in the figure, line segment AB, is tangent to the circle at point A

Answers

Answer 1

Answer:

AB = 12 in

Step-by-step explanation:

given a tangent and a secant from an external point to the circle, then the square of the measure of the tangent is equal to the product of the measures of the secant's external part and the entire secant, that is

AB² = BC × BD = 8 × 18 = 144 ( take square root of both sides )

AB = [tex]\sqrt{144}[/tex] = 12

Answer 2

Answer:

AB = 12 in

Step-by-step explanation:

Theorem

When a secant segment and a tangent segment meet at an exterior point, the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.

Secant: a straight line that intersects a circle at two points.

Tangent: a straight line that touches a circle at only one point.

Given:

Secant segment = BDExternal secant segment = BCTangent segment = AB

[tex]\sf AB^2=BD \cdot BC[/tex]

[tex]\implies \sf AB^2=(8+10) \cdot 8[/tex]

[tex]\implies \sf AB^2=18 \cdot 8[/tex]

[tex]\implies \sf AB^2=144[/tex]

[tex]\implies \sf AB=\pm\sqrt{144}[/tex]

[tex]\implies \sf AB=\pm 12[/tex]

As distance is positive, AB = 12 in

Related Questions

A hemispherical tank is filled with water and has a diameter of 10 ft If water weighs 62.4 lb per cubic foot what is the total weight of water and a full tank in the nearest pound

Answers

The total weight of water and a full tank in the nearest pound is 16328 lb.

What is the total weight?

Volume of a hemisphere = (2/3) x (n) x (r^3)

n = 22/7r = radius = 10/2 = 5

3.14 x 5³ x 2/3 = 261.67 ft³

Weight = volume x weight per cubic foot

261.67 ft³ x 62.4 = 16328 lb

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please help I need this

Answers

Answer:

the best answer is B

commending, is the act of praise or approval

Answer:

Why because u and the person sharing room, he or she is not slave to you. he or she do 50 percent and you 50 percent to keep peace in the room. steps why if the person say they are moving out then in that case who will clean the room

y=8x+7 and -8x+y=7 solve algebretically

Answers

Answer:

infinitely many solution

Step-by-step explanation:

-8x + 8x + 7 = 7

7 = 7

Which is the equation of a circle with a radius of 3 and a center at (0, 0) A . x ^ 2 + y ^ 2 = 3 B x ^ 2 + y ^ 2 = 6; x ^ 2 + y ^ 2 = 9 D. (x - 3) ^ 2 + (y - 3) ^ 2 = 0; (x + 3) ^ 2 + (y + 3) ^ 2 = 0

Answers

Answer:

x² + y² = 9

Explanation:

circle formula: (x -h)² + (y - k)² = r²

where (h, k) is the center, r is radius

Here given for center: (0, 0)

Identify

h = 0k = 0r = 3

Equation of circle:

(x - 0)² + (y - 0)² = 3²x² + y² = 9

2.5 lbs of apples for $3.25 or 35oz for $3.50?

Answers

Answer:

2.5 lbs of apples for $3.25

Step-by-step explanation:

16 oz in one pound, 2.5 pounds is 40 oz. 40 oz is bigger than 35 and it costs less.

What is the radian measure of a central angle of a circle of radius 12 feet that intercepts an arc of length 3 feet ? Round to the nearest hundredth.

Group of answer choices

4 radians

0.25 radians

0.33 radians

36 radians

Answers

Answer: 0.25 radians

Step-by-step explanation:

2. The total cost, , of apples at a farm stand is directly proportional to the number of pounds of apples purchased, p. If it costs $7 to buy 5 pounds of apples, how much would it cost to buy 9 pounds of apples? A. $3.89 C. $10.40 B. $6.42 D. $12.60

Answers

Answer:

Step-by-step explanation:

because it's simple add it up 7$/5 9$/12.60

Ten runners join a race. in how many possible ways can they be arranged as first,second,and third places

Answers

Answer:

in 720 Possibles ways Ten runners can be arranged as first, second, and third placers

Simplify
1.Cube root of 125 subtract square root of a quarter
2. 1/2+1/4÷(1/3-1/4)
3.(-5)-(-8)-(-7)-(+2)

Answers

Answer:

1- 4.5

2- 7/2 (3.5)

3- 8

Step-by-step explanation:

A solid sculpture in the shape of a square pyramid is made of 10.5 in.3 of glass. if the area of the square base is 9 in2, what is the height of the pyramid? 1.5 in. 3 in. 3.5 in. 4 in.

Answers

The height of the square-based pyramid is 3.5 in.

What is the volume of a square pyramid?

The volume of the square-based pyramid is the product of the base area multiplied by one-third of the height of the square-based pyramid.

Mathematically;

[tex]\mathbf{V = a \times \dfrac{1}{3}h}[/tex]

[tex]\mathbf{V = a \times \dfrac{h}{3}}[/tex]

Given that:

V = 10.5 in³a = 9 in²

[tex]\mathbf{10.5 = 9 \times \dfrac{h}{3}}[/tex]

[tex]\mathbf{10.5 =3\times h}[/tex]

[tex]\mathbf{h = \dfrac{10.5}{3}}[/tex]

h = 3.5 in

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Answer:

3.5 or third option

Step-by-step explanation:

I got it right on edge

What is the volume of the right triangular prism in cubic meters?

Answers

Answer:

8×3×2=48

Step-by-step explanation:

To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

Answer:

48 cubic meters

Step-by-step explanation:

HELPPPPP I NEED HELP WITH MATH HOMEWORK

Answers

Answer:

The answer is B

Please read the explanation... it always helps!!!

Step-by-step explanation:

All of the choices ask for difference.... it really helps when you draw a number line to solve these types of questions....

but for B you will need to imagine a compass..

alrighty for option B lets examine why it is correct....

Imagine you were standing on a dot (lol)

you walked 1.5 steps to the left <--

then you walked 1.5 steps to the right -->

you can see that you walked in opposite directions and in the end you will be back where you started (aka on the dot, still lol)

meaning the displacement is zero

that is why option B is correct

i really hope this isn't confusing and it helps!!!

Helppppppppppp meeeeeeeeee pleaseeeeeee

Answers

Can you crop a better photo of the question please

What is the width of the ornament at the volume of 2664.31 cm (use 3.14 for)

Answers

Answer:

33.6

Step-by-step explanation:

this is a circle

the area of a circle = pi x radius squared(since it's a 2-D shape)

but this is 3-D

V = 2664.31 = (4/3)([tex]\pi[/tex][tex]r^{3}[/tex])

you could also use

A = ³√(36 * π * V²) when A is the surface area

but those are too long, so let us just use the answer choices

V = 3.14 x answer choice x radius sqaured

V = 3.14 x 8.6 x radius sqaured

2664.31 = 3.14 x 8.6 x radius sqaured

radius sqaured = 2664.31/3.14 x 8.6

radius sqaured = 2664.31/27.004

radius sqaured can't be made with this

lets skip V

radius sqaured = 2664.31/3.14 x 17.2

radius sqaured = 2664.31/54.008

since 27.004 didn't work, and 54.008 is 2 times as that

radius sqaured = 2664.31/3,14 x 33.6

radius sqaured = 2664.31/105.504 ≈ 25

25 square rooted is 5

33.6

HURRY 100 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Which number line shows the solution to the inequality? y minus 2 less-than negative 5 A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the left of the circle is shaded. A number line going from negative 8 to positive 2. A closed circle is at negative 3. Everything to the left of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the right of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 7. Everything to the left of the circle is shaded.

Answers

Answer:

Step-by-step explanation:

Answer: the square root of 54 x IDC x i don't even want to help x haha no help for you x points for me not you

Step-by-step explanation:

I need help pleaseeee

Answers

maybe A i’m not exactly sure

Help me out here guys! Will give points and rate, thank you in advance.
Which system of inequalities is graphed below?

(p.s: can’t make great than less than or equal to signs on my phone)

A. y less than or equal to -2/3x+5 and y>x-3

B. y<-2/3x+5 and y greater than or equal to x-3

C. y greater than -2/3x+5 and y
D. y>-2/3x+5 and y less than or equal to x-3

Answers

Answer:

Its A

Step-by-step explanation:

Its A

A group of 31 friends gets together to play a sport. First, people must be
divided into teams. Each team has to have exactly 3 players, and no one can
be on more than one team. How many teams can they make? (It is possible
that not everyone can be on a team.)
87

Answers

Answer: 10 teams is the answers

12. A turtle goes 12 meters in 28 seconds. How far does the turtle travel in one second (unit rate)?

Answers

Answer:

0.43 meters per second

Step-by-step explanation:

12/28

I need help with this math question thank you

Answers

Answer:

Step-by-step explanation:

\large \frac{1}{4} of a vegetable garden has broccoli and \large \frac{2}{3} of the garden has peppers. how much of the garden has vegetables growing in it?

Answers

11/12 of the garden is occupied by broccoli and peppers. Therefore, 11 /12 of the garden has vegetable growing in it.

How to find the how much of the garden growing vegetable?

We know that 1/4 of the garden has broccoli and 2/3 of the garden has peppers, Therefore, let's add up those two fractions to find out how much of the whole garden that has broccoli and peppers.

Therefore,

1/ 4 + 2 / 3 = ?

The denominator needs to be the same. Therefore,

1/4 × 3/ 3 = 3 / 12

2/3 × 4 /4 = 8 / 12

Hence,

3 / 12 + 8 / 12 = 11 / 12

11/12 of the garden is occupied by broccoli and peppers. Therefore, 11 /12 of the garden has vegetable growing in it.

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4 + root 3 / 4 - root 3

Answers

Answer:

[tex]\frac{19+8\sqrt{3} }{13}[/tex]

Step-by-step explanation:

Given :

[tex]\frac{4+\sqrt{3} }{4-\sqrt{3} }[/tex]

Multiply using the reciprocal :

[tex]\frac{4+\sqrt{3}(4+\sqrt{3}) }{4-\sqrt{3}(4+\sqrt{3}) }[/tex][tex]\frac{16+8\sqrt{3}+3 }{16-3}[/tex]

Simplify numerator and denominator :

[tex]\frac{19+8\sqrt{3} }{13}[/tex]

Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

Answers

Answer:

Add 7 cubes to the big square and 1 cube to the three square strip on the bottom of the big square in Step 3

Sorry if the answer is unclear, I tried my hardest to explain it properly. Please tell me if it's right, and if it is, I would appreciate a Brainliest.

(I added an image of what the answer might be)

The pattern

For top

x²

For beneath

Look

for 1 there is 1

for 2 there is 2²=4

for 3 there is 3²=9

So for 4

There will be 4²=16

6 x 4/15 I need the answer fast and if you can add an explanation please do, you don't have to though.

Answers

Step-by-step explanation:

[tex] = 6 \times \frac{4}{15} \\ [/tex]

[tex] = \frac{6}{1} \times \frac{4}{15} \\ [/tex]

[tex] = \frac{24}{15} \\ [/tex]

Change into lowest term ....

[tex] = \frac{8}{5} \\ [/tex]

Change into mixed....

[tex] = 1 \ \frac{3}{5} \\ [/tex]

What is the equation of the following line? Be sure to scroll down first to see
all answer options.
10
(8, 2)
-10
(0, 0)
10

Answers

Answer: D. 2x
Explanation:

The equation of line is y = ( 1/4 )x , with slope m = 1/4

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 0 , 0 )

Let the second point be Q ( 8 , 2 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 2 - 0 ) / ( 8 - 0 )

Slope m = 2/8 = 1/4

Now , the equation of line is y - y₁ = m ( x - x₁ )

On simplifying , we get

y - 0 = ( 1/4 ) ( x - 0 )

y = ( 1/4 )x

Hence , the equation of line is y = ( 1/4 )x

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Make a box and whisker plot of the data. 20,23,28,14,13,24,18,11

Answers

Population size: 8

Median: 19

Minimum: 11

Maximum: 28

First quartile: 13.25

Third quartile: 23.75

Interquartile Range: 10.5

Outliers: none

- Attached image is the box and whisker plot

NEED HELP PLEASE ANSWER ASAP! (42)

Answers

Answer:

(1) (4x - 5y)(4x + 5y)

Step-by-step explanation:

Question 42

16x² - 25y²The identity to be used is : a² - b² = (a - b)(a + b)(1) (4x - 5y)(4x + 5y)

Answer:

(1) (4x - 5y)(4x + 5y)

Step-by-step explanation:

Difference of Two Squares: [tex]a^2-b^2=(a-b)(a+b)[/tex]

Therefore, we can use The Difference of Two Squares to factor this expression quickly.

Given expression: [tex]16x^2-25y^2[/tex]

[tex]16=4^2 \implies 16x^2=4x \cdot 4x=(4x)^2[/tex]

[tex]25=5^2 \implies 25y^2=5y \cdot 5y=(5y)^2[/tex]

Therefore:

[tex]16x^2-25y^2=(4x)^2-(5y)^2[/tex]

Using The Difference of Two Squares:

[tex](4x)^2-(5y)^2=(4x-5y)(4x+5y)[/tex]

Find the median mode and mean for each data set

Answers

Answer:

47) A
48) C

Step-by-step explanation:

Mode 13 and 17 : most appeared

Mode 1 : most appeared
Calculate the average : 8.6 ~ 9

Answer: 47) A. 48) C.

Which of the following could be the perimeter of a rectangle with an area of 24 square inches?

A) 24 inches

B) 18 inches

C) 20 inches

D) 32 inches

Answers

Answer: C. 20 inches

Step-by-step explanation:

perimeter= 2 x (4+6)=20 inches

Rotate RST 90° counterclockwise around the origin.

Answers

The image of the triangle RST when rotated 90° counterclockwise around the origin is (-15,5), (-15,15) and (-5,10)

How to rotate the triangle?

The coordinates of RST are given as:

R = (5,15)

S = (15,15)

T = (10,5)

The rule of 90° counterclockwise around the origin is:

(x,y) -> (-y,x)

So, we have:

R' = (-15,5)

S' = (-15,15)

T' = (-5,10)

Hence, the image of the triangle when rotated 90° counterclockwise around the origin is (-15,5), (-15,15) and (-5,10)