A circle has diameter 18 inches, and a chord is 14 inches long. What is the distance in inches from the chord to the center of the circle, to the nearest hundredth?

Answers

Answer 1

Answer:

Let O be the center of a circle whose radius is r cm , in which AB= 14 cm long

cord is at a distanceof 24 cm from O. Draw a perpendicular OD on AB , thus ,

OD= 24 cm.

In right angled triangle. ODB

OB^2 = OD^2+ DB^2

r^2 =(24)^2+(AB/2)^2 = 576+(14/2)^2

r^2 = 576+ 49=625

r = √625. =25 cm. Answer.


Related Questions

Can someone help me with this please!!

Answers

Step-by-step explanation:

part A

all listed features (A - F) are correct and to be selected.

part B

the average rate of change is

(f(x2) - f(x1)) / (x2 - x1)

so,

(f(0) - f(-2)) / (0 - -2) = (2 - 0) / (0 + 2) = 2/2 = 1

12. The area of the flower garden is 9.7 square meters

greater than the herb garden. What is the area of the

flower garden?

Answers

Answer:

F = H + 9.7 m^2

Step-by-step explanation:

Let F be the area of the Flower garden and H the area of the Herb garden.

F = H + 9.7 m^2

There is no area or information given on the Herb garden, so this is the best we can say.

factor completely.
-3x^2+9x+30

Answers

Answer:

− 3 ( x − 5 ) ( x + 2 ) hope this helps

Step-by-step explanation:

Answer:

− 3 ( x − 5 ) ( x + 2

Step-by-step explanation:

Pick the corrrect one form the dropdown

Answers

Answer:

hard

Step-by-step explanation:

you're correct

Multiply: (3x)(x4 + 5)

Answers

Answer:

12x² + 15x

Step-by-step explanation:

(3x × 4x) + ( 3x × 15)

Answer:

(3x) (X 4+5)

3x×(x×4+5)

3x×(4x+5)

12x^2+15x answer

Is -9 a real or imaginary number?

Answers

A real number is a number that can represent any continuous quantity.It includes both rational and irrational numbers.Since, -9 is a rational number, then it is a real number.

Answer:

-9 is a real number.

Hope you could get an idea from here.

Doubt clarification - use comment section.

Need some help if u don’t mind :)

A)94
C)82
C)76

Answers

Answer:

82

Step By Step Explanation:

I would have choose 86 but there is no 86 since 82 is closer I choose it.

A full angle equals 180 so 180-94=86.

Hopes This Helps

-)) The green marble is closer to the target than the white marble. The purple marble is
closer to the target than the green marble, and the white marble is closer to the target than
the blue marble. The purple marble is not farther from the target than the white marble.
Which marble is farthest from the target?
the purple marble
the blue marble
the green marble
the white marble

Answers

Should be the blue marble

How much does darma earn if she babysits 6 hours

Answers

Answer:

42$

Step-by-step explanation:

Since she earns 28 $ in 4 hours

Let the hour : X

4x=28

X=28/4

X=7

Since the question want 6 hours

Then she earns

6x7=42$

a student answered 86% of the questions on a test correctly. he received a grade of 98%. how many questions were on the test?

Answers

Let the number of questions on the test equal X which would be 100%

They answered 86 which equaled 98

Set up a ratio:

X/86 = 100/98

Cross multiply:

98X = 8600

Divide both sides by 98:

X = 87.75

Round to 87 questions

What is an expression equivalent to 25x^2+28x+16

Answers

See the attached picture

i need to find the zeros by factoring but im stuck plss help me i think the zeros may be 0, 1, -4, and 4 but i dont know how to get them??

Answers

this should help you on how to get the zeros and the answer for the bottom question is A
In other terms, once factored, you can set each parenthesis equal to zero. So like for (x-1), you set to zero, and solve. This gives factors. If the x is outside of parenthesis, like the -4x, then there is a root of zero.

In this case. Factor by grouping, then you will have several parenthesis multiplied by each other. Set each to zero

One research study of illegal drug use among​ 12- to​ 17-year-olds reported a decrease in use​ (from 11.4% in​ 1997) to ​9.8% now. Suppose a survey in a large high school reveals​ that, in a random sample of 1046 ​students, report using illegal drugs. Use a 0.05 significance level to test the​ principal's claim that illegal drug use in her school is below the current national average.

Answers

Using the z-distribution, it is found that since the test statistic is more than the critical value for the left-tailed test, it is found that there is not enough evidence to conclude that illegal drug use in her school is below the current national average.

At the null hypothesis, it is tested if drug use in her school is not below the national average, that is:

[tex]H_0: p \geq 0.098[/tex]

At the alternative hypothesis, it is tested if it is below, that is:

[tex]H_1: p < 0.098[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.

93 out of 1046 reported using illegal drugs, hence the parameters are:

[tex]n = 1046, \overline{p} = \frac{93}{1046} = 0.0889, p = 0.098[/tex]

Hence, the value of the test statistic is:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.0889 - 0.098}{\sqrt{\frac{0.098(0.902)}{1046}}}[/tex]

[tex]z = -0.99[/tex]

The critical value for a left-tailed test, as we are testing if the proportion is less than a value, is [tex]z^{\ast} = -1.645[/tex]

Since the test statistic is more than the critical value for the left-tailed test, it is found that there is not enough evidence to conclude that illegal drug use in her school is below the current national average.

To learn more about the use of the z-distribution to test an hypothesis, you can take a look at https://brainly.com/question/25584945

Which statement is true about the equation 4.5z = 4.5z − 4.25 + 6.25? It has no solution. It has one solution. It has two solutions. It has infinitely many solutions.

Answers

Answer:

it has infinitely many solutions

Step-by-step explanation:

hope it help bro

Answer:

d

Step-by-step explanation:

Five swimmers are entered into the competition. Four of the swimmers have had their turns. Their scores are 9.8s, 9.75s, 9.79s, and 9.81s. What score must the last swimmer get in order to win the competition?

Answers

Answer:

We must order these decimals from least to greatest. Then we must determine how the least compares with the winning score.

9.80 -> 3

9.75 -> 1

9.79 -> 2

9.81 -> 4

The least decimal is 9.75. Now we must determine how 9.75 compare with the winning score.

The last swimmer must get a score less than 9.75 s in order to win.

Step-by-step explanation:

Hopes this helps

Answer:

less than or equal to 9.74.

convert NPR 180000 into
1. USD

Answers

Answer:

Solution here,

1 US dollar=NRS 120.74

Therefore Rs 180000= 180000/120.74

=$1490.99

If AB∥ED and m∠ABC = m∠DEF. Prove CB|| EF.

Answers

Explanation:

( ) . . . . stuff that is given

∠ABE ≅∠DEG . . . . corresponding angles at a transversal

∠ABC +∠CBE = ∠ABE . . . . angle addition postulate

∠CBE = ∠ABE -∠ABC . . . . subtraction property of equality

∠DEF +∠FEG = ∠DEG . . . . angle addition postulate

∠FEG = ∠DEG -∠DEF . . . . subtraction property of equality

∠FEG = ∠ABE -∠ABC . . . . substitution property of equality

∠CBE = ∠FEG . . . . substitution property of equality

CB║EF . . . . converse of corresponding angles theorem

What is the solution to the following system 3x+3y+6z=9

Answers

Answer:

x=1 y=1 z=1

Step-by-step explanation:

3+3+3=9

and

3x+3y+3z=9

This cannot be answer, which is in contrary to the other posted answer. This is because there is not a second equation. Meaning that some variables could be weird numbers, such as decimals, and manage to be equal to 9. In fact, there are many many many answer to this question. It is simply that 1 for all variables is an easy answer

what is the greatest common factor of 32 and 56

Answers

its 8. hope this helps you.

X-Y=5, 6X-6Y =?


I think it's 30, but i don't know , I tried to think of a way and I thought about taking the 6 as a common and multiplying it to X-Y, Like :6(X-Y), and since X-Y =5 it'll be 30?​

Answers

Answer:

Yes, it is 30

Step-by-step explanation:

And yes, you thought it through correctly.  6(X-Y) = 6*5

6(X-Y) = 30

Answer:

[tex]\displaystyle 6x - 6y = 30[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Equality Properties

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

Terms/Coefficient

Factoring

Step-by-step explanation:

Step 1: Define

Identify.

x - y = 5

Step 2: Solve

Factor:                                                                                                               [tex]\displaystyle 6x - 6y = 6(x - y)[/tex]Substitute in expression:                                                                                 [tex]\displaystyle 6x - 6y = 6(5)[/tex][Order of Operations] Evaluate:                                                                      [tex]\displaystyle 6x - 6y = 30[/tex]

Given this graph of the function f(x) a) b) c) d) please a need help

Answers

Answer:

a) 2

b) -2

c) -2

d) 1/2

Step-by-step explanation:

1) f(-4) means that x=-4 and you must locate the y value on the graph

2) f(2) means that x=2 and you must locate the y value on the graph

3) f(x)=4 means that y=4 and you must locate the x value on the graph

4) f(x)=-1 means that y=-1 and you must locate the x value on the graph

please Help NEED NOW

thank you so much

Answers

Divide the rise by the run

URGENT WILL MARK BRAINLIEST 1. Suppose Q is the midpoint of PR. Use the information to find the
missing value.
PQ = 32 + 10 and QR = 2 + 14
Find PR.
A. 32
B. 16
C. 4
D. 2

Answers

Answer:

A.32

Step-by-step explanation:

Plz, Help Me Quickly!!!
What is the equation of a horizontal ellipse with a major axis = 12 and a minor axis = 10?

Answers

The equation of the horizontal ellipse is [tex]\frac{x^2}{144}+\frac{y^2}{100}=1[/tex]

Ellipse is a plane curve surrounding two focal points, such that for all points on the curve, the sum of the two distances to the focal points is a constant.

The standard form of an ellipse with horizontal major axis is:

[tex]\frac{x^2}{a^2}+\frac{y^2}{b^2}=1[/tex]

Where a > b

since a = 12, b = 10, hence:

[tex]\frac{x^2}{12^2}+\frac{y^2}{10^2}=1\\\\\frac{x^2}{144}+\frac{y^2}{100}=1[/tex]

The equation of the horizontal ellipse is [tex]\frac{x^2}{144}+\frac{y^2}{100}=1[/tex]

Find out more on ellipse at: https://brainly.com/question/19507943


You know the following information about triangle ABC and triangle DEF:
AB-DE and What additional information is needed to prove that the triangles are congruent by SAS?
AB=DE
AC=DF
BC=EF

Answers

Answer:

  (b)  AC = DF

Step-by-step explanation:

In order to use SAS, you need to show congruence of the sides on either side of the angle. One of those sides is given as congruent: AB = DE. (This given rules out choice A, which is identical.)

The remaining needed side will have points A and D as one of the points defining the side. This rules out choice D.

The relation between other angles is irrelevant to SAS, so choice C is ruled out.

Choice B: AC = DF will supply the information necessary to show congruence by SAS.

Consider the line y=-5/4x + 5
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?

Answers

Answer:5

Step-by-step explanation:

Find the value of x

Answers

Answer:

x = 8

Step-by-step explanation:

is an isosceles triangle, so 12 = x + 4

12 = x + 4

x = 12- 4

x = 8

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

check

12 = 8 + 4

12 = 12

the answer is good

Simplify the expression 2i(4.5 – 20i) + 3i. Write your answer in the form a + bi.

Answers

Answer:

40 + 12i

Step-by-step explanation:

note that i² = - 1

2i(4.5 - 20i) + 3i ← distribute parenthesis by 2i

= 9i - 40i² + 3i

= 9i - 40(- 1) + 3i

= 9i + 40 + 3i

= 40 + 12i

Which set of ordered pairs represents a function?
a
O {(7,4), (3,8), (-4, –4), (0,4)}
O {(-8,0), (-5,6), (-8, 1), (-6,5)}
{(-5, 1), (3, -7), (2, -4), (2,7)}
O {(4,2), (4, -9), (-9, -6), (7,1)}

Answers

The first set
(7,4), (3,8), etc

The FitnessGram™ Pacer Test is a multistage aerobic capacity test that progressively gets more difficult as it - IM JUST KIDDING I ACTUALLY NEED HELP THO​

Answers

45 degrees. A triangle should add up to 180 degrees. So 76+59+?=180. The ? Is 45 so that is your answer. Another way is to take 180 and subtract 59 and 76 which will leave you with 45.
Following the Triangle Sum Theorem, the three angles in a triangle must sum up to 180°.

Therefore, we can create an equation to find the measure of angle 1, given the two other angles.

76+59+x=180. x=the measure of angle 1 (unknown).

135+x=180. [76+59=135]

135-135+x=180-135 [Isolate x by subtracting 135 from both sides]

x=45.

Therefore, the angle measure of angle 1 = 45°
Other Questions
At Christmas you re......gifts from your friends and family. what is the missing word? a cell makes and secretes a certain protein. explain where it is made, how it is secreted from the cell and what kind of transport is used I need help because I think my answer is wrong . :((( Edward deposited $6,000 into a savings account 5 years ago. The simple interest rate is 4%. How much money did Edward earn in interest? Need answer in under 10 minutes Fill in the Correct Alphabet in blank ~ Teen_Options : A. y B. y C. y D. y it's hard !! which is the following is a modern method used to pressure food1. sprey drying 2.salting 3. smoking4. Honey Find the value of x in the figure. how do i solve this Someone please help with this question. From my knowledge the answer I believe to be correct is 4Em but Im still not so sure. Please explain!Answer choices:1/2 EmEm2Em4Em el gobierno de costa rica insiste en que sus ciudadanos _______ acceso a los servicios medicos. tienan tienen tengan tenguen What subject did charity burbage teach at hogwarts? Which comparison statements are true? What is the purpose of adding transition words to a report?to pique the readers attention about the report topicto help sentences and paragraphs flow from one to the nextto remind the reader what he or she learned about in the reportto draw attention to important points and ideas but you will receive power when the holy spirit comes on you; and you will be my witnesses in jerusalem, and in all judea and samaria, and to the ends of the earth. I'm a father's child, a mother's child, yet no one's son. What am I? Which of the following is NOT a true statement? pls answer i'll give brainliest HELP PLEASE TO ANSWER ALL THIS I NEED TO FINISH THISQuestion # 3Multiple ChoiceWhat considerations are important when working with geriatric patients?have patiencelisten to the patientpreserve their privacyall of the aboveQuestion # 4Multiple ChoiceIn geriatrics, why is it MOST important not to be too focused on one aspect of care?There may not be a good chance for a recovery.The family may not want to focus on the illness.The patient may want to talk about other things.The patient may have multiple medical problems.Question # 5Multiple ChoiceIn the geriatric team model, it is important to include the patient and caregivers from the beginning.TrueFalseQuestion # 6Multiple ChoiceWhat do MOST geriatric teams have in common?They are located in different areas.They make decisions by team consensus.They are inflexible due to the patients multiple needs.All of the aboveQuestion # 7Multiple ChoiceThe overall goal of a geriatric team is to _____.shorten the length of the hospital staycure the illnessenhance the quality of lifereduce the number of missed appointmentsQuestion # 8Multiple ChoiceThe idea of interdisciplinary teams _____.has been around since the 1940sis new to health carehas been around since ancient timesstarted in the 1970s and 1980sQuestion # 9Multiple ChoiceIn order for teams to handle conflict, _____.they should have one individual in charge of communicatingthey should rely on the leaderthey should be focused on one aspect of carethey should have a plan in place of how to handle conflict within the teamQuestion # 10Multiple ChoiceA team member that can serve as a point of contact for the team can _____.facilitate patient information flowimprove patient satisfactionresult in better patient complianceall of the above Which of the following is true of (1, 4) and (1, 7)?. Three Snickers bars and two Butterfinger bars contain a total of 23 grams of protein. One Snickers bar and one Butterfinger bar contain a total of 10 grams of protein. How much protein does one Snickers bar contain? 35. What is the 40th term of the arithmetic sequence-17,-47, -77, -107...