Given: k(O, r), AB = BC
m∠B =120°, r=14cm
Find: AB

Given: K(O, R), AB = BC MB =120, R=14cm Find: AB

Answers

Answer 1

Answer:

AB=14 cm

Step-by-step explanation:

step 1

Find the measure of major arc AC

we know that

The inscribed angle is half that of the arc it comprises.

so

m∠B=(1/2)[major arc AC]

we have

m∠B=120°

substitute

120°=(1/2)[major arc AC]

240°=major arc AC

so

major arc AC=240°

step 2

Find the measure of arc ABC

we know that

arc AC+arc ABC=360°

substitute

240°+arc ABC=360°

arc ABC=120°

step 3

Find the measure of angle AOC  

m∠AOC=arc ABC=120° ------> by central angle

so

The triangle AOC is an isosceles triangle

OA=OC=14 cm ------> is the radius

The internal angles of triangle AOC are

m∠CAO=m∠OCA=30°

The triangle ABC is an isosceles triangle

AB=BC

The internal angles of triangle ABC are

m∠BAC=m∠ACB=30°

so

Triangles AOC and ABC are congruent by ASA similarity postulate ( two angles and included side)

therefore

AO=AB=14 cm


Related Questions

Omar makes a total of $51.75 selling brownies and muffins at a bake sale. If he sells 16 brownies for $2.25 each how many muffins does he sell at $1.75 each?

Answers

Omar sells 9 muffins. I hope this helps!

7 eights into decimal and fraction​

Answers

Answer:

Decimal Form: 0.875    Fraction Form: 7/8

Step-by-step explanation:

7 divided by 8 is 0.875 and another way to write seven eighths is 7/8

I hope this helps

Please Answer..... Thanks :)

Use the distributive property to remove the parentheses.

5(9 - v)

Answers

Answer:

45 - 5 v

Hope this helps :)

Have a great day !

5INGH

Step-by-step explanation:

5 × 9 = 45

5 × - v = - 5 v

45 - 5 v

Answer:

This is what you would do!

One, you start off by multiplying 5 into the parentheses (9 and v)

Next, it will look like this,

5(9)-5(v)

Then multiply your equation

5x9=45

5xv=5v

And this is what it would look like

45-5v

(Sometimes this would just stay like this, put if your teacher wants the unknown number to be by itself, this is what you would do next)

Divide 5 to both problems

45/5  5v/5

9=v

(That last part is if you need it but hopes it helps :))

Step-by-step explanation:

15 POINTS!
Select all the measurements that could represent volume.

A. 23 1/6 km8
B. 8 ft2
C. 362 cm6
D.10.1 mm3

Answers

Final answer:

The only correct measurement that represents volume in the list is D.10.1 mm3, which uses cubic millimeters, a standard unit of volume. The others are either measurements of area or contain typos/error in notation.

Explanation:

To select all the measurements that could represent volume, we look for units that indicate three-dimensional space. Volume measurements typically have units raised to the third power, indicating length, width, and height dimensions. The correct options for units of volume are as follows:

D.10.1 mm3 - Cubic millimeters are a standard unit of volume, which makes option D the only correct choice.

Here are clarifications for the other options:

A. 23 1/6 km8 - This is not a standard notation for volume or any other measurement and is likely an error in notation or a typo.B. 8 ft2 - Square feet are a measure of area, not volume.C. 362 cm6 - Like option A, this is not a standard notation for volume and likely an error.

Volume in Various Units

When expressing volume, common standard units include milliliters (mL), cubic centimeters (cm3), and liters (L) for smaller volumes, and cubic meters (m3) for larger volumes. To provide a couple of examples:

A car's gas tank volume might be expressed in liters.The volume of a small rectangular box would be measured in cubic centimeters, and we could calculate it by multiplying its length, width, and height.

Mike wants to make a meatloaf. His recipe uses a total of 8 pounds of meat

Answers

It would be 6 pounds of beef and 2 pounds of pork for a total of 8 pounds of meat

Answer:

It's 2 pounds trust me I got it right

Step-by-step explanation:

Regis has a bag with 8 tiles numbered 1 through 8. He randomly draws one bag without looking. Which of the following describes a likely outcome?

Answers

He has a likely outcome of 1/8

What is the value of the expression 4x − y when x = 3 and y = 1?

1
6
11
12

Answers

Answer:

11

Step-by-step explanation:

4x -y

substitute numbers for variables

4(3) - 1 -- multiply first

12-1   subtract

11

Option C is correct. The values of the expression 4x − y when x = 3 and y = 1 will be 11.

What exactly is a polynomial?

They are mathematical formulas containing variables raised by non-negative integers, coefficient, and constants involving only addition, subtraction, multiplication, and non-negative exponentiation of variables.

The given expression is;

4x − y

Put, x = 3 and y = 1

⇒4x − y

⇒4(3)− 1

⇒11

The values of the expression 4x − y when x = 3 and y = 1 will be 11.

Hence, option C is correct.

To learn more about polynomials, refer:

https://brainly.com/question/27343162

208+8.3x−10.8+2.4x PLEASE HELP ME AND FAST

Answers

Answer:

197.2+10.5x

Step-by-step explanation:

Combine regular numbers and combine x

208-10.8+8.3x+2.4x

197.2 + 10.5x

Can someone please answer this with steps

Answers

1) Put all equations together and add them up to equal 180. Triangle's angles add up to 180°

EX) (x+10)+(3x-5)+x=180

2)Combine like terms.

EX) (5x+5)=180

3) Subtract 5 to both sides

EX) 5x=175

4) Divide both sides by 5.

EX) x=35

Identify the geometric mean of 1/3 and 1/27.

Answers

Answer:

1/9

Step-by-step explanation:

To find the geometric mean of two numbers,  multiply them together, then take the square root

G.M = sqrt( 1/3 * 1/27)

        = sqrt(1/81)

       = 1/9

Milan drove 792 miles in 11 hours. At the same rate, how many miles would he drive in 9 hours? Please Answer, Thanks. :)

Answers

Answer:

648

Step-by-step explanation: You have to do 792 divided by 11 wich = 72 then do 72 x 9 and it = 648.

The probability of a given event is 0.03.

Which statement is true?


a.The event is likely to happen.

b.The event may happen, but it is not likely.

c.The event will definitely not happen.

d.The event has an equal chance of happening or not happening.

Answers

Answer:

b.The event may happen, but it is not likely.

Step-by-step explanation:

b.The event may happen, but it is not likely.  Why?  Because the probability given, 0.02, is very close to 0, which would indicate zero chance of the event happening.

Final answer:

The correct answer is b. The event may happen, but it is not likely. This is because a probability of 0.03 suggests a low likelihood of occurrence, being much closer to 0 than to 1.

Explanation:

The probability of an event is a way to quantify the likelihood that the event will occur, represented as a number between 0 and 1. A probability of 0 means an event is guaranteed not to happen, while a probability of 1 means an event is certain to happen. In this scenario, the probability of the given event is 0.03, which is quite small.

Considering that a probability value close to 0 indicates an event that is very unlikely to happen, and value close to 1 indicates an event that is very likely, it can be concluded that:

This statement (b) is true because a probability of 0.03 indicates that there is only a 3% chance of the event occurring, which suggests that while it's not impossible, it's far less likely to happen than not.

Solve for x: 0.25x+0.1x=9.8

Answers

Answer:

x=28

Step-by-step explanation:

Answer:

x=28

Step-by-step explanation:

Simplifying

0.25x + 0.1x = 9.8

Combine like terms: 0.25x + 0.1x = 0.35x

0.35x = 9.8

Solving

0.35x = 9.8

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '0.35'.

x = 28

Simplifying

x = 28


In the diagram, if EC = 8, ED = 6 and AE = 12 solve for EB.

Answers

Answer:

The length of segment EB = 4

Step-by-step explanation:

* Lets revise a fact in the circle

- When two chords intersect each other inside a circle, the

  products of their segments are equal

* Now lets use this fact to solve the problem

- AB and CD are two chords in the circle intersect each other

 at point E

- The segments of AB are AE and EB

- The segments of CD are CE and ED

* From the fact above

∴ AE × EB = CE × ED

∵ AE = 12 units

∵ EC = 8 units and ED = 6 units

∴ 12 × EB = 8 × 6

∴ 12 EB = 48 ⇒ divide both sides by 12

∴ EB = 4

* The length of segment EB = 4

Answer:

The length of segment EB = 4 units

Step-by-step explanation:

From the figure we can see a circle with two chords intersects each other.

The products of segments of chords are equal

To find the length of EB

we have EC = 8, ED = 6 and AE = 12

From the figure we can write,

AE * EB = EC * ED

EB =  (EC * ED)/AE

 = (8 * 6)/12 = 4 units

Therefore the correct answer is EB = 4 units

Sanaa works at a candy store. A customer bought 3.23 pounds of licorice that costs $3.99 per pound including tax. How much money should Sanaa collect from the customer?

Answers

Answer:

$12.89

Step-by-step explanation:

3.23 lb × 3.99 $/lb = 12.8877 $

Since we have to round to the nearest cent, Sanaa should collect $12.89.

How is 75,054 written in words

Answers

seventy-five thousand and fifty-four.

Answer:

seventy five thousand and fifty four

Step-by-step explanation:

Pamela is shopping for bottled water at the supermarket. Which is the best buy?

A) 1 2-liter bottle for $0.89**
B) 3 1-liter bottles for $1.50
C) 24 0.5-liter bottles for $5.25
D) 36 0.25-liter bottles for $4.75


PLEASE HELP!!

Answers

I believe it’s B... sorry if I’m wrong >_<

Answer:

Its C trust me

I need the value of Z.... please look at the attachment.

Answers

Answer:

Value of Z is 16.39

Step-by-step explanation:

each line is 0.08 away.

the value of z is 16.39

hope this helped! have a nice day!

2. Shakia has five days to read a 200-page book. If she wants to
read the same number of pages each day, how many pages
should she read each day?
Estimate Jira ordered a book for $6.99, a dictionary for $8.99, a
set of maps for $5.99. Estimate the price for all three items. Then f
the actual price.
Patrick practiced the harmonica for 7 weeks before his recital. How
many days are equal to 7 weeks?
One third of the books were placed on the first shelf. What fraction
the books were not placed on the first shelf ?
Represent To what decimal number is the arrow pointing? Wha
mixed number is this?

Answers

Answer:

Shakia will read 40 pages each day.

Step-by-step explanation:

To find out how many pages Shakia should read each day, you have to divided 200 by 5, and you will get an answer of 40 pages.

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

Answer:

The estimate price for all three items is $22.00.

The actual price would be $21.97.

Step-by-step explanation:

To find the estimate price, just round each price to the nearest whole number, so $6.99 → $7.00, $8.99 → $9.00, and $5.99 → $6.00. Add them all together and you'll get $22.00.

To find the actual price without estimating, simply add $6.99 + $8.99 + $5.99, and the answer is $21.97.

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

Answer:

49 days are equal to 7 weeks.

Step-by-step explanation:

Since there are 7 days in 1 week, and you want to find out how many days are in 7 weeks, you just multiply 7 x 7 and get 49 days.

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

Answer:

2/3 of the books were not placed on the first shelf.

Step-by-step explanation:

All you have to do to answer this problem is subtract 3/3 - 1/3 and you'll find out how many books are not placed on the first shelf.

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

In order to solve the last problem, I need more information.

*** PLEASE HELP ASAP

what is the length of the hypotenuse of the triangle?

1. 22 ft
2. 33 ft
3. 57 ft
4. 65 ft​

Answers

Answer is square root of 65

Explanation:

Use the pathagreom theoream: a’2+ b’2= c’2 (C= hypotenus and a + b is legs)

Substitute:

7^2 + 4^2 = c^2

65= c^2

Square root both sides and you get … c= square root of 65

The hypotenuse of the triangle is AB = √65 feet

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now , the measure of sides of the triangle are

The measure of AC = 7 feet

The measure of side BC = 4 feet

Now , for a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

AB² = AC² + BC²

On simplifying , we get

AB² = 7² + 4²

AB² = 49 + 16

Taking square roots on both sides , we get

AB = √65 feet

Hence , the hypotenuse of the triangle is AB = √65 feet

To learn more about triangles click :

https://brainly.com/question/16739377

#SPJ2

Michael has a sink that is shaped like a half-sphere. The sink has a volume of 3000/3 π in3. One day, his sink is clogged. He has to use one of two cylindrical cups to scoop the water out of the sink. The sink is completely full when Michael begins scooping. (a) One cup has a diameter of 6in. and a height of 8 in. How many cups of water must Michael scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number. (b) One cup has a diameter of 10in. and a height of 8in.How many cups of water must he scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number

Answers

Answer:

A. 14 times

B. 5 times.

Step-by-step explanation:

We know the volume of the sink, now we need to find the volume of the cup(s) he's using to empty it out.. to find out how many scoops he'll have to do.  

We'll assume he can actually empty it all, even if it's unlikely he can scoop the last 5%-10% of it due to the shapes/sizes of the sink and the cup. We'll also assume he completely fills the cup (which is impossible due to angles).

The volume of the sink is 3000/3 π cubic inches,  let's simplify that as 1000  π cubic inches.

a - Cylindrical cup, diameter 6 inches, height: 8 inches.

We remember the volume of a cylinder is found using this formula:

V = π r²h

So, we have:

V = π * 3² * 8 = 72π

So, how many times does Michael has to scoop (S):

[tex]S = \frac{1000 \pi }{72 \pi } = 13.88[/tex]

Of course, he can't scoop 0.83 times... so we'll round it up.

So, Michael will have to scoop 14 times with this first cup.

b - Cylindrical cup, diameter 10 inches, height: 8 inches.

We remember the volume of a cylinder is found using this formula:

V = π r² h

So, we have:

V = π * 5² * 8 = 200π

So, how many times does Michael has to scoop (S):

[tex]S = \frac{1000 \pi }{200 \pi } = 5[/tex]

So, Michael will have to scoop 5 times with this second cup, which is not surprising since the volume of the second cup is nearly the triple of the first one.

Box macaroni and cheese $1.20 for 5.5 ounces = $____ per ounce Question 1 options: 0.22 0.24 1.20

Answers

Answer:I believe the answer is $0.24

Step-by-step explanation:

Answer:

0.22.

Step-by-step explanation:

What is probability

Answers

-Hello There-

Great question you asked.

Probability is the chance that something will happen. In probability there is IMPOSSIBLE UNLIKELY EQUALLY LIKELY LIKLEY AND CERTAIN

which ratios form a proportion?​

Answers

2/3 and 8/12, because when you divide both 8 and 12 by 4 you get 2/3, which makes it proportional to 2/3

Answer:

2/3 and 8/12

Step-by-step explanation:

A chord is a diameter.
always
sometimes
never

Answers

The answer is sometimes, but this is only when the chord passes through the centermost point on the circle.

Hope this helps!

Sometimes is correct!

have a lovely day and don't forget to take care of yourself! ^-^

A female gorilla has a mass of 85,000 grams a male gorilla has amass of 220 kilograms what is the difference between these two masses in grams please show work

Answers

Answer: 220000 grams for male

Step-by-step explanation:

The difference between 85,000 grams and 220 kilograms is that the Male gorilla weighs about 135,000 grams more than the female gorilla.

You can do the math by converting the kilograms to grams and then subtracting how much the Male gorilla weighs by how much the female gorilla weighs.

Brad sold candy bars and cookies for a fundraiser at school. Candy bars sold for $3, and cookies sold for $5. He sold a total of 20 items and made $76. How many candy bars did Brad sell? 12 14 16 18]

Answers

Answer: First option

12 candy bars were sold

Step-by-step explanation:

Call x the amount of candy sold and call z the amount of cookies sold. Then we know that

[tex]x + z = 20[/tex]

We also know that candy bars sell for $ 3 and cookies sell for $ 5. The profit was $ 76

So:

[tex]3x + 5z = 76[/tex]

To find the quantity of candy bars sold we must solve the system of equations:

[tex]x + z = 20\\\\3x + 5z = 76[/tex]

Multiply the first equation by -5 and add it to the second equation

[tex]-5x -5z = -100[/tex]

               +

[tex]3x + 5z = 76[/tex]

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

[tex]-2x = -24\\\\x = 12[/tex]

Brad sold 12 candy bars.

To find this answer, you could do the following steps.

1. Use the formula $3b + $5c = $76 where "b" is the number of bars and "c" is the number of cookies.

2. Fill in each of the given answers (12, 14, 16, 18) into "b".

3. Subtract the given answers from 20 to get the number of cookies (8, 6, 4, 2).

4. Solve to see if it comes out even.

Below are all the solutions in which you use these steps.

A. $3 * 12 + $5 * 8 = $76

$36 + $40 = $76

$76 = $76

True

B. $3 * 14 + $5 * 6 = $76

$42 + $30 = $76

$72 = $76

False

C. $3 * 16 + $5 * 4 = $76

$48 + $20 = $76

$68 = $76

False

D. $3 * 18 + $5 * 2 = $76

$54 + $10 = $76

$64 = $76

False

Thus making 12 the answer. I hope this helps!

What’s the perimeter of Patrick’s Figure?

Answers

Answer:

to find a perimeter of a square all you need to do is count how many units on one side. Then you multipluy it by four since there are four sides in a square

Step-by-step explanation:

EASY MATH!
ASAP!

What are the color of the shoes worn by students in my school?
What are the heart rates of students in a sixth-grade class?

For each question write a sentence explaining if it is a statistical question or not.

Answers

Answer:

I think both

Step-by-step explanation:

Statistical question are questions that can be collected by data that varies. Here, both statements ask for a variety of data from multiple students, so I believe both are statistical. I hope this helps!

Answer:

both :) welcome hope it helps

please help explain good luck

Answers

Answer:

27

Step-by-step explanation:

Remember to follow PEMDAS. Note that, when multiplying or dividing:

1) one positive and one negative = negative number

2) two positive = positive number

3) two negative = positive number

(-7)(-5) = -7 * -5 = 35

+(-8) = +1 * -8 = -8

Subtract:

35 - 8 = 27

27 is your answer.

~

first do -7 times -5 because Parentheses means multiplication. After, you would add your answer to -8. Your answer would be 27.

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