9.2 HW Central Angles, Arc Measures, & Arc Length

Answer:

I think it may be 114.

Step-by-step explanation:

Answer: 16

Step-by-step explanation:

Answer:

2x-4=10

2x=14

x=7

2. 3x+3=2x-1

3x-2x=-1-3

x=-4

3. 7x+x=24

8x=24

x=3(

4. 5+x=-18

x=-18-5

x=-23

5. -14=10-6x

6x=10+14

6x=24

x=4

6. 2x-2=x+12

2x-x=12+2

x=14

7. 3x-31=2

3x=2+31

3x=33

x=11

8. 5x-14=16

5x=16+14

5x=30

x=6

9. 2x+8=4(5-x)

2x+8=20-4x

2x+4x=20-8

6x=12

x=2

10. 2x-3=3(1+x)

2x-3=3+3x

2x-3x=3+3

-x=6

Answer:

f(2) = 12

f(x) = 7, x = -3, 1

Step-by-step explanation:

a)

plug in x as 2

f(x) = 2^2 + 2(2) + 4

f(x) = 4 + 4 + 4

f(x) = 12

b)

replace f(x) with 7

7 = x^2 + 2x + 4

x^2 + 2x - 3 (move 7 to other side)

Factor

ac: -3x^2

b: 2x

split b into 3x, -x

(x^2 -x) + (3x - 3)

    ↓             ↓

  x(x-1)  +  3(x-1)

Factor: (x-1)(x+3) = 0

Solve using Zero Product Property:

x - 1 = 0, x + 3 = 0

x = 1, x = -3

Answer:

(4,4)

Step-by-step explanation:

1+3=4

3+1=4

(4,4)

Answer:no the -2/3 should be before -1/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

-2/3 , -1/5 , 2/4

Answer:

C(x,y) = (-28,13)

Step-by-step explanation:

If co-ordinates of points A(x1,y1) and (x2,y2) and C is the external point that divides the line AB in ratio m:n then,

[tex]C (x,y) = \frac{mx_2-nx_1}{m-n} , \frac{my_2-ny_1}{m-n}[/tex]

Given: A (-6, 3) & B (5, -2) in ratio 2 : 3

Substituting these values in above formula to C(x,y)

C (x,y) = \frac{2\times5-3(-6)}{2-3} , \frac{2(-2)-3(3)}{2-3}

Solving we get

C(x,y) = (-28,13)

Answer:

The answer is A on Edge or Image with a Circle what is not shaded in

Step-by-step explanation:

The graph of an inequality (x + 5)² + (y - 2)² ≥ 9 is the set if all points on the circle (x + 5)² + (y - 2)² = 3² and outside the circle.

"It is a mathematical statement of an order relationship (greater than, greater than or equal to, less than, or less than or equal to) between two algebraic expressions."

"It is a set of all points on the coordinate plane that follows given function."

"The equation of circle centered at (h, k) and radius 'r' is,

(x - h)² + (y - k)² = r² "

For given question,

We have been given an inequality (x + 5)² + (y - 2)² ≥ 9

We know the equation (x + 5)² + (y - 2)² = 9 would represent the equation of circle.

Comparing equation (x + 5)² + (y - 2)² = 3² with the standard form of circle,

We have r = 3, h = -5 and k = 2

This means, an equation (x + 5)² + (y - 2)² = 3² represents a circle with center at (-5, 2) and radius 3.

The solution to an inequality (x + 5)² + (y - 2)² ≥ 9 is the set if all points on the circle (x + 5)² + (y - 2)² = 3² and outside the circle.

The graph of an inequality (x + 5)² + (y - 2)² ≥ 9 is as shown below.

Therefore, the graph of an inequality (x + 5)² + (y - 2)² ≥ 9 is the set if all points on the circle (x + 5)² + (y - 2)² = 3² and outside the circle.

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Answer:

6.24 is the answer rounded to the nearest hundreth

Answer: Exact form is 83 over 6 In decimal form it is 13.83 with a line on top of the 3 and mixed number form it is 13  5 over 6

Answer:

17 units

Step-by-step explanation:

Going from one point to the other, the change in x is 15 and that in y is 8.  Therefore, applying the Pythagorean Theorem,

distance = √(225 + 64) = √289 = 17

The distance between the two points is 17 units.

Answer:

Distance = √(x2 - x1)² + √(y2 - y1)²

Distance = √(7 - (-8))² + √(8 - 0)²

Distance = √(7 + 8)² + √(8)²

Distance = √(15)² + √(8)²

Distance = √(225 + 64)

Distance = √(289)

Distance = 17 unit

[tex] \\ [/tex]

Answer:

24 cm

Step-by-step explanation:

For square's to be congruent they must be exactly the same. Also, since squares must have 4 equal sides, both the length and width of the canvas must be divided by the same number in order to give us the longest side. Therefore, since the smallest number we can divide both the width and length by is 2 we are left with 4 equal squares with a size of 18 x 24. Therefore, the longest side length would be 24 cm.

Answer:

3 grams

Step-by-step explanation:

1.  820*26.8%=219.76

820-219.76=600.24

2.  600.24*26.8%=160.86432

600.24-160.86432=439.37568

3.  439.37568*26.8%=117.752682

439.37568-117.752682=321.622998

4.  321.622998*26.8%=86.1949635

321.622998-86.1949635=235.428034

5.  235.428034*26.8=63.0947131

235.428034-63.0947131=172.333321

6.  172.333321*26.8%=46.18533

172.333321-46.18533=126.147991

7.  126.147991*26.8%=33.8076616

126.147991-33.8076616=92.3403294

8.  92.3403294*26.8%=24.7472083

92.3403294-24.7472083=67.5931211

9.  67.5931211*26.8%=18.1149565

67.5931211-18.1149565=49.4781646

10.  49.4781646*26.8%=13.2601481

49.4781646-13.2601481=36.2180165

11.  36.2180165*26.8%=9.70642842

36.2180165-9.70642842=26.5115881

12.  26.5115881*26.8%

26.5115881-7.10510561=19.4064825

13.  19.4064825*26.8%=5.20093731

19.4064825-5.20093731=14.2055452

14.  14.2055452*26.8%=3.80708611

14.2055452-3.80708611=10.3984591

15.  10.3984591*26.8%

10.3984591-2.78678704=7.61167206

16.  7.61167206*26.8%

7.61167206-2.03992811=5.57174395

17.  5.57174395*26.8%=1.49322738

5.57174395-1.49322738=4.07851657

18.  4.07851657*26.8%=1.09304244

4.07851657-1.09304244=2.98547413

2.98547413

3

Too much ;-;

Answer:

The ball will be at a height of 3 feet above the ground after 3.729 seconds.

Step-by-step explanation:

Let suppose that the tennis player has hit the ball vertically, meaning that ball will experiment a free fall, that is, an uniform accelerated motion due to gravity. The time taken by the ball in terms of its initial velocity ([tex]v_{o}[/tex]), in feet per second, initial position ([tex]x_{o}[/tex]), in feet, final position ([tex]x[/tex]), in feet, and gravitational acceleration ([tex]g[/tex]), in feet per square second is described by this second order polynomial:

[tex]x = x_{o} + v_{o}\cdot t + \frac{1}{2}\cdot g\cdot t^{2}[/tex] (1)

If we know that [tex]x_{o} = x = 3\,ft[/tex],  [tex]v_{o} = 60\,\frac{ft}{s}[/tex] and [tex]g = -32.174\,\frac{ft}{s^{2}}[/tex], then the time needed by the ball to be at a height of 3 feet again is:

[tex]3\,ft = 3\,ft + \left(60\,\frac{ft}{s} \right)\cdot t + \frac{1}{2}\cdot \left(-32.174\,\frac{ft}{s^{2}} \right)\cdot t^{2}[/tex]

[tex]-16.087\cdot t^{2}+60\cdot t = 0[/tex] (2)

[tex]t^{2} - 3.729\cdot t = 0[/tex]

[tex]t \cdot (t -3.729) = 0[/tex]

The binomial contains the time when the ball will be at a height of 3 feet again. In other words, the ball will be at a height of 3 feet above the ground after 3.729 seconds.

A factory inspector found flaws in 3 out of 18 wooden boxes. What is the experimental probability that the next wooden box will be flawed?

Write your answer as a fraction or whole number.

-------------------------------------------------------------------------------------------------------------

Remember, The experimental probability is the number of times an event occurs out of the total number of trials.

-------------------------------------------------------------------------------------------------------------

Flawed Boxes / Total

=3/18

=1/6

So The Answer is 1/6

The experimental probability that the next wooden box will be flawed is 1/6=0.167.

The experimental probability of an event is the ratio of the number of outcomes in which a specified events occurs to the total trials.

Mathematically, Experimental probability= f/n, where f is the number of times an event occurs, n is the total number of trials.

Total number of wooden boxes= 18

Total number of boxes that are flawed= 3

Therefore, required experimental probability = 3/18

                                                           =1/6

Hence, the experimental probability that the next wooden box will be flawed= 1/6

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Answer:

bilang Ng bahagi tatlong bahagi

Answer: Bag B

Step-by-step explanation:

1100 DIVIDED BY 10= 110 PER ONE

3500 DIVIDED BY 35= 100 PER ONE

OBVIOUSLY, BAG B IS THE BETTER BUY BECAUSE IT IS $10 LESS THAT BAG A

Answer:

I believe the answer for that is this

y=-x²-1

y=0

Answer: MANZANA

Step-by-step explanation: PIOJO

Answer:

im pretty sure it is .17

Step-by-step explanation:

Answer:

0.17

Step-by-step explanation:

I'm not entierly sure if there's like an equation or what not to this, but 0.17 is 17 hundreths.

Answer:

Perimeter = 24 meters

step by step explanation

Answer:

[tex](y-1.5)^2[/tex]

Step-by-step explanation:

I’m guessing you want a perfect square trinomial.

b=-3

[tex]\frac{b}{2}=-1.5[/tex]

[tex](-1.5)^2=2.25[/tex]

You need to add 2.25 to the binomial to create a perfect square trinomial.

Answer:

25%

Step-by-step explanation:

The discount was $2.50.  Dividing $2.50 by $10, we get 0.25, or 25%