Mathematics College

In the accompanying diagram ab is tangent to circle O at B and ACD is a secant.

If AB=9 and AD=27, find AC

In The Accompanying Diagram Ab Is Tangent To Circle O At B And ACD Is A Secant. If AB=9 And AD=27, Find

Answers

Answer 1

Answer:

AC = 3

Step-by-step explanation:

Based on tangent and secant theorem, thus:

AB² = AC × (AC + CD)

AB = 9

AD = AC + CD = 27

Plug in the values

9² = AC × (27)

81 = AC × 27

Divide both sides by 27

81/27 = AC

3 = AC

AC = 3

Related Questions

Amora bought 4 yards of fabric for $36. How much did the fabric cost per inches

Answers

Answer:

$0.25 per inch

Step-by-step explanation:

1 yard = 36 inches

So 36 times 4 is 144

36 divided by 144 is 0.25

I got the same as they did^^^

A bag contains the following marbles: 4 black marbles, 14 blue marbles, 8 brown marbles, and 20 green marbles. What is the ratio of blue marbles to brown marbles?
Express your ratio as a fraction or with a colon

Answers

Answer:

14/8 or 14:8

Step-by-step explanation:

blue:brown=14:8

Which set of numbers has 11 as a common factor? {154, 231} {143, 221} {33, 39} {77, 91}

Answers

The set of numbers that have 11 as a common factor is {154, 231}.

What are common factors?

The number that divides two or more numbers is called a common factor.

Given are the pair of numbers as -

{154, 231}

{143, 221}

{33, 39}

{77, 91}

The pair of numbers with the common factor 11 is {154, 231}.

Therefore, the set of numbers that have 11 as a common factor is {154, 231}.

To solve more questions on common factors, visit the link below -

https://brainly.com/question/11221202

#SPJ2

(4/5 + 2/3) + 1/5 = Help?

Answers

Answer:

1 2/3

Step-by-step explanation:

If you make all of their denominators 15, you would get 12/15 + 10/15 + 3/15, which is equal to 25/15, which is 1 10/15. 10/15 simplifies to 2/3, so the answer is 1 2/3.

Step-by-step explanation:

7(4/5 + 2/3) + 1/5 = Help?

Wendy painted 5/9 of the wall. Wilma painted 2/9 of the wall. How much of the wall did they paint together?

Answers

Answer:

7/9

Step-by-step explanation:

5/9+2/9=7/9

Answer:

7/9

Step-by-step explanation:

Add together the 2 fractions, 5/9 + 2/9. You dont add the bottom numbers just the top numbers, so you would get 7/9. I hope this helps :)

r f(x)
--2-1
-11-3
0-5
1-7
Which function rule defines f(x)?

Answers

Answer:

B. f(x) = -2x - 5

Step-by-step explanation:

✔️Find the rate of change:

Rate of change using two of the given pair, say (0, -5) and (1, -7)

Rate of change (m) = ∆f(x) / ∆x = (-7 -(-5)) / (1 - 0) = -2/1 = -2

✔️Find y-intercept (b):

y-intercept (b) = -5 because the y-intercept is the value of f(x) when x = 0.

✔️Substitute m = -2 and b = -5 into f(x) = mx + b

Thus,

f(x) = -2x + (-5)

f(x) = -2x - 5

Help pls !!! Answer u don’t have to explain

Answers

Answer:

B

Step-by-step explanation:

6 miles............

Please help with math

Answers

Answer:

36-(16)+7= 36-16+7=27 hope it helps

Corrected by lenaelathbash

Answer:

27

Step-by-step explanation:

6² = 6 x 6 = 36

36 - ( 8 - 4 ) ² + 7

36 - ( 4 ) ² + 7

36 - 16 + 7

20 + 7

27

Hope this helps! :)

Savannah had $13. She earned more money babysitting She now has at least $20.
Write an inequality that could be solved to find the money she could have made
babysitting

Answers

13+x greater than or equal to 20

Please help me

( Will give brainlst )

Answers

Answer:

Step-by-step explanation:

You are given the equation for the number of times, y, that she visits them by distance x. You need only substitute the given x=4 into the equation y(x)

y=-3.5x+20, using x=4

y=-3.5(4)+20

y=-14+20

y=6

So we would expect her to visit her friend four miles away six times a month.

6 times. Replace the X in the equation with 4 and solve from there

What is the area of the composite figure?
5 cm
1 cm
2 cm
5 cm
8 cm
o 52.5 cm?
o 60 cm?
o 40 cm
. 65 cm

Answers

Answer:

To calculate the area of a composite shape you must divide the shape into rectangles, triangles or other shapes you can find the area of and then add the areas back together.

Answer:52.5 cm

Step-by-step explanation:

Find the final amount for a $1500 investment at 5.65% interest compounded daily for 3 years.

Answers

Answer:

1777.05

Step-by-step explanation:

[tex]FV=PV(1+\frac{i}{n})^{nt}\\\\\\1500(1+\frac{.0565}{365})^{365*3}\\\\1500(1.000154)^{1095}\\\\1777.045 =1777.05[/tex]


If DEFG is a rectangle,
find the measure of DEG.
how do i do this

Answers

Answer:

It is 68

Step-by-step explanation:

[tex]2x - 10 = x + 6 \\ 2x - x = 6 + 10 \\ x = 16[/tex]

[tex]let \: (y) \: the \: angle \: which \: wanted \\ 90 = y + (2x - 10) \\ 90 = y + (32 - 10) \\ y = 90 - 22 \\ y = 68[/tex]

Thanks alot

Factor this expression by
dividing by the GCF first.
49w +21

Answers

Gcf is 7 since 21 can only be divided by 7 inn this situation

Answer:

I don't know what your asking but if its simplifying then its 7(7w+3)

Step-by-step explanation:

Graph the equation with work y=-3

Answers

Answer:

x, 0 y, -3

Step-by-step explanation:

i couldn't bring a graph so this is just where to graph it

Use the remainder theorem to find P(-3) for P(x) = 2x° +5x² +5.
Specifically, give the quotient and the remainder for the associated division and the value of P(-3).

Answers

2x(-3)+5x(3x3)+5= 46

Find the interest Earned

$1200 at 7% for 5 years

Show ur work please and thanks

Answers

Answer:

84

Step-by-step explanation:

So,

1% of 1200 = 12

12x7 = 84

The answer to this is 84

What is the word form for 407,219

Answers

Answer:

four hundred seven thousand two hundred nineteen

Step-by-step explanation:

Answer:

Four hundred seven thousand two hundred nineteen

Step-by-step explanation:

Write the numbers in order from least to greatest. 0.3.0.5.-1.6.-1.35​

Answers

-1.6
-1.35
0.3
0.5
Top to bottom, top is the lowest

Myriah purchased a pair of volleyball shoes on Amazon for a retail price of $75. After a 20% off coupon, how much were the shoes

Answers

Answer:

$60

Step-by-step explanation:

75 decrease 20% =

75 × (1 - 20%) = 75 × (1 - 0.2) = 60

ASAP PLZ I WILL GIVE BRAINLIEST!!!!!!!!!​

Answers

Answer:

B

Step-by-step explanation:

I think the answer is B because the expression shows 3 times x (Representing the number),  and the diagram shows 3 xs.  I was very confused about the first diagram but I still think it's B.  Sorry if I'm wrong.  

which expression is equivalent to 4 - 10(9m-7)

Answers

Step-by-step explanation: multiply both sides by 9m-7 then bring down your 10

that's about all I can remember so your on your own from that point it's been a while since I've did this sorry mate  

The points with coordinates (0,0)
and (2,1) are connected by a line
segment. If this line segment is
extended into a line, which point
will also be on the line?

Answers

Do you have a picture?
Slope of line passing through (0, 0) and (2, 1) = (1-0)/(2-0) = ½

Equation of line: y = ½x

need the answer please​

Answers

for blank 1 the answer is "slope" and for blank 2 the answer is y-intercept (slope intercept form is y=mx+b, m=slope and b=y-intercept).

The diagram shows a cuboid.
4 cm
5 cm
9 cm
What is the volume of the cuboid?
Asap

Answers

Answer:

180

Step-by-step explanation:

9x5=45

45x4=180

Answer:

180 cm^3

Step-by-step explanation:

4x5x9=180

Hope this helps! ;)

-5t2 + 14t + 3 = 0

ANSWER PLSS!!!!!​

Answers

Answer:

t=3

Step-by-step explanation:

which of the following equations will produce the graph shown below?​

Answers

Answer: x-1/8y^2=0

Hope this helps any !

It's 8 to 3 i promise i got it right on the assessment

Answers

Answer:

whats the question but if your asking whats 8-3 its 5

Step-by-step explanation:

i don’t know what you’re asking here..

Will give brainliest

Answers

Answer:

PR= 8

ST=5

Step-by-step explanation:

PQ and PR are congruent so

2x=8

x=4

2*4=8

PR=8

ST and TU are congruent so

5z=2z+3

3z=3

z=1

5*1=5

ST=5

Answer:

PR=8

ST=5

Step-by-step explanation:

PR

QS=SR (marked)

a²=b²+c² (TRIANGLE PQS)

PQ²=PS²+QS²

8²=PS²+SR² (PQ=8, QS=SR)

64=PS²+SR²

a²=b²+c² (TRIANGLE PRS)

PR²=PS²+SR²

(2x)²=64

2x=8

x=4

PR=2x=2(4)=8

ST

a²=b²+c² (TRIANGLE VUT)

VT²=TU²+UV²

VT²=(2z+3)²+UV²

VT²=4z²+12z+9+UV²

a²=b²+c² (TRIANGLE VST)

VT²=VS²+ST²

VT²=VS²+25z²

4z²+12z+9+UV²=VS²+25z²

21z²-12z-9=0

7z²-4-3=0

(7z+3)(z-1)=0

z=-3/7 or z=1

cant be neg, z=1

ST=5(1)=5

Solve the formula A= 1/2h(a+b)

Solve for b

Answers

Answer:

a = bh/-h + 2

Step-by-step explanation!

Would you like an explination?

Other Questions
The store sells walnuts for $2.95 per pound. Corey bought 2.4 pounds of walnuts. Before tax, how much will the walnuts cost? PLS ANSWER FAST WILL GIVE BRAILEST Write {more smoothly, most smoothly} in a sentence Norma and Albert both clean pools. Each charges a flat fee to clean a pool. Norma cleans 12 pools in 8 hours and earns $270. Albert cleans 9 pools in 7.5 hours and earns $195.75. 1.) Identify and describe the ratio that compares the number of pools Norma cleans per hour to the number of pools Albert cleans per hour. * Find the value of each variable. Imagine what it must have been like for someone from one of the early civilizations to set out on a voyage across the ocean to unknown land.You will be packing your boat with some supplies and maybe traveling with a few of your tribe members, leaving family members behind How could one counter the argument that colonialism destroyed traditional structures Pleasw I NEED AN ANSWER ASAP I'LL GIVE BRAINLIEST i have no idea how to do geometry plz help! hi plzzz helpp meeeee Which word meaning "old" has the most positive connotation What is the probability that a randomly selected eleventh grader's favorite class is science. Multiple Select Which conditions make using an array a better choice than a list? Select 3 options. when your list would contain a mixture of numbers and string values when you have a very large quantities of numeric data values when all your data are string when you will do a great deal of arithmetic calculations when efficiency is of great importance What island stands in New York Harbor saw many early immigrants traveled through?Immigrant traveled through Should the boer war be considered the first modern war why or why not Which of the following conclusions is supported by the map? (5 points)The most populous European countries include coastline for at least part of their bordersThe least populous European countries each have a population above one million.Landlocked countries tend to be the most highly populated.O Most European countries have populations of less than one million. While there are a few variations of the sign for Easter, what handshape do all of them use?A. BB. EC. an egg shapeD. AWhat is the answer? where do organisms live in the ocean Spanish speakers needed for this question! What was the first military-issued supply the troops received? How did they react? a printer costs $28 to manufacture and is sold for $56, what is the percentage markup