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

Two odd numbers are selected at random from integers 11 through 22. Find the
probability that the two numbers are multiples of 3 after replacing first? JUST
SHOW MATH!*

Answers

I mean the answer is 34 sorry for the mistake

Probability  that the two numbers are multiples of 3 after replacing first

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

The odd integers from11 to 22 are

11,13,15,17,19,21

So there are 6 events

Out of these 6 numbers, 2 numbers (15,21) are multiples of 3.

One number out of these 2 numbers can be chosen in 2 ways.

Therefore, favourable number of elementary events = 2.

Required probability =2/6=1/3

Hence 1/3 is the probability  that the two numbers are multiples of 3 after replacing first

To learn more on probability click:

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im giving points and brainliest​

Answers

Answer:

cool

Step-by-step explanation:

ok

Alice draws a triangle and measures two of the angles with a protractor. The angle measures are 65 and 45. Cal says the measure of the third angle is 60. Explain why Cal's answer is incorrect.

Answers

Answer: Cal's answer must be incorrect because the sum of angles is incorrect.

Step-by-step explanation:

The sum of all interior angles of a triangle is 180 degrees.

According to Cal, the three angles of the triangle has magnitude 65, 45 and 60 respectively.

Sum of angles = 65+45+60

i.e. Sum of angles = 170 which is not equal to 180

Hence, Cal's answer must be incorrect because the sum of angles is incorrect.

Lorena purchased a fish tank in the shape of a cube with sides 18 inches in length. What is the distance between the opposite corners of the front of the tank?

Answers

Answer:[tex]31.17\ in[/tex]

Step-by-step explanation:

Given

Edge length of cube is [tex]a=18\ in.[/tex]

From the figure, distance between the opposite corner of the tank is

[tex]\Rightarrow (xy)^2+(xz)^2=(yz)^2\\\Rightarrow a^2+(a\sqrt{2})^2=(yz)^2\\\Rightarrow (yz)^2=3a^2\\\Rightarrow (yz)^2=3\times (18)^2\\\Rightarrow yz=18\sqrt{3}\\\Rightarrow yz=31.17\ in.[/tex]

Therefore, the length of the opposite corners is [tex]31.17\ in[/tex]

Please help me its 2:24am and im really tired but im trynna get this done so please someone help

Answers

THE CORRECT ANSWER IS 57 CM³!

what is the smallest angle of this triangle

17,26,29

Answers

The answer is 17 is the smallest angle
The awnswr is 17……….

A wire was bent into the shape of a rectangle with width 5 and length 7 . If this wire
is bent into the shape of a square, what is the length of a side of the square?
A) 3
B) 6
C) 24
D) 35

Answers

Answer:

B | 6

Step-by-step explanation:

First, find the length of the wire by finding the perimeter of the rectangle

2(5) 2(7) = 24

If a square has 4 sides, put 24 as the numerator and 4 as the denominator.

24/4

Now, divide it and you'll get 6, the answer.

Which of the following represents 2x-5y + 15 = 0 written in slope-intercept form?
Oy=x+3
Oy=2x-3
Oy=-3x+3

Answers

I’m not sure any of those are correct but I got y=2/5x+3

PLZ HELP I WILL MARK BRAINLIEST

NO LINKS!!!

Answers

I believe the surface area is equal to 528

Write each expression using exponents.
3/8 * 3/8 * 3/8=

Answers

Answer:

3/8^3

Step-by-step explanation:

the exponent is 3

Answer:

(3/8)^3

3^3 * 2^-9

Step-by-step explanation:

3/8 * 3/8 * 3/8 = (3/8)^3

= 3^3 * (1/8)^3 = 3^3 * (2^-3)^3 = 3^3 * 2^-9

Can someone explain this to me I already know the answer is 50 but how is it 50?

Answers

Angle 10 is 140 degrees

Angle 2 = Angle 10 = 140 degrees (Vertically Opposite Angles)

Angle 5 + Angle 4 = Angle 2 (Corresponding Angles)
Angle 5 + Angle 4 = 140
90 + Angle 4 = 140 (Angle 5 is 90 degrees because c is perpendicular to d)
Angle 4 = 50

When multiplying fractions we don’t have to worry about finding (blank) why?
SOMEONE HELP PLEASEEEEEEEE

Answers

Answer:

a common denominator

Step-by-step explanation:

I can confirm that answer

Triangle ABC is congruent to Triangle DEF. What corresponds with

Answers

Answer:

<E

Step-by-step explanation:

Answer:

∠E is the answer I believe

If i'm wrong correct me!!

(°◡°♡).:。

HELP!!! =∆=

Applying the Pythagorean theorem, solve this triangle.​

Answers

Answer:

c = sqrt(106)

Step-by-step explanation:

Since this is aright triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

5^2 + 9^2 = c^2

25 +81 = c^2

106 = c^2

Taking the square root of each side

sqrt(106) = sqrt(c^2)

c = sqrt(106)

Therefor y=10.29 which is hypotenuse of the triangle

Greatest common factor of 15,75

Answers

15........hope it helps

The greatest common factor is fifteen

what is the solution to 8t - 2 - 9t < 5?​

Answers

Answer:

t > -7

Step-by-step explanation:

8t - 2 - 9t < 5

Combine like terms

- 2 - t < 5

Add 2 to each side

-2-t+2 < 5+2

-t <7

Multiply each side by -1, remembering to flip the inequality

t > -7

10 mins to submit please help FAST

Answers

Answer:

Step-by-step explanation:

I got 408.33. dont know how to help you out

If u can, Can u show the working on typeing it or just tell the answers;)

Answers

the answer would be 79.457

how to write a relative frequency

Answers

Answer:

To find a relative frequency you need to divide the total number of x in the frequency to the total number. This can be represented as a fraction, decimal,  or percent.

Step-by-step explanation:

For example,

The ball landed 3 times out of 40.

3/40 = 7.5%

Step-by-step explanation:

To find the relative frequencies, divide each frequency by the total number of students in the sample–in this case, 20. Relative frequencies can be written as fractions, percents, or decimals. Cumulative relative frequency is the accumulation of the previous relative frequencies.

Example: Your team has won 9 games from a total of 12 games played: the Frequency of winning is 9. the Relative Frequency of winning is 9/12 = 75%

Find the missing parts (I will give brainliest)

Answers

Answer:

a-d=90

e= 34

f= 56

g= 56

h= 34

i= 34

j= 56

k= 56

The box-and-whisker plot shown displays the number of hours 20 student athletes spend exercising during the week.

Which number best describes the range of the data in the box-and-whisker plot?
A. 25
B. 15
C. 10

Answers

15 because 20-5 is 15

The number that best describes the range of the data in the box-and-whisker plot is 15.

What is the range?

A box plot is used to study the distribution and level of a set of scores the scores are distributed into 4 groups. Each group has a value of 25%. The box plot consists of two lines and a box. the two lines are known as whiskers. the whiskers represents the minimum and maximum values.

Range = maximum value - maximum value  

20 - 5  = 15

To learn more about box plots, please check: https://brainly.com/question/27215146

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If each square on the grid represents 400 miles how many miles would Jacob's family travel in total

Answers

Answer:

80miles

Step-by-step explanation:

400=L

L[tex]\sqrt{400[/tex]

=20

to find p

4L

4(20=80

​HURRY PLEASE!!!!!! Boden's account has a principal of ​$300 and a simple interest rate of ​4.4%. Complete the number line. How much money will be in the account after 4​ years, assuming Boden does not add or take out any​ money?

Answers

Answer:

$66.00

Step-by-step explanation:

first we need multiply :D I will use the formula I =prt

principal= $500

rate=3.3%

time= 4 years

but we need to convert the percent, 3.3%, to a decimal

3.3%=0.033 or .033

now we multiply !

500 × 0.033 × 4 = 66 = $66.00

Answer this for me real quick

Answers

Answer:

[tex] \frac{x}{ {a}^{2} } [/tex]

Step-by-step explanation:

Matthhh

Answer:

x/a^2

Step-by-step explanation: Please tell me if this is right or wrong

The mean room temperature from Monday to Saturday is 25oC and the mean room temperature of Saturday and Sunday is 28oC. if the mean room temperature from Monday to Sunday is 26oC, find the room temperature on Saturday

Answers

Answer:

We can conclude that the room temperature on Saturday was 24°C

Step-by-step explanation:

For a set of N values:

{x₁, x₂, ..., xₙ}

The mean of the set is calculated as:

[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]

In this case, our set is the temperature of 7 days (so we have 7 elements)

{T₁, T₂, T₃, T₄, T₅, T₆, T₇}

Such that:

T₆ = temperature on Saturday

T₇ = temperature on Sunday.

We know that:

"The mean room temperature from Monday to Saturday is 25°C"

Then:

[tex]\frac{T_1 + T_2 + T_3 + T_4 + T_5 + T_6}{6} = 25 C[/tex]

"the mean room temperature of Saturday and Sunday is 28°C"

[tex]\frac{T_6 + T_7}{2} = 28C[/tex]

"The mean room temperature from Monday to Sunday is 26°C"

[tex]\frac{T_1 + T_2 + T_3 + T_4 + T_5 + T_6 + T_7}{7} = 26 C[/tex]

So we have 3 equations.

Let's rewrite:

T₁ + T₂ + T₃ + T₄ + T₅ = A

Then we can rewrite our equations as:

[tex]\frac{A+ T_6}{6} = 25 C[/tex]

[tex]\frac{T_6 + T_7}{2} = 28C[/tex]

[tex]\frac{A + T_6 + T_7}{7} = 26 C[/tex]

Removing the "Celcius" and multiplying in the 3 equations by the denominator on both sides, we get:

A + T₆ = 6*25

T₆ + T₇ = 2*28

A + T₆ + T₇ = 7*26

We now need to solve that system for T₆

The first step is to isolate one of the variables in one of the equations, (because we want to solve this for T₆ , let's not isolate that one). Let's isolate A in the first one:

A = 6*25 -  T₆

A = 150 -  T₆

Now we can replace this on the other two equations:

T₆ + T₇ = 2*28

(150 -  T₆ ) + T₆ + T₇ = 7*26

Now, let's isolate T₇  in the top equation to get:

T₇  = 2*28 - T₆

T₇  = 56 - T₆

Now we can replace this in the last equation to get:

(150 -  T₆ ) + T₆ + (56 - T₆)  = 7*26

Now, we can solve this for T₆

150 - T₆ + T₆ + 56 - T₆ = 182

-T₆ = 182 - 150 - 56

-T₆ = -24

T₆ = 24

We can conclude that the room temperature on Saturday was 24°C

How much would you pay for a shirt that is marked at $85, but is on sale for 30% off? (no Tax)​

Answers

Answer:

59.50

Step-by-step explanation:


[tex]find \: the \: volume \: of \: cube \: \\ \\ side = 5m[/tex]

Answers

Volume of Cube = a³

side a = 5 Cm

Volume = 5³ = 125 Cm³

Answer:

125m³

Step-by-step explanation:

GIVEN :-

Length of a side of a cube = 5m

TO FIND :-

Volume of cube

GENERAL FORMULAE TO BE USED IN THIS QUESTION :-

Volume of a cube = (where a = length of each side of a cube)

SOLUTION :-

Volume of the cube = 5³ = 125 m³

Please help with this

Answers

Answer:

A

Step-by-step explanation:

The best way to prove the answer is to equate the two equation and solve for the x-coordinate..however in these equation the x value is zero so the y value will alternatively be zero hence there lines consist of no points of intersection

How much would $300 invested at 7% interest compounded continuously be worth after 4 years? Round your answer to the nearest cent. ​

Answers

Answer:

8400 cents

Step-by-step explanation:

SI=P×T×R

100

300×4×7

100

=$84

=8400 cents

Answer:

$396.94

Step-by-step explanation:

formula:

[tex]PV*e^{rt}\\300*e^{.07*4}=396.938943701[/tex]

which rounds to 396.94

Which of the following choices is NOT one of the six tenses of verbs?

past participle
future perfect
future
present perfect

Answers

Answer:

past participle

Step-by-step explanation:

all of the other ones are correct

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