A radius of a circle is 14 cm and a chord has 18 cm. What is the distance between the center of the circle and the chord

Answers

Answer 1

Answer: [tex]10.72\ cm[/tex]

Step-by-step explanation:

Given

Radius of circle [tex]r=14\ cm[/tex]

Length of chord is [tex]l=18\ cm[/tex]

Suppose the distance between the chord and center is x

From figure, we can write

[tex]\Rightarrow r^2=x^2+9^2\\\Rightarrow 14^2=x^2+9^2\\\Rightarrow x^2=196-81\\\Rightarrow x^2=115\\\Rightarrow x=\sqrt{115}\\\Rightarrow x=10.72\ cm[/tex]

A Radius Of A Circle Is 14 Cm And A Chord Has 18 Cm. What Is The Distance Between The Center Of The Circle

Related Questions

The sales of a particular brand of children's athletic shoes rose from $4,500,000 to $5,400,000. Find the percent of increase in sales. Round to the nearest tenth of a percent, if necessary

1. 0.2%
2. 20%
3. 16.7%
4. 83.3%​

Answers

answer: 20%
explanation: divide the difference between the two amounts by the original amount.
900,000 / 4,500,500 = .2
next you multiply by 100 to make it into a percentage instead of a decimal.
.2 x 100 = 20
20%
It’s 20 percent hope it helps

Plz help!!! I will brainliest and no links!! Also plz explain ur answer!!

Mrs. O and her family decided to go to Disneyland for vacation. When they left their house, they had to put 3/4 of a tank of gas in their car. When they got to St. George, they put 1/2 of a tank of gas in their car. How much more gas did they put in the car the first time?

Answers

Answer:

2/7

Step-by-step explanation:

So we multiply 3 by 2, and get 6.

Then we multiply 1 by 4, and get 4.

Next we give both terms new denominators -- 4 × 2 = 8.

So now our fractions look like this:

6/8 - 4/8

6 − 4 = 2

So the answer is:

2/8

Rationalize 1/√18

Will Mark as Brainliest for the best

Answers

Answer:

[tex]\frac{\sqrt{2} }{6}[/tex]

Step-by-step explanation

[tex]\frac{1}{\sqrt{18} } \\\frac{1}{\sqrt{18} } *\frac{\sqrt{18} }{\sqrt{18} } \\\frac{1*\sqrt{18} }{(\sqrt{18} )^2} \\\frac{1\sqrt{18} }{18} \\\frac{3\sqrt{2} }{18} \\\frac{\sqrt{2} }{6}[/tex]

The number of texts per day by students in a class is normally distributed with a 
mean of 130 texts and a standard deviation of 20 texts. Identify all true statements.

1. A little more than 2% of the  students text 
under 90 times per day.
2. About 50% of the students  text more than 130 times per  day.
3. About 15% of the students  send over 190  texts per day.
4. About 68% of the students  text between 100 and 130  times.
5. A student texting 130 times  per day would have a z score  of 1.
6. A student texting 160 times  falls between 1 and 2 standard deviations from the mean.

Answers

Answer:

1, 2, 6

Step-by-step explanation:

The z score shows by how many standard deviations the raw score is above or below the mean. The z score is given by:

[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean, \ \sigma=standard\ deviation[/tex]

Given that mean (μ) = 130 texts, standard deviation (σ) = 20 texts

1) For x < 90:

[tex]z=\frac{x-\mu}{\sigma} \\\\z=\frac{90-130}{20} =-2[/tex]

From the normal distribution table, P(x < 90) = P(z < -2) = 0.0228 = 2.28%

Option 1 is correct

2) For x > 130:

[tex]z=\frac{x-\mu}{\sigma} \\\\z=\frac{130-130}{20} =0[/tex]

From the normal distribution table, P(x > 130) = P(z > 0) = 1 - P(z < 0) = 1 - 0.5 = 50%

Option 2 is correct

3) For x > 190:

[tex]z=\frac{x-\mu}{\sigma} \\\\z=\frac{190-130}{20} =3[/tex]

From the normal distribution table, P(x > 3) = P(z > 3) = 1 - P(z < 3) = 1 - 0.9987 = 0.0013 = 0.13%

Option 3 is incorrect

4)  For x < 130:

[tex]z=\frac{x-\mu}{\sigma} \\\\z=\frac{130-130}{20} =0[/tex]

For x > 100:

[tex]z=\frac{x-\mu}{\sigma} \\\\z=\frac{100-130}{20} =-1.5[/tex]

From the normal table, P(100 < x < 130) = P(-1.5 < z < 0) = P(z < 0) - P(z < 1.5) = 0.5 - 0.0668 = 0.9332 = 93.32%

Option 4 is incorrect

5)  For x = 130:

[tex]z=\frac{x-\mu}{\sigma} \\\\z=\frac{130-130}{20} =0[/tex]

Option 5 is incorrect

6)  For x = 130:

[tex]z=\frac{x-\mu}{\sigma} \\\\z=\frac{160-130}{20} =1.5[/tex]

Since 1.5 is between 1 and 2, option 6 is correct

Which is a true statement?
A. m^2– n^2 = (m-n)(m-n)
B. m^2 + n² = (m + n) (m + n)
c. m^3 - n^3= (m - n) (m^2+ mn + n^2)
D. m^3+ n^3 = (m+n)(m^2 + mn +n^2)

Answers

Answer:

C-true

Step-by-step explanation:

A-false

B-false

C-true

D-false

used substitution

The product of the two expressions (m - n)(m + n) gives x² - 4

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the expression (m - n)(m + n):

Multiplying the two expressions gives:

m² + mn - mn - n²

This gives:

m² - n²

The product of the two expressions (m - n)(m + n) gives x² - 4

Find out more on equation at: https://brainly.com/question/2972832

#SPJ2

I’ll pay another & give extra points!

Answers

Answer:

Step-by-step explanation:

A baseball team played 75 games and lost 20% of them. How many games did the team lose?

Which of the following is the value of 2x3 + 5x + 9 wher
x= 10?

Answers

Answer:

Ans = 65

Step-by-step explanation:

2x3 + 5x + 9

2x3 + 5x10 + 9

6 + 50 + 9

56 + 9

= 65


Leila works mowing lawns and babysitting. She earns $8.30 an hour for mowing and $7.30 an hour for babysitting. How much will she earn for 6 hours of
mowing and 4 hours of babysitting?

Answers

Answer:

$79 total earnings

Step-by-step explanation:

Here, earnings = (hourly rate)(number of hours):

                          = ($8.30/hr)(6 hrs) + ($7.30/hr)(4 hrs), or

Total earnings =  $49.80               +  $29.20

    "          "         = $79.00

Please I need help answering this and please explain it to me thanks you the person that gets the answer correct will be marked the brainlyist person

Answers

If x = the number of cars paid to park it would be 8x
If y = the number of trucks paid to park it would be 10y
The total revenue of the day is 830
Equation: 8x+10y=830

7.865 rounded to the nearest whole number

Answers

Answer:

8

Step-by-step explanation:

Since the first decimal place is greater than 5, it rounds to 8, because 8 is the next whole number to 7.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

HELPP PLEASEEE thanks!

Answers

Answer:

about 1587

that is the answer to the question

Step-by-step explanation:

I just typed it in a calculator

Answer: D

Step-by-step explanation:

Area is pi x r^2

Diameter is 2r

46.7/2 = 23.35

3 x 23.35^2 =  1635.67 or closest to D

Solve the system by addition/subtraction:

3x - 2y = -11 and 3x - 4y = -19

Answers

Answer for this system: (-1, 4)

Is -33.1 a whole number

Answers

Answer:

No

Step-by-step explanation:

This is because it's part of a whole.  It has to be an integer to be whole.

Answer:

no because Whole numbers include positive integers along with 0 and also  Whole numbers include natural numbers that begin from 1 onwards and also this a negative are not considered as a whole number so its a no

Step-by-step explanation:

The circumference of a circle is 125.6
kilometers. What is the circle's radius?

Answers

Answer:

r = 20 km

General Formulas and Concepts:

Symbols

π (pi) ≈ 3.14

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Geometry

Circumference of a Circle Formula: C = 2πr

r is radius

Step-by-step explanation:

Step 1: Define

Identify variables

C = 125.6 km

Step 2: Solve for r

Substitute in variables [Circumference of a Circle Formula]:                        125.6 km = 2(3.14)rMultiply:                                                                                                             125.6 km = 6.28r[Division Property of Equality] Divide 6.28 on both sides:                            20 km = rRewrite:                                                                                                             r = 20 km

Answer:

197.29

Step-by-step explanation:

Multiple the circumfernece by 3.14 and then divide that number by 2.

Please answer

Evaluate 60st when s = 5 and t = -3.7

Answers

Answer:

[tex]60st \\ = (60 \times 5 \times - 3.7) \\ = - 1110[/tex]

Answer:

-1110

Step-by-step explanation:

given:

s = 5

t = -3.7

to find

60st

=60*s*t

=60*5*(-3.7)

=300*-3.7

=-1110

I got it partially right I think but I need help !

Answers

Answer:

U got it correct

Step-by-step explanation:

(15 Points)
Question: Triangle ABC has the coordinates A (4,2), B (7,6) and C (7,2). Is this an equilateral triangle, a right triangle, or an isosceles triangle. Use evidence to explain your answer.

Answers

Answer:

this is an equilateral triangle

by using distance formula

Question 12
A tree is standing next to a 40 foot high building. The tree has an 18 foot shadow, while the building has a 16 foot shadow. How tall is the tree rounded to the nearest foot?
А
42 feet
B
36 feet
c
45 feet
D
7 feet
2021 Illuminate Education Inc

Answers

Answer:

A

Step-by-step explanation:

Assignment
about the solutions.
Martin decided to buy 3 bags of grapes weighing 4 į pounds each. How much did all 3 bags of grapes weigh?

Answers

12 pounds

1 bag of grapes = 4 pounds

Martin bought 3 bags so:
4 pounds x 3 = 12 pounds

Hope this helps

Which of the following is equivalent to the expression below?
log 4-log 24

Answers

Answer:

log (1/6)

Step-by-step explanation:

Using the property that log a - log b = log(a/b), we get that log 4 - log 24 = log(4/24) = log (1/6)

I hope this helps! :)

It is 6 all you have to do is think what number with 4 equals 24 if you don’t no use a calculator and divide 24/4

Solve using substitution 4x+2y=10
X-y=13

Answers

X= 6 , y= -7
…………………

Answer:

Your solution is (6, -7)

Step-by-step explanation:

4x + 2y = 10

x - y = 13

We want to solve for one variable at a time.

Let's start with x.

x - y = 13

Add y to both sides.

x = 13 + y

Now we have an expression for x.

Plug this into each instance of x in the first equation.

4x + 2y = 10

4(13 + y) + 2y = 10

Distribute the 4 across the parentheses.

52 + 4y + 2y = 10

Combine like terms.

52 + 6y = 10

Subtract 52 form both sides.

6y = -42

Divide both sides by 6.

y = -7

Now that we know y, plug its value back into the expression for x.

x = 13 + y

x = 13 + (-7)

Simplify.

x = 13 - 7

Subtract.

x = 6

Your solution is (6, -7).

Hope this helps!

Need help ASAP, willing to give brainliest to the best answer!

Answers

1. 70, 2. None, 3. Mike

Answer:

Question number 1: 70

Question number2: 0

Question number 3: Mike team

Step-by-step explanation:

Question number 1: Just add all of the numbers together and you will get 70 as your answer.

Question number 2: Becuase everyone in the team has scored at least 1 point or greater.

Question number 3: Mike's team becuase he and his team has the most points out of all the other teams.

Hope this helps :D

can anyone simplify 5(x-6)

Answers

Answer:

5x - 30

Step-by-step explanation:

5(x-6)

Distribute the 5 to both terms inside the parentheses

5*x - 5*6

5x - 30

Answer:

5x-30

Step-by-step explanation:

use the distributive property

Lee kept track of how many kilometres she walked each week for the past two months.

These are the number of kilometers she walked each week.

8, 10 , 9, 10, 7, 8, 8, 4

Find the mean, median, and mode.

Which measure of central tendency will help her predict how much she will walk in week six.

Answers

Answer:

median: 8

mode: 8, 10

mean: 8

The mean will help her predict how much she will walk in week six.

Step-by-step explanation:

First order the numbers:

4, 7, 8, 8, 8, 9, 10, 10

median: 8

mode: 8, 10

mean: 8

Which measure of central tendency will help her predict how much she will walk in week six. The mean will help her predict how much she will walk in week six.

21 POINTS!! Thank you so much!! There’s also things on my page worth lots points points as well! So if you could help with those that would be awesome!!

Answers

Answer:

Second one

third one

fifth one

last one

Step-by-step explanation:

Based on the x intercepts we can write

a(x+1)(x-5)

where a is some constant

solve for a by plugging in some coordinates

let's plug in (1,-8)

-8=a(1+1)(1-5)

-8= -8a

a=1

therefore the quadratic is (x+1)(x-5)

expand this

x²-4x-5

To find out where something is decreasing/increasing it's easiest to take the first derivative

x²-4x-5= 2x-4

set this equal to 0

2x-4=0

2x=4

x=2

Which means that our two intervals are

(-∞,2)U(2,∞)

plug in any values in the intervals to see whether or not the function is increasing/decreation

Let's plug in 0 for (-∞,2)

2(0)-4

-4

It's negative so it's decreasing on this interval

DO the same thing with the other one

let's plug in x=3

2(3)-4

2

this is positive so it's increasing on this interval

Go back to the critical value of x=2 and plug this into the equation to find the max/min

(2+1)(x-5)= -9

This is a minimum because the cofeccient for the degree is positive

For the limit one notice that we have a positive, even degree which means the end behavior is positive, positive

what this means is as x approaches negative infinity it's infinity

and as x approaches infinity it's infinity

Which of the following theorems verifies that XYZ - UWV

Answers

Answer:

I think it's AA because the sum of a triangle is 180 and if you subtract the right angle and the other angle from 180 it gives you the same angle in the other triangle.

Step-by-step explanation:

180-(90+70)=20 The other angle in the first triangle

180-(90+20)=70 The other angle in the second triangle

These angles show that they're similar

please help me i have 5 minutes left: )! ill give Brainliest thanks<3

Answers

Answer:

B

Step-by-step explanation:

B

The temperature is below 2 degrees Fahrenheit.

t < 2


A number line going from 0 to 3. A closed circle is at 2. Everything to the left of the circle is shaded.
A number line going from 0 to 3. An open circle is at 2. Everything to the left of the circle is shaded.
A number line going from 0 to 3. An open circle is at 2. Everything to the right of the circle is shaded.

Answers

Answer:

A number line going from 0 to 3. An open circle is at 2. Everything to the left of the circle is shaded.

Step-by-step explanation:

First, remember that when an endpoint is not in the solution set, we graph an open circle. While if the endpoint is in the solution set, we graph it with a closed circle.

For example, in:

x > 2

x = 2 is not a solution, then we will have an open circle at x = 2

While in the case of:

x ≥ 2

x = 2 is a possible solution, then we graph with a closed circle.

Ok, in this case we have:

t < 2

t is strictly smaller than 2, and t = 2 is not a solution.

Then:

we will have an open circle at 2, and we need to shade all the values to the left of 2 (the values smaller than 2)

The correct option is:

A number line going from 0 to 3. An open circle is at 2. Everything to the left of the circle is shaded.

Answer:

the middle one.

Step-by-step explanation:

A rectangle has 8 tiles, 1/4 are blue, how many blue tiles are there

Answers

Answer: 2 easy

Step-by-step explanation:

Answer: 2

Step-by-step explanation:

Hope this helps and pls mark brainlist if it’s incorrect I will check it

Which correctly describes the height of a
cylinder?
A) The distance
between the two
circular
bases.
B) The distance
across the
circular
Base of the
cylinder

Answers

Answer:

A

Step-by-step

If i ever explain the height of a cylinder is would say from the top to the bottom.  So A is the correct answer

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