Mathematics College

In the figure below, if the radius of circle o
is 10, what is the length of diagonal AC of
rectangle OABC?​

In The Figure Below, If The Radius Of Circle Ois 10, What Is The Length Of Diagonal AC Ofrectangle OABC?

Answers

Answer 1

Answer:

The length of AC is 10 units

Step-by-step explanation:

In the given circle O

∵ AOCB is a rectangle

∵ OB and AC are the diagonals of the rectangle AOCB

∵ Diagonals of the rectangle are equal in lengths

→ That means OB and AC are equal in lengths

∴ OB = AC

∵ O is the center of the circle

∵ B is a point on the circle

∴ OB is a radius of the circle O

∵ The radius of the circle is 10 units

∴ OB = 10 units

∵ OB = AC

∴ AC = 10 units

∴ The length of AC is 10 units

Related Questions

A food manufacturer uses an extruder (a machine that produces bite-size cookies and snack food) that yields revenue for the firm at a rate of $200 per hour when in operation. However, the extruder breaks down an average of two times every day it operates. If Y denotes the number of breakdowns per day, and suppose Y follows a Poisson distribution. The daily revenue generated by the machine is R=1600−50Y^2. Find the expected daily revenue for the extruder.

Answers

Answer:

$1300

Step-by-step explanation:

λ = average = 2 per day, Y denotes the number of breakdowns per day,

But E(Y) = λ, E[Y(Y - 1)] = λ²

E(Y²) = E[Y(Y - 1)] + E(Y), hence:

E(Y²) = λ² + λ

The daily revenue is R=1600−50Y². The expected daily revenue for the extruder E(R) is:

E(R) = E(1600−50Y²) = 1600 - 50E(Y²)

E(R) = 1600 - 50(λ² + λ)

Substituting:

E(R) = 1600 - 50(2² + 2)

E(R) = 1600 - 300 = 1300

E(R) = $1300

How do you solve these? I guess I have to find how much they are in percents

Answers

Answer

1) 2500 %

2) 1800%

3) 3500%

Step-by-step explanation:Convert the decimal to a percentage by multiplying the decimal by  100  .

f(x)=3x2-15. find x if f(x)=-3

Answers

Step-by-step explanation:

Given

f(x) = - 3

Now

f(x) = 3x² - 15

-3 = 3x² - 15

3x² = 15 - 3

3x² = 12

x² = 12/ 3

x² = 4

x = + 2

Therefore x = + 2.

Which expression is equivalent to 6-(-8)?
-6+8
-6+(-3)
6+(-8)
6 + 8

Answers

Answer:

6+8 becuase -(-8) = +8

Step-by-step explanation:

I need help plz, ASAP

Answers

Answer for #5:

L=2,6,f=-2,6 ,m=3,1 ,g=-3,1 ,n=6,3 ,h=-6,3

Answer:

b

Step-by-step explanation:

The function f(x)= 3x + 25 models the yearly membership cost for a movie rental club, where x is the number of more • Last year, Sarah rented 41 movies. Last year, Tim rented twice the amount of movies as Sarah. How much more did Tim pay last year than Sarah?​

Answers

Answer:

Tim paid $123 more last year than Sarah.

Step-by-step explanation:

First, plug in 41 for the equation to get the cost Sarah has paid last year in which you should get $148 as the first part of your answer.  Since Tim rented twice the amount of movies Sarah has rented, you should multiply that number to get 82.  Then, plug in 82 for the equation to get the cost Tim paid last year in which you should get $271 as your second part of the answer.  Then subtract 148 from 271 to get a difference of $123 in which Tim paid more of than Sarah.

Solve the system using substitution.
X + 5y = 0
3y + 2x = -21
([?], 1)

Answers

Answer:

(-15, 3)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

x + 5y = 0

3y + 2x = -21

Step 2: Rewrite Systems

x + 5y = 0

Subtract 5y on both sides:          x = -5y

Step 3: Redefine Systems

x = -5y

3y + 2x = -21

Step 4: Solve for y

Substitution

Substitute in x:                     3y + 2(-5y) = -21Multiply:                                3y - 10y = -21Combine like terms:             -7y = -21Isolate y:                                y = 3

Step 5: Solve for x

Define equation:                    x + 5y = 0Substitute in y:                       x + 5(3) = 0Multiply:                                  x + 15 = 0Isolate x:                                 x = -15

help please, i will love you forever

Answers

Answer:

See Below

Step-by-step explanation:

I'm not going to do the homework for you, but I will complete three of the problems to help you understand the process.

We are converting between different units of measurement.

Here are the conversions to know:

12 inches = 1 foot

3 feet = 1 yard

1760 yard = 1 mile

5280 feet = 1 mile

#1

We need to convert 7 feet into inches.

7 feet * 12 inches per foot = 84 inches

Now we know:

84 inches = 7 feet

What's the difference is between 84 inches, and 18 inches?

84 inches - 18 inches = 66 inches

We need 66 more inches to get a length of 7 feet.

#2

We need to convert 2 miles into yards.

2 miles * 1760 yards per mile = 3520 yards.

Now we know:

3520 yards = 2 miles

What's the difference between 3520 yards and 2000 yards?

3520 yards - 2000 yards = 1520 yards

We need 1520 more yards to make 2 miles

#3

We need to convert 108 inches into feet.

108 inches / 12 inches per foot = 9 feet

Since there is no remainder,

9 feet = 108 inches.

Hopefully you can see what is going on here and do the rest yourself.

. In the formula I=P·r·t, what does I stand for?

Answers

Answer:

I stand for simple interest.

p stands for principal amount

R Stands for Rate of interest

T stands for Time

This is the formula for simple interest.

An accident in a laboratory results in a room being contaminated by a radioisotope with a half-life of 8 days. If the radiation is measured to be eight times the maximum permissible level, how much time must elapse before the room is safe to enter?

Answers

Answer:

24 days

Step-by-step explanation:

Let the permissible time be Ro

Let the initial activity be R= 8Ro

From;

0.693/t1/2 × t= 2.303 log R/Ro

Half life of the radionuclide= t1/2 = 8 days.

Hence;

0.693/8 × t = 2.303 log 8

t= 2.1/0.087

t= 24 days

Find f(2) If f(x) = (x + 1)2.​

Answers

Answer:

f(2)=9

Step-by-step explanation:

please help me with all​

Answers

Answer:

Part A.  Mike will save $1650 if he saves $150 for 11 months.

Part B.  Since $1750-$150 = $1600 Mike will need to save $100 in the 12th month. Since $100 is less than $150, he will be able to reach his goal.

Part C.   If Mike saves $160 every month for 12 months, he will have saved $1920.

On a piece of paper, graph this system of inequalities. Then determine which
region contains the solution to the system.

Answers

Answer:

B.Reigion D

Step-by-step explanation:

Answer:

Region B

Step-by-step explanation:

Cause i just know

NUMBER 6 ONLY. Please help. Only if you are SURE

Answers

Answer:

I think it should be zero

The American College Testing Corporation has a test called the ACT that is used for admissions to college. The American College Testing Corporation reports that students who attend 2-year colleges in the Midwest United States have an average ACT score of 21.5, with a standard deviation of 3.17. The president of the Minneapolis Community College wonders if students who attend her college have a ACT scores that are significantly different from the ACT scores reported by the American College Teaching Corporation. The president would perform a ___________ test, and use a z-critical value of _____.

Answers

Answer:

Two tailed test

+/-1.96

Step-by-step explanation:

Following this claim, the president would have to perform a two tailed test. Since he wants to know if the Act scores of students in her school are significantly different from what is reported by the ACT corporation.

At a confidence level that is 95%, the level of significance is = 0.05. then the z critical value to be used would be +/- 1.96

Which of the following equations is equivalent to
3x + 2 = 14?
A. 4x=14
B. 3x=12
C. 3x=16
D. -1x = 12

Answers

Answer:

C

is your answer. Glad I could help!

Step-by-step explanation:

3 + 2 = 5 + 14 = 19

A. 18

B. 15

C. 19

D. 11

It should be c I think so don’t get mad if I’m wrong

which list orders the number from least to greatest​

Answers

Answer:

Option C

-5, -2, 1, 3

Step-by-step explanation:

to get the list that orders the numbers from the least to the greatest, we need to, first of all, know the smallest and the largest numbers.

The largest number is easy to guess - it is undoubtedly 3.

However, the smallest number may be a bit tricky because we are dealing with negative numbers. When dealing with negative numbers, the numbers with greater magnitudes are actually smaller. This means that -5 is less than -3, which is less than -2, and so on.

Coming back to our question, we can now order the numbers as -5, -2, 1, 3 which is option C

What is the first step in the decision-making process, and why is it important?

Answers

The first step in making the right decision is recognizing the problem or opportunity and deciding to address it. Determine why this decision will make a difference to your customers or fellow employees.

Answer:

Recognizing the problem or opportunity and deciding to address it.

edge ⬇️

Hello can someone please help me with this.

Answers

Answer:

if there is equivalent ratio cookies should be 48

NEED HELP ASAP NOW OR I DIE. -9 to the 28th power as a positive or negative explain​

Answers

Answer:

Positive.

Step-by-step explanation:

Negative to a even power becomes positive

According to the graph, what is the value of the constant in the equation
below? I NEED HELP ASAP!

Answers

Step-by-step explanation:

2 * 6 = 6 * 2 = 10 * 1.2 = 12 * 1 = 12.

The constant value is 12 (C).

if it costs $55 for 20 people to go rent a movie at red box how much does it cost per person?​

Answers

55/20 = 2.75
It costs $2.75 per person

What fraction are equivalent to 5/20?

Answers

1/4, 10/40 & 25/100

Answer:

A. 4/16, because 5/20 = 1/4 and 1/4 = 4/16

Step-by-step explanation:

If u r talking about edge then this is correct, hope this helps :)

Find the distance between the points (2.8) and (54).​

Answers

Answer:

It's 51.2

Step-by-step explanation:

All u gotta do is subtract  54 - 2.8

Complete this division sentence.
763 + 23 =
r

Answers

Answer:

is it a division or addition

Step-by-step explanation:

for me the answer is 786

The answer is 33 because you have to reduce the expression, if possible, by cancelling the common factors.

g When comparing the 90 percent prediction and confidence intervals for a given regression analysis Multiple Choice the prediction interval is narrower than the confidence interval. the prediction interval is wider than the confidence interval. there is no difference between the size of the prediction and confidence intervals. no generalization is possible about their comparative width.

Answers

Answer:

the prediction interval is wider than the confidence interval

Step-by-step explanation:

Given that the confidence intervals depicts how a researcher got its parameter of interest, for example, regression coefficient, and prediction intervals show the researcher where to find the subsequent sampled data.

Therefore, Prediction intervals must cater to the uncertainty in estimating the population mean, and the random variation of the individual values.

Hence, when comparing the 90 percent prediction and confidence intervals for given regression analysis, a prediction interval is invariably wider than a confidence interval.

This explains the fact that the prediction interval will not collapse to a single value as the sample size rises.

5
Jody has 3 red marbles, 5 blue marbles, and 8 yellow marbles. What is the ratio of red marbles to blue marbles?

Answers

Answer:

3:5

Step-by-step explanation:

There are 3 red marbles

5 blue marbles

SO

3:5

Answer:  3:5

Step-by-step explanation:

There are 3 red marbles and 5 blues marbles so the ratio of red marbles to blue marbles will be     3:5   or  3 to 5,  or 3/5

Convert the following repeating decimal into a fraction. *
0.497

Answers

Answer:

497/1000

Step-by-step explanation:

sorry but that's as simplified as it gets

(66 POINTS)

Lara is trying to solve a puzzle where she has to figure out two numbers, x and y. Five times x is greater than or equal to 3 more than y. Also, 1 more than 4 times y is greater than twice x. Which graph represents the possible solutions?

Answers

Answer: number -5,4

Step-by-step explanation:

Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.
c2+2c

Answers

Answer:

Step-by-step explanation:

c2+2c+4

(c+2)^2

^ is the exponent

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