Chord \displaystyle \overline{AB} AB is 12 inches from center \displaystyle OO. If the radius has a length of \displaystyle 1515 inches, find the length of chord \displaystyle \overline{AB} AB .

Answers

Answer 1

Answer:

18 inches

Step-by-step explanation:

Given

[tex]r = 15in[/tex] --- radius

[tex]h = 12in[/tex] --- distance between chord and the center of the circle

Required

The chord length

See attachment for illustration

First, calculate distance AX using Pythagoras theorem.

[tex]AO^2 = AX^2 + OX^2[/tex]

This gives:

[tex]15^2 = AX^2 + 12^2[/tex]

[tex]225 = AX^2 + 144[/tex]

Collect like terms

[tex]AX^2 = 225 - 144[/tex]

[tex]AX^2 = 81[/tex]

Take square roots of both sides

[tex]AX = 9[/tex]

AB is then calculated as:

[tex]AB= AX + XB[/tex]

Where:

[tex]AX=XB =9[/tex]

So:

[tex]AB = 9 + 9[/tex]

[tex]AB = 18[/tex]

Chord \displaystyle \overline{AB} AB Is 12 Inches From Center \displaystyle OO. If The Radius Has A Length

Related Questions

jill has 15 feet ribbion how many yards ribbon does she have

Answers

Answer:

Step-by-step explanation

You would take 15 ft and divide it by how many feet are in a yard which is 3.

Answer - Jill has 5 yards of ribbon

Answer:

5 yards

Step-by-step explanation:

every 3 feet are 1 yard... 15 feet divided by the 3 = 5 yards

Write the equation of a circle if its diameter has endpoints (2, 1) and (6, -3).

Answers

Answer:

y = -x + 3

Step-by-step explanation:

Given:

Coordinates are (2, 1) and (6, -3)

y = mx + c

For Coordinate (2, 1)

1 = m(2) + c

1 = 2m + c ........... Eq1

For Coordinate (6, -3)

-3 = m(6) + c

-3 = 6m + c ........... Eq2

From Eq2 - Eq1

6m - 2m = -3 - 1

4m = - 4

m = -1

From eq 1

1 = 2m + c

1 = 2(-1) + c

1 = -2 + c

c = 2 + 1

c = 3

So,

y = mx + c

y = (-1)(x) + 3

y = -x + 3

How would this look in standard notation??

Answers

68000. The reason this is the answer is because you have to move the decimal point to the right 3 times since it’s x3

If anybody could help with this question I would appreciate it so much!!

Answers

Answer:

d=7

Step-by-step explanation:

The answer is b it’s really easy

Uh... hope someone answer it hehe -,-

Answers

1-opposite angles are congruent

2-consecutive angles are supplementary

3-diagonals of a parallelogram divide the parallelogram into two congruent triangles

4-diagonals of a parallelogram bisect each other

1.opposite angles are congruent
2.consecutive angles are supplementary

Exercice 5 : (2 points)
Je pense à un nombre, je lui ajoute 20, puis je double le résultat.
Curieusement je trouve 10 fois le nombre de départ ! Quel est le nombre pensé au départ ?

Answers

Answer:

ow sorry i can't understand:( btw thank you for using brainly:))

I really need some help!

Answers

Answer:

84 in.

Step-by-step explanation:

6*6=36/2=18

6*11=66

18+66=84

What order should these go in?

Answers

Answer:

1. given

2. vertical angles theorem(1st occurrence)

3. vertical angles theorem(2nd occurrence)

4. Converse of the alternative interior angles theorem

5. Transitive property of congruence

hope this helps

have a good day :)

Step-by-step explanation:

Answers:

GivenVertical Angles Theorem (1st Occurrence)Vertical Angles Theorem (2nd Occurrence)Converse of the Alternate Interior Angles TheoremTransitive Property of Congruence

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

Explanation:

We always start with "given" when it comes to proofs in geometry, and proofs in general. Think of it like starting to build a house. Someone goes out and buys the material, which is the "given" that you start to work with. When we cross two lines to form an X shape, the angles opposite each other are known as vertical angles. They don't need to align vertically to be considered as such. Angles 2 and 3 fit the description. Vertical angles are always the same measure. I'm not sure why your teacher wanted to emphasize "1st occurrence" and "2nd occurrence". That part is irrelevant in my opinion.See item #2 above. Alternate interior angles are angles inside the parallel lines, and they are on alternating sides of the transversal cut. One pair of alternate interior angles is angle 3 and angle 6.The transitive property is the idea of chaining equations together. If we know that A = B and B = C, then we link them together to conclude that A = C. You can think of it as if you started in town A, moved to town B, then ultimately ended up in town C. So therefore you've gone from A to C.

Pls, help with this math question

Answers

Step-by-step explanation:

OCB=CBO(base angle of isosceles triangle are equal)

now,

OCB+CBO+BOC=180°(sum of angles of triangles)

BOC=180-62

BOC=118°

again,

x=BOC/2{inscribed angle is half of central angle standing on Same base}

x=118/2

x=59°

stay safe healthy and happy...

How many more lawns can logan mow per hour thanhow many more lawns can logan mow per hour than brian brian

Answers

Answer:

Logan can mow 1 lawn per hour more than Brian

Step-by-step explanation:

Given

[tex]Logan: 8\ lawns \to 4\ hours[/tex]

See attachment for Brian's graph

First, calculate Logan's hourly rate

[tex]Rate = \frac{Lawn}{Time}[/tex]

[tex]Rate = \frac{8\ lawns}{4\ hours}[/tex]

Rate = 2 lawns per hour

To calculate Brian's rate, we select 2 points from the linear graph

[tex](x_1,y_1) = (1,1)[/tex]

[tex](x_2,y_2) = (2,2)[/tex]

So, the rate is:

[tex]Rate = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]Rate = \frac{2 - 1}{2 - 1}[/tex]

[tex]Rate = \frac{1}{1}[/tex]

Rate = 1 lawn per hour

So, we have:

[tex]Logan = 2[/tex]

[tex]Brian = 1[/tex]

Calculate the difference (d)

[tex]d = Logan - Brian[/tex]

[tex]d = 2 - 1[/tex]

[tex]d = 1[/tex]

Logan can mow 1 lawn per hour more than Brian

Find the slant height l of the cone given the surface area S.

S=126π cm²



The slant height is
centimeters.

Answers

9514 1404 393

Answer:

  15 cm

Step-by-step explanation:

The formula for the surface area of the cone is ...

  A = πr² +πrL =  πr(r +L)

The radius of this cone is half its diameter so is (12 cm)/2 = 6 cm. Then the slant height L can be found from ...

  126π cm² = π(6 cm)(6 cm +L)

  21 cm = 6 cm +L . . . . . . . . . . . . . . divide by 6π cm

  15 cm = L . . . . . . . . . . . . . . . . subtract 6 cm

The slant height is 15 centimeters.

Problem 1: Your new computer cost $1500 but it depreciates (decreases)
in value by about 18% each year. How much does it cost after 15 years?
a) Does this equation represent growth
or decay? Circle one.
growth decay
b) Identify the initial amount
c) Identify the growth or decay rate
d) Write an exponential function to
model the situation
Y = A (1 r)'
e) How much does the computer cost
after 15 years?
Students, draw anywhere on this slide!

Answers

These are the answers:
A) Decay
B) $1500
C) 0.18
D) 76.44

*Question Is Above*

Answers

diameter=16 so divide by 2 to find radius
16/2=8=r

area of circle= pi*r^2

area of circle= pi*8^2

area of circle=64pi

now either leave it as an exact answer (64pi u^2) or convert it to a decimal and then round

201.06192983

round to nearest tenth= 201.1 u^2
or round to the nearest hundreth=201.06 u^2

I need help please hurry it needs to get turned in asappppp

Answers

Answer:

Did you attach a screenshot of the question? If so, we cannot see it

Step-by-step explanation:

Answer:

11.25

Step-by-step explanation:

Math question is in the picture please help

Answers

I think it’s 5, -9
:::::

The temperature at 12:00 pm was 5oF. The temperature then went down by 1.2oF every hour till 7:00 p.m. What was the temperature at 7 pm?
If you answer and show work I’ll make you brainliest pls help

Answers

Answer:

41.6 degrees (i think, sorry if it's not.)

Step-by-step explanation:

if the amount of time from 12:00 pm to 7:00 pm was 7 hours, you're going to need to take into account that you need to lower 50 degrees 7 times by 1.2 degrees. (50 - 1.2 times 7)

A cable repair person has 7.9 meters of wire. Suppose each meter of the wire weighs 3.2 ounces. Find the weight of the wire.

Answers

3.2 x 7.9 = 25.28
Hope this helps:D

the sum of two consecutive number is 15. the number are and solve ​

Answers

By Question it's given that the sum of two numbers is 15 . And we need to find out the numbers. So ,

Let us take :-

First number = x Second number = x + 1

According to the Question :-

[tex]\sf\implies x + x +1=15\\\\\sf\implies 2x = 15-1\\\\\sf\implies 2x =14 \\\\\sf\implies x =14/2 \\\\\sf\implies\red{ x = 7 }[/tex]

Therefore :-

First number = 7 Second number = 8

Hence the two numbers are 7 and 8.

After 4 years eldi will be three times the age he had 10 years ago. Using algebra find the age of eldi

Answers

Suppose that Eldi has x years old now :

x + 4 = 3 × ( x - 10 )

x + 4 = 3x - 30

Add both sides 30

x + 4 + 30 = 3x - 30 + 30

x + 34 = 3x

Subtract both sides x

x - x + 34 = 3x - x

34 = 2x

2x = 34

Divide both sides by 2

2x ÷ 2 =34 ÷ 2

x = 17

_____________________________

Thus Eldi is 17 .

A cylinder has a base diameter of 20 meters and a height of 17 meters. What is its volume in cubic meters, to the nearest tenths place?​

Answers

V=5340.7 meters
3.14 using pi sign *10^2*17

Pls help will mark brainliest

Answers

Answer:

[tex] \large \boxed{ \boxed{ \tt x \geqslant 2 \: \: is \: \: the \: \: domain \: \: of \: \: function}}[/tex]

Step-by-step explanation:

We are given the square root function below:

[tex] \large{g(x) = \sqrt{x - 2} }[/tex]

Recall that domain is the set of all x-values and that a number inside the square root cannot be negative.

From the given square root function above, substituting x >= 2 gives a positive output. But if we substitute x < 2, evaluating the numbers inside result in negative number in the square root which does not exist in Real Number.

Hence,

[tex] \large{y = \sqrt{x - a} }[/tex]

And thus, the domain is

[tex] \large \boxed{x \geqslant a}[/tex]

Since if x < a, the output would become an imaginary number.

From the given function,

[tex] \large{g(x) = \sqrt{x - 2} }[/tex]

From the form of sqrt(x-a) where domain is a-term which is 2.

Since a = 2, and thus

[tex] \large \boxed{x \geqslant 2}[/tex]

Luis, Pedro y Ernesto fueron a comer pizza. Entre Luis y Ernesto comieron el doble que Pedro. Pedro comió el doble que Ernesto. Entre los 3 se comieron una pizza ¿Qué porción se comió cada uno?

Answers

Answer:

Luis comió 1/2 pizza, Pedro comió 1/3 pizza y Ernesto comió 1/6 pizza.

Step-by-step explanation:

Dado que Luis, Pedro y Ernesto fueron a comer pizza, y entre Luis y Ernesto comieron el doble que Pedro, y Pedro comió el doble que Ernesto, y entre los 3 se comieron una pizza, para determinar qué porción se comió cada uno se debe realizar el siguiente cálculo:  

L + P + E = 1

L + E = 2P

P = 2E

L + E = 4E

L = 4E - E

L = 3E

3E + 2E + E = 1

6E = 1

E = 1/6

E = 0.166

P = 0.166 x 2

P = 0.333

L = 0.166 x 3  

L = 0.5  

L = 1/2

Por lo tanto, Luis comió 1/2 pizza, Pedro comió 1/3 pizza y Ernesto comió 1/6 pizza.

Order the number from least to greatest 1/3,0.3,2/3 and 2/5

Answers

0.3, 1/3, 2/5, 2/3
Hope this helps!

note: Do me a favor and mark me as brainliest? Would really help motivate me to help out more people. Thank you.

QUICK HELP
Joanne invested $12,000 in a savings account. She left her money in the account for 4 years at a simple annual interest rate of 7%. How much interest did she earn?

A $840

B $3,360

C $15,360

D $33,600

Answers

$15,360 i think because of what it says

Ali earns $80 in 10 hours. How long would it take him to earn $200?

Answers

Answer:

25 hours

Step-by-step explanation:

first you ask yourself that :

if it takes just 10 hrs to make $80 , would it take more or less hours to make $200.

The answer is it will take more hours to make $200,

Based on this idea established: we say if it's giving more then less would divide.

so therefore:

we have

[tex] \frac{200}{80} \times 10 [/tex]

finally we have 25 hours.

Thanks

20 POINTS!!!!!
which phrase best describes the expression : 3x + 4y + 1/2z
a. product of three variables
b. value of three coefficients
c. the quotient of three terms
d. the sum of three terms

Answers

Maybe c not to sure hope this helps

Convert the measurement as indicated

12 yd to foot



Show steps



Will give Brainlist



Help

Answers

Answer:

36 ft

Step-by-step explanation:

Given :

12 yards.

We need to convert it into feets. We know that ,

[tex] \implies[/tex] 1 yard = 3 feet

[tex] \implies[/tex] 12 yards = 12 * 3 ft

[tex] \implies[/tex] 12 yards = 36 ft .

Hence the required answer is 36 feets .

Answer:

the formula for converting yards into feet: 1 yard is equal to 3 feet. Write out the necessary math problem or use a calculator. If you want to convert 21 yards, for example, the problem would be 21 multiplied by 3 (21 x 3). Finish the conversion.

SO,

12 yd 36.00 ft

Which of the following is a subset of the set E which contains all even integers?
A) {4, 10, 22)
B) {2,4,5,8,10}
C) {1,2,3,4}
D) n(E) = 6

Answers

Answer:

A

Step-by-step explanation:

the numbers available in the set is {4,10,22} all are even numbers only.

You and your family are driving to the Wild Animal Park in Escondido, CA. The distance from your house to the park is 528 miles. You hope to get there in 8 hours of driving time. What would be your average driving speed. Explain your thinking

Answers

Answer:

66 m/h

average speed = distance / time

528/8 = 66m/h

Step-by-step explanation:


Please help me find the median to this table

Answers

hope this helps! feel free to clarify
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