In the diagram, AP is a tangent and PBC is a secant in a circle O. If PC = 12 and BC = 9, what is AP?

In The Diagram, AP Is A Tangent And PBC Is A Secant In A Circle O. If PC = 12 And BC = 9, What Is AP?

Answers

Answer 1

Answer:

6

Step-by-step explanation:

AP^2 = PC * PB

We have PC and BC. We need PB.

PC = 12

BC = 9

PB + BC = PC

PB + 9 = 12

PB = 3

AP^2 = 12 * 3

AP^2 = 36

AP = 6

Answer: 6

Answer 2

Answer:

Hey!

AP will be 6cm.

Step-by-step explanation:-

to solve this, the equation  PB X PC = [tex]AP^{2}[/tex]  can be used

In the ques, its given that PC= 12cm and BC = 9.

To solve this, WE NEED TO FIND PB, SO:-

PB + BC = PC

PB + 9 = 12

PB = 3cm.

Now, we can substitute this in the equation:- PB X PC = [tex]AP^{2}[/tex]

[tex]AP^{2}[/tex] = PB x PC

[tex]AP^{2}[/tex] = 3 X 12

[tex]AP^{2}[/tex] = 36

AP = [tex]\sqrt{36}[/tex]

AP = 6cm.

Related Questions

What are the missing values?

Answers

Answer:

4up on 5 was missing ok madam

a car travelling a constant speed of 60km in 18 minutes .how far will the car travel in 1 hour 12 minutes?​

Answers

Answer:

240 km.

Step-by-step explanation:

The car travels 200km per hour. so multiply it by 1.2 and you get 240km.

I need help with this math problem! Please try :) NO LINKS! If you put a link, you are reported

Answers

Answer:  18.5 mpg

============================================================

Explanation:

mpg = miles per gallon

To calculate the mpg, you divide the number of miles traveled over the amount of gallons used.

In Caroline's case, she traveled 410.7 miles and used up 22.2 gallons. Her car's mpg rating is 410.7/22.2 = 18.5 mpg which means that one gallon of gas will allow her to drive 18.5 miles.

which of the following is the solution to the equation x^2-10x+16=0?

1.{2,8}
2.{-4,4}
3.{-16,10}
4. {-8,-2}

Answers

Answer:

1.{2,8}

Step-by-step explanation:

that's my answer

Answer :

1. { 2, 8 }

x² - 10x + 16 = 0

x² - 2x - 8x + 16 = 0

x ( x - 2 ) - 8 ( x - 2 ) = 0

( x - 2 ) ( x - 8 ) = 0

x - 2 = 0

x = 2

x - 8 = 0

x = 8

Therefore,

the solution to the equation x² - 10x + 16 = 0 is { 2, 8 }.

Please help me please help me please please someone can please help me this is way too hard please please please please please please please someone please help me

Answers

Answer:1  0.05806644 2 64.3818067 m2 3 10.8696557 m2 4  80.2682266 m2 0.13935456 m2 and 15.7935168 m2

Step-by-step explanation:

The function f(x) = x2+ 4 is defined over the interval [-2, 2]. If the interval is divided into n equal parts, what is the height of the right endpoint of the k^th rectangle?

Answers

Answer:

Following are the responses to the give question:

Step-by-step explanation:

The [tex]f(x) = x^2 + 4[/tex] model is developed in the interval [tex](-2, 2)[/tex] total equal in a between such a range[tex]= 5[/tex].

Its right endpoint of every rectangle is separated onto n equal parts by the height [tex]= \frac{5}{n}.[/tex]

Height of endpoint [tex]= \frac{5}{n}[/tex] of the k rectangles therefore, the height of the kth rectangle = First rectangle height + K rectangle height

[tex]= -2 +k \times \frac{5}{n}\\\\[/tex]

Max is going to go to a four-year college where the annual tuition is $14,835. He has money in savings and he earned a work-study as shown below. Max is going to pay the rest with money from a student loan. How much does he have to borrow?

Answers

Max will have to borrow $11,340

Sara brought a total of 8 nails at ace hardware. She purchased both 6 penny nails and 10 penny nails. She brought 2 more 6 penny nails then she did 10 penny nails. She had a total of 8 nails. How many 6 penny and 10 penny nails did sara purchase?​

Answers

Answer:

Sara bought 5 6 penny nails and 3 10 penny nails

Step-by-step explanation:

solve by system of equations by substitution and show work plz and thank you y=2x+3 y=-x-9

Answers

Answer:

X=-4, y=-5

Step-by-step explanation:

Y=2X+3

y=-x-9

substitute by inserting y value of 2nd equation (-x-9) into y value of 1st equation:

-x-9=2x+3

-x-9+9=2x+3+9

-x=2x+12

-3x=12

x=-4

solve for y by inserting x value (2) into either equation

y=2x+3

y=2(-4)+3

y=-8+3

y=-5

check answer by inserting x and y into either equation to make sure they equal:

y=2x+3

-5=2(-4)+3

-5=-8+3

-5=-5

or

y=-x-9

-5=-(-4)-9

-5=-5

Can someone plz help me

Answers

Answer:

A = 65, B = 75

Step-by-step explanation:

x + x + 10 + 40 = 180

2x + 50 = 180

2x= 130

x = 65

Answer:

∠A = 65°

∠B = 75°

Step-by-step explanation:

The sum of all the angles in a triangle is 180°, so we need to add all of the angles and make them equal to 180, then solve for "x".

x + x + 10 + 40 = 180

2x + 50 = 180

2x = 130

x = 65

Now, we replace "x" with 65 to get ∠A and ∠B.

∠A = x = 65°

∠B = x + 10 = 65 + 10 = 75°

The equations of three lines are given below.

Line 1: 10x+6y=6

Line 2: 5y=3x + 6

Line 3: y= 3/5 x -4

Please help

Answers

Answer:

They are parallel because they hold a same gradient which is 3/5

Someone plzzz tell me this answer i am really stuck on this

Answers

Answer:

A

Step-by-step explanation:

Variables mean multiplying and that stonleigh when that multiplies and adds And it will never be even number because it is at 99 sense meaning $50 is greater than Whatever you multiply $3.99 by


The figure is made up of 2 rectangles and 2 right triangles.
What is the area of the figure?
25
O 173 units
O 253 units
277 units
O 325 units

Answers

Answer:

area = 277 units²

Step-by-step explanation:

area = (25 x 5) + (8 x 13) + (8 x 6) = 277 units²

A car rental company charges $34 per day for a rented car and $0.50 for every mile driven. A second car rental company charges $20 per day and $0.75 for every mile driven. What is the number of miles at which both companies charge the same amount for a one-day rental?

Answers

Answer:

$1.50 2/3

Step-by-step explanation:

I hope this helps :)

PLEASE HELP ME! QUICK POINTS FOR YOU!

All information needed is in the image below.

Please answer all parts!

Answers

Answer:

x = 14

∠ABD = 66

∠DBC = 24

Step-by-step explanation:

The sum of the two angles is 90 degrees, so:

3 (x + 8) + 2x - 4 = 90      (distribute 3)

3x + 24 + 2x - 4 = 90       (simplify)

5x + 20 = 90            (subtract 20 from both sides)

5x = 70            (divide both sides by 5)

x = 14

∠ABD = 3 (x + 8)       (plug in 14)

∠ABD = 3 (14 + 8)      simplify

∠ABD = 3 (22)

ABD = 66

∠DBC = 2x - 4       (plug in 14)

∠DBC = 2(14) - 4     (simplify)

∠DBC = 28 - 4

DBC = 24

To check, 66+24=90.

Answer:

The answer I got was

3(-26+8) = -54

2(-26)-4 = -56

Step-by-step explanation:

3(x+8)=2x−4

(3)(x)+(3)(8)=2x+−4(Distribute)

3x+24=2x+−4

3x+24=2x−4

Then subtract 2x from each side

Once then you have X substitute that number with X and you should get your answer.

So do 3(-26+8) and then 2(-26)-4 which then

3(-26+8)=

2(-26)-4 =

Help fast please due in 10 mins

Answers

Answer:  465

Step-by-step explanation:

TRUE or FALSE? The sum \sqrt{16}+\sqrt{9} is a rational number.

Answers

Answer:

True

Explanation:

Sqrt[16] + sqrt[9]

4 + 3

7
Correct answer is TRUE

Translate this into an equation
Seven times the sum of a number and 9 equals 8.

Answers

Answer:

7(9+n)=8

Step-by-step explanation:

I hope this is right :)))

Can someone help me with this question. ​

Answers

Answer: the bottom is A then C

Step-by-step explanation:

43 grams of copper and 7grams other metals in a birdhouse, 83 grams of copper and 17 grams of other metals. Which one has more copper?

Answers

Answer: cage  I

Step-by-step explanation:

Given

43 gm of copper and 7 gram of other metal

Another cage has 83 gram of copper and 17 gm of other metals

Here, the percentage of copper is

For the first case

[tex]\Rightarrow \dfrac{43}{43+7}\times 100=86\%[/tex]

For the second case

[tex]\Rightarrow \dfrac{83}{83+17}\times 100=83\%[/tex]

So, the cage-I has more percentage of copper

Please answer correctly! I will mark you as Brainliest!

Answers

Answer:

600

Step-by-step explanation:

V = l * w * h

V = 10 * 3 * 20

V = 600

Answer:

V = 600 cm³

Step-by-step explanation:

The volume (V) of a cuboid is calculated as

V = lbh ( l is length, b is breadth, h is height )

Here l = 10, b = 3 , h = 20 , then

V = 10 × 3 × 20 = 600 cm³

Which of the following is equivalent to the expression x + 3x + 5x for all values of x?
8x
9x3
9x
8x3

Answers

Answer:

9x

Step-by-step explanation:

x + 3x + 5x = 4x + 5x = 9x

Geometry help please. Thank you!

Answers

It’s 4 because we find the bigger side on PQR and the same side on the smaller triangle. So PR=VW. This is the same as 4/1

I need help ASAP please

Answers

Answer:

option 4= 12/13

Step-by-step explanation:

let us supooae <c is thetha

sin thitha = oppotise side/hyptotenuse

<C= AB/AC

<C=12/13

The point A (-3, 5) and the point B (0, -16) lie on the line L.
a) Find the slope
b) Find the y-intercept
c) Create the equation of the line L.
Can you help? ​

Answers

Step-by-step explanation:

Line is passing through the point A (-3, 5) and the point B (0, -16)

a) Slope (m) = (-16 - 5)/(0+3) = - 21/3 = - 7

b) y - intercept (b) = - 16

c) Equation of line

y = mx + b

y = - 7x + (-16)

y = - 7x - 16

Students and adults purchased tickets for a recent school play. All tickets were sold at the ticket booth (discounts of any type) were not allowed.
Student tickets cost $8 each, and adult tickets cost $10 each. A total of $1,760 was collected. 200 tickets were sold.

a. Write a system of equations that can model the number of student and adult tickets sold at the ticket booth for the play.

b. Solve the system you create to find the exact number of student tickets sold and adult tickets sold.

c. Assuming that the number of students and adults attending would not change, how much more money could have been collected at the play if the student price was kept at $8 per ticket and adults were charged $15 per ticket instead of $10?

Answers

Answer:

a. (A + S = 200), (8S + 10A = 1760)

b. The school play sold 80 adult tickets, and 120 student tickets.

c. 400$ more would have been collected if the school charged 15$ per ticket instead of 10$

Step-by-step explanation:

a. To begin with, we can refer to S as student tickets, and A as adult tickets. We know that 200 tickets were sold, so we can say that (A + S = 200). We can also say that (8S + 10A = 1760).

b. We can twist the first system of equations and put one variable on the other side. It'll be (A = 200 - S). From there, we will substitute A in the second system of equations. The equation will be

(8S + 10(200 - S) = 1760)

Then you solve for S

(8S + 2000 - 10S = 1760)

-2S = -240

S = 120

Substitute for S in the first system of equations

A = 200 - 120

A = 80

or the second

8(120) + 10A = 1760

960 + 10A = 1760

10A = 800

A = 80

This means that the school play sold 80 adult tickets, and 120 student tickets.

c. (8S + 15A = X)

8(120) + 15(80) = X

X = 2160

2160 - 1760 = 400

400$ more would have been collected if the school charged 15$ per ticket instead of 10$

Which of the following is the correct factorization of the polynomial below?

Answers

Answer:

C

Step-by-step explanation:

p³ - 216q³ ← is a difference of cubes and factors in general as

a³ - b³ = (a - b)(a² + ab + b²) , then

p³ - 216q³

= p³ - (6q)³

= (p - 6q)(p² + 6pq + 36q²) → C

Answer:

C. (p - 6q)(p² + 6pq + 36q²)

Step-by-step explanation:

Equation at the end of step 1

[tex](p^{3} ) - (2^{3} 3^{3} q^{3} )[/tex]

Trying to factor as a Difference of Cubes:

Factoring:  p^3 - 216q^3

Theory: A difference of two perfect cubes, a^3 - b^3 can be factored into

(a-b) • (a^2 +ab +b^2)

Proof: [tex](a-b)(a^{2} +ab+b^{2} ) =[/tex]

[tex]a^{3} + a^{2} b+ab^{2} -ba^{2} -b^{2} a-b^{3} =[/tex]

[tex]a^{3} +(a^{2} b-ba^{2} )+(ab^{2} -b^{2} a)-b^{3} =[/tex]

[tex]a^{3} +0+0-b^{3} =[/tex]

[tex]a^{3} -b^{3}[/tex]

Check:  216 is the cube of 6

Check:  p^3 is the cube of p^1

Check:  q^3 is the cube of q^1

Factorization is:

[tex](p-6q)(p^{2} + 6pq+36q^{2} )[/tex]

Trying to factor a multi variable polynomial :

Factoring: p^2 + 6pq + 36q^2

Try to factor this multi-variable trinomial using trial and error

Factorization fails

Final Result:

(p - 6q)(p² + 6pq + 36q²)

One third of number is 8 less than the three times of the number, working pls

Answers

Answer:

the required number is 12

Answer:

3

Step-by-step explanation:

One third of number is 8 less than the three times of the number

The number is x, then:

1/3x = 3x - 83x - 1/3x = 88/3x = 8x = 3

write Two Most Active non Metals And Two Most Active Metals Among The Right Wing Elements In The Periodic Table?​

Answers

Answer: non metals F and H, fluorine has high electronegativity and tend to gain one electron. Hydrogen form she compounds with non-metals and metals.

Metals Cs and K, lose easily one outer electron. Electron is far away from nucleus and atom donates it easily.

The periodic table is composed of metals and nonmetals.

The right wing of the period table contains mostly of nonmetals. However, there are a few metals in the right wing of the periodic table. The periodic table is largely made up of metals and nonmetals.

The two most active metals in the right wing of the periodic table are bismuth and lead while the two most active nonmetals in the right wing of the periodic table are fluorine and chlorine.

Learn more: https://brainly.com/question/25114219?

Find x.
I need help please


Answers

Answer:

[tex] x = 4 \sqrt{3} [/tex]

Step-by-step explanation:

By geometric mean theorem and Pythagoras theorem:

[tex] {x}^{2} = { (\sqrt{8 \times 4} )}^{2} + {4}^{2} \\ \\ {x}^{2} = { (\sqrt{32} )}^{2} + {4}^{2} \\ \\ {x}^{2} = 32 + 16 \\ \\ {x}^{2} = 48 \\ \\ x = \sqrt{48} \\ \\ x = 4 \sqrt{3} [/tex]

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