Trey takes the angle shown, places the point of his compass on S, and draws an arc with an arbitrary radius intersecting the rays of the angle at P and R. Trey claims that as long as he draws two more arcs by placing the needle of his compass on P and then on R, drawing a ray from S through the point at which the arcs intersect, he will be able to bisect ∠S. Is Trey correct?

A. Trey is correct. Since the initial arc was drawn with the point of the compass on S, RS=PS.

B. Trey is not necessarily correct. He will need to ensure that the compass width remains the same for each arc drawn from P and R.

C. Trey is correct. Since the compass is placed on the points P and R to draw the remaining two arcs, the ray drawn through their intersection will bisect the angle.

D. Trey is not necessarily correct. He will need to ensure that the distance from S to P and the distance from S to R are equal.

Given:

Consider the expression is [tex]\sqrt{-12}[/tex].

To find:

The value of given expression.

Solution:

We have,

[tex]\sqrt{-12}[/tex]

It can be written as

[tex]\sqrt{-12}=\sqrt{-1\times 12}[/tex]

[tex]\sqrt{-12}=\sqrt{-1}\times \sqrt{12}[/tex]      [tex][\because \sqrt{ab}=\sqrt{a}\sqrt{b}][/tex]

[tex]\sqrt{-12}=i\times \sqrt{12}[/tex]      [tex][\because \sqrt{-1}=i][/tex]

[tex]\sqrt{-12}=\sqrt{12}i[/tex]

Therefore, the value of given expression is [tex]\sqrt{12}i[/tex].

Note: all options are incorrect.

Answer:

-5/24

Step-by-step explanation:

find common denominator

8/48 - 18/48 = -10/48

simplified the answer is -5/24

Answer:

-5/24

Step-by-step explanation:

Are you sure you want your answer to be negative? Because if you switch the order, it would be 5/24. Just in case! Good luck and have a great day!

Answer:

55%

Step-by-step explanation:

The total number of questions gotten correctly = 22

The total number of questions to be answered = 40

The percent of questions Joan got correctly is calculated as:

(The total number of questions gotten correctly/The total number of questions to be answered) × 100

22/40 × 100

= 55%

Answer: Around 96 people would prefer creamy peanut butter.

Step-by-step explanation:

In the survey was found that 4 out of 5 preferred creamy over chunky peanut butter.

Then the relative frequency is:

4/5 = 0.8 prefer creamy peanut butter.

And we can assume that:

1/5 = 0.2 prefer chunky peanut butter.

We also could multiply these numbers by 100% to obtain the percentage forms:

0.8*100% = 80%

0.2*100% = 20%

Now, if there are 120 people in the grocery store, we can expect that the 80% will prefer creamy peanut butter.

Then we can expect that the number of people that prefers creamy peanut butter is:

N = (80%/100%)*120 = 0.8*120 = 96

Around 96 people would prefer creamy peanut butter.

Answer:

E

Step-by-step explanation:

I did it on AP Classroom

Answer:

x=4

Step-by-step explanation: 64/16=4

Answer:

0.4196

0.2098

0.0280

0.2378

Step-by-step explanation:

Given that:

Number of females = 8

Number of males = 6

Total = 8 + 6 = 14

Number of positions = 5

Probability = required outcome / Total possible outcomes

Total possible outcomes = 14C5

nCr = n! / (n-r)! r!

14C5 = 2002 (from calculator)

​(A) 3 females and 2​ males?

Required outcome : 8C3 * 6C2 = 56 * 15 = 840

840 / 2002 = 0.4196

(B) 4 females and 1​ male? ​

(8C4 * 6C1) / 14C5 = 420 / 2002 = 0.2098

(C) 5​ females?

8C5 / 14C5 = 56 / 2002 = 0.0280

​(D) At least 4​ females?

4 female 1 male + 5 females

((8C4 * 6C1) + 8C5) / 14C5

(420 + 56) / 2002 = 0.2378

Answer:

d

Step-by-step explanation:

Answer: the answer is going to be 9

Answer:

9.4 rounded to the nearest 10th - 9

Step-by-step explanation:

If the tenth in the decimal is 4 or lower, (like 9.4 or 9.3) It would round down to 9, but if it were 5 or higher like (9.5) it would be 10.00 or 10 :)

Answer:

1 - 3

2 - 1

3 - 4

4 - 3

Step-by-step explanation:

Answer:

???

Step-by-step explanation:

so whats the question.

Answer:

Step-by-step explanation:

Given

PEMDAS is the rule that includes order of operations in the sequence:

In the given expression we have Addition bit of PEMDAS

Answer:

JK=KI

Step-by-step explanation:

Answer:

KJ=KI

Step-by-step explanation:

They're the same length

Answer:

The word among the options that may be used for a two column proof includes;

1) Definitions

2) Theorems

3) Postulates

4) Properties

5) "Given"

Step-by-step explanation:

The word among the options that may be used for a two column proof includes;

1) Definitions; Includes the definitions of a geometry, that outlines the relevant properties

2) Theorems; Valid reasoning or conclusion that may not be directly evident in the presentation of the given relationships, but which serve to provide validation to more clearer relationships between the variables

3) Postulates; Previous suggestion or reasoning taken to be the true relationships

4) Properties; Characteristics of a given figure or expression

5) "Given"; Conditions initial stated as those of the properties of the figure or expression

Given :

The foci of hyperbola are (8,0) and (-8,0) .

The difference of the focal radii = 6.

To Find :

The equation of the hyperbola.

Solution :

We know, distance between foci is given by :

2c = 8 - (-8)

c = 8

Also, difference between the foci or focal distance is given by :

2a = 6

a = 3

Now, we know for hyperbola :

[tex]b^2 +a^2 = c^2\\\\b^2={c^2-a^2}\\\\b^2 = 64-9\\\\b^2 = 55[/tex]

General equation of hyperbola is :

[tex]\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1\\\\\dfrac{x^2}{9}+ \dfrac{y^2}{55}=1[/tex]

Hence, this is the required solution.

Answer:

7/11

Step-by-step explanation:

I could tell it was either 7/11 or 9/13 because I knew 2/3 was .666 and the other one 5/12 is less than half, so it'd be less than .5.

7/11 = .6363

9/13= .6969

7/11 is the closest

Answer:

128

Step-by-step explanation:

Add the two numbers then subtract from 360

Answer:

c. 17/2

Step-by-step explanation:

y(1/2 + z) + 6

2 (1/2 + 3/4) + 6

1 + 6/4 + 6

find common denominator

4/4 + 6/4 + 24/4 = 34/4 reduced to 17/2

Answer:

91+14π

Step-by-step explanation:

The question is incomplete. Find the complete question attached.

From the diagram shown;

It contains 4 quarter circles which is equal to a circle.

Perimeter of a circle = 2πr

r is the radius = length of one side of the square =7

Perimeter of the circle = 2πr

Perimeter of the circle = 2π(7)

Perimeter of the 4 quarter circles = 14π

Also in the diagram, there are 13 sides of the square present.

Perimeter of the squares = 13×length of one side of the square (Sum of all the sides)

Perimeter of the squares = 13×7 =91

Perimeter of the figure = Perimeter of the 4 quarter circles + Perimeter of the squares

Perimeter of the figure = 91+14π

Answer:

The other guy who answered this is wrong

Step-by-step explanation:

Your welcome

Answer:

[tex]C = (\frac{11}{3},\frac{11}{3},\frac{7}{3})[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1,z_1) = (1,3,-2)[/tex]

[tex](x_2,y_2,z_2) = (4,5,0)[/tex]

[tex](x_3,y_3,z_3) = (6,3,9)[/tex]

Required

Determine the coordinates of the centroid

Represent the coordinates with C.

C is calculated as follows:

[tex]C = (\frac{1}{3}(x_1+x_2+x_3),\frac{1}{3}(y_1+y_2+y_3),\frac{1}{3}(z_1+z_2+z_3}))[/tex]

Substitute values of x and y in the given equation

[tex]C = (\frac{1}{3}(1+4+6),\frac{1}{3}(3+5+3),\frac{1}{3}(-2+0+9}))[/tex]

[tex]C = (\frac{1}{3}(11),\frac{1}{3}(11),\frac{1}{3}(7}))[/tex]

[tex]C = (\frac{11}{3},\frac{11}{3},\frac{7}{3})[/tex]

The above is the coordinate of the centroid

Answer:

r<-3

Step-by-step explanation:

Answer:

r < [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Given

21r < 7 ( isolate r by dividing both sides by 21 )

r < [tex]\frac{7}{21}[/tex] , that is

r < [tex]\frac{1}{3}[/tex]

Answer:

24 miles per gallon

Step-by-step explanation:

Take the numbers of miles and divide by the number of gallons

96 miles / 4 gallons

24 miles per gallon

Answer: Darren is getting 24 miles per gallon. That should be your unit rate.

Answer:

Positive 4

Step-by-step explanation:

I believe this is the same as the problem above.

Factors for 8 => 1, 2, 4, 8

factors for 12 => 1, 2, 3, 4, 6, 12

the common greater number is 4. So the plot will be on posotive 4. Above sea level, which is above zero.

We know that 15 elves represent the 20% of the total.

Since 20% is one-fifth, the total number of elves is

[tex]15\cdot 5 = 75[/tex]

Alternatively, solve the proportion

[tex]15\div x = 20\div 100[/tex]

which yields

[tex]x=\dfrac{1500}{20}=75[/tex]

Answer:

8 / 9 miles

Step-by-step explanation:

Given that:

Jason's distance = 1/3 mile

Jane's distance = 2/6 miles

Jude's distance = 2/9 miles

The total miles rowed down the river by all 3 :

(1/3 + 2/6 + 2/9) miles

The L. C. M of the denominator (3, 6, 9) = 18

(6 + 6 + 4) / 18

16 / 18 miles

8 / 9 miles

Answer:

(3,13)

Step-by-step explanation:

so, you would add 3 to the y value

the point would be (3,13)

Answer:

72

Step-by-step explanation:

Since every year she watches it 3 times, she would watch 3·24 times when she is 24. 3·24=3·20+3·4=60+12=72

Answer:

72

Step-by-step explanation: