats 550 pounds of hay each month.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Number of pounds of hay eaten by Salt in a year

= 450 × 12

= 5400 pounds

Number of pounds of hay eaten by Pepper in a year

= 550 × 12

= 6600 pounds

Total pounds of hay eaten by both the horses = 5400+6600

= 11000 pounds

In tons = 11000/2000

= 5.5 tons

Therefore, the number of tons of hay both Salt and Pepper eat in a year is 5.5 tons.

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Answer:

X=5

Step-by-step explanation:

3x+4=5x-6

3x+10=5x

10=2x

5=x

Answer:

21m of high of diagram ok

Answer:

the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values.

Answer:

-8x² - 9x + 9

Step-by-step explanation:

(2x² - 5x + 1) - (10x² + 4x - 8)

2x² - 5x + 1 - 10x² - 4x + 8

2x² - 10x² - 5x - 4x + 1 + 8

-8x² - 9x + 9

9514 1404 393

Answer:

  4

Step-by-step explanation:

The slope of L1 is given by the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (5 -1)/(-2 -(-3)) = 4/1 = 4

The slope of L2 is the same as the slope of L1. The slope is 4.

Answer:

outcome for rock = 21/60 = 7/20

outcome for rap = 3/20

outcome for dance = 3/10 or 6/20

outcome for country 1/5, 2/10 or 4/20

Step-by-step explanation:

possible outcomes = 21+9+18+12 = 60

outcome for rock = 21/60 = 7/20

outcome for rap = 3/20

outcome for dance = 3/10 or 6/20

outcome for country 1/5, 2/10 or 4/20

The probability of playing a rap song is 3/20.

Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.

For the given situation,

0.71 An MP3 player has 60 songs.

The sample space is the number of songs stored in MP3 player.

⇒ [tex]n(s)=60[/tex]

Number of rock songs, [tex]n(rock)=21[/tex]

Number of rap songs, [tex]n(rap)=9[/tex]

Number of dance songs, [tex]n(dance)=18[/tex]

Number of country songs, [tex]n(country)=12[/tex]

Formula for the probability of an event is [tex]P(e)=\frac{n(e)}{n(s)}[/tex]

Probability of playing a rock song, [tex]P(rock)=\frac{21}{60}[/tex]

⇒ [tex]\frac{7}{20}[/tex]

Probability of playing a rap song, [tex]P(rap)=\frac{9}{60}[/tex]

⇒ [tex]\frac{3}{20}[/tex]

Probability of playing a dance song, [tex]P(dance)=\frac{18}{60}[/tex]

⇒ [tex]\frac{9}{20}[/tex]

Probability of playing a country song, [tex]P(country)=\frac{12}{60}[/tex]

⇒ [tex]\frac{1}{5}[/tex]

Hence we can conclude that the probability of playing a rap song is 3/20.

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Answer:

-162

Step-by-step explanation:

x²+24x-18=x²+24x+12²-12²-18=(x+12)²-162

(x+12)²≥0

(x+12)²-162≥-162

⇒ the minimum value of the function is -162

Answer:

The answer is "[tex]0.22\ \frac{\ fl \ oz}{\ hours}\\\\[/tex]"

Step-by-step explanation:

rate[tex]=\frac{91 \ fl oz}{2.5 \ weeks}\\\\[/tex]

Requird

Calculating the rate as per hour:

[tex]rate=\frac{91 \ fl oz}{2.5 \ weeks}\\\\[/tex]

there are 168 hoours in week so the ate becomes

[tex]rate=\frac{91 \ fl oz}{2.5 \times 168 \ hours}\\\\[/tex]

       [tex]=\frac{91 \ fl oz}{420 \ hours}\\\\= 0.2167 \ \frac{\ fl \ oz}{\ hours}\\\\[/tex]

        [tex]=0.22 \ \ \frac{\ fl \ oz}{\ hours}\\\\[/tex]

Answer:

A

Step-by-step explanation:

You pay for each round a ticket so the variable will be with 6.25

Answer:

10

Step-by-step explanation:

First substitute x for 2

3(2) + 4

6+4

10  When x is 2 f = 10

Answer:

hahahahahahahahahahahhahahahahahhahahahahahahahahhahahahahahahahahahahhahahahahahahahahhahahahahahahahahhahahwhwhwhwhwhwhahahahahhahahahhahahahahahahahahhahahahahahahahahahahahahahahhahahahahahahahahahahahahahhahahahahahahahahahahhahahahahahhahahahahahahahahahhahahahahahahahhahahahahahahahhahahahahahahahhahahahahhahahahahahah

Answer:

Angle 8 = 100 degrees

Step-by-step explanation:

Angle 2 = Angle 8

Because, they are alternate exterior angles.

Answer:

8 steps can be cut

Step-by-step explanation:

20 ÷ 2.5 = 8

Answer:

you can figure out the exterior angle if you add the two angles that are not touching it

Step-by-step explanation:

so 64 + 76 = 140

K=140

Answer:

[tex]94.6ft^{2}[/tex]

Step-by-step explanation:

[tex]A=\frac{(bx_{1}+bx_{2} )h }{2}[/tex]

[tex]A=\frac{(7.7+14.3)(8.6)}{2}[/tex]

[tex]answer:- 94.6 ft^{2}[/tex]

[tex]---------[/tex]

hope it helps...

have a great day!!

Answer:

area = 94.6 ft.sq

Step-by-step explanation:

here's your solution

==> area of trapezium = 1/2*(sum of parrel side)*distance between them

==> area of trapezium = 1/2(7.7 + 14.3)*8.6

==> area of trapezium = 1/2*22*8.6

==> area = 11*8.6

==> area = 94.6 ft.sq

hope it helps

Answer: m = 3/4

Step-by-step explanation:

Answer: The slope is 3/4

Step-by-step explanation:

Use y2-y1/x2-x1 to find it

Answer:

240 bananas

Step-by-step explanation:

You would need 8 sets of figs. 10 coconuts is equal to 25  figs so you need 80 coconuts. You would need enough bananas to get 4 sets of coconuts. 60*4 = 240

Answer:

To buy the boat you would need 240 bananas.

Explanation:

3 bananas = 1 coconut

1 coconut = 2.5 figs

200 figs (price of boat) = 80 coconuts

80 coconuts (price of boat) = 240 bananas