A circle with center G is shown in the figure below.

A Circle With Center G Is Shown In The Figure Below.

Answers

Answer 1

On solving the provided question, we can say that if the length of GF IS 8 unit then  the length of HI(Diameter) = 16 unit.

What are diameter and radius?

The diameter of a circle cuts through the center whereas the radius extends from the center to the edges of the circle. The diameter of a circle effectively divides the shape in two.

A chord is a straight line that is drawn between two points on a circle when it is used in mathematics (or more generally, on any curve). A table of chords was the first trigonometric table ever discovered. Nowadays, the sine is employed in its place (sines and chords are connected), but chords might be more understandable to some people.

Radius is "GF"

diameter is "HI"

Cord is "EJ".

If the length of GF IS 8 unit

then the length of HI(Diameter) = 16 unit.

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Related Questions

What is the domain of the function y=3^√x?
-∞AX<∞
O 0 O 0 0 1

Answers

Answer: The domain of a function is the set of all input values (x-values) for which the function produces a valid output value (y-value).

For the function y = 3^√x, the input value x can't be negative because the value under the square root should be non-negative and 3^√x is defined for all x in the domain of real numbers. This means that the domain of the function y = 3^√x is (-∞,∞).

Step-by-step explanation:

The domain of the function is  [0, ∞).

What is a function?

A function has an input and an output.

A function can be one-to-one or onto-one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The function y = 3^√x has a base of 3, which means that the output of the function is always a positive number.

For the function to be defined, the input x must also be a positive number or zero, as the square root of a negative number is not a real number.

Therefore,

The domain of the function is all non-negative real numbers, or [0, ∞).

In interval notation, the domain can be written as [0, ∞).

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A coin with a head on one side and a tail on the other is tossed, followed by a six-sided die with faces marked 1 through 6 being rolled. If each outcome is equally likely, what is the probability of each outcome?

Answers

The probability of each outcome is given as follows:

1/12.

How to obtain the probability?

A probability is obtained as the division of the number of desired outcomes by the number of total outcomes.

For this problem, we have that the total number of outcomes is of twelve, as:

The coin has two outcomes.The die has six outcomes.

Hence:

6 x 2 = 12.

(applying the Fundamental Counting Theorem).

Meaning that the probability of each outcome is given as follows:

1/12.

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Reasoning with linear equations

Answers

The answer is D, I think. There’s parentheses and something outside of the parentheses which means that something outside of the parentheses will distributed to whatever is inside the parentheses

Write the slope-intercept form of the equation of each line: 1) x − y = −3, 2) 2x + y = −6, 3) 4x + y = −7

Answers

The slope - intercept form of the equations of each of the given lines is:

y = x + 3y = - 2x - 6 y = - 4x -  7

How to find the slope - intercept form?

The slope - intercept form is:
y = mx + b

Where

m = slope

b = y - intercept

Basically, given the equations of each line, you are to move y such that it goes to the left of the equation and remains there alone, while the other figures stay on the right side.

Equation 1:

x − y = −3

x + 3 = y

y = x + 3

Equation 2:

2x + y = −6

y = - 6 - 2 x

y = - 2x - 6

Equation 3 :

4x + y = −7

y = - 4x -  7

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Find three consecutive even integers such that the sum of twice the first and three times the second is 4 more than twice the third.

Answers

Answer:

  2, 4, 6

Step-by-step explanation:

You want three consecutive even integers such that the sum of twice the first and three times the second is 4 more than twice the third.

Setup

Let x represent the middle integer. Then the first is (x-2) and the third is (x+2). The given relation is ...

  2(x -2) + 3x = 2(x +2) +4

Solution

Simplifying the equation gives ...

  2x -4 +3x = 2x +4 +4

  5x -4 = 2x +8 . . . . . . . collect terms

  3x = 12 . . . . . . . . . . . add 4-2x

  x = 4 . . . . . . the middle integer

The integers are 2, 4, 6.

__

Additional comment

It often simplifies the equation if the variable is used to represent the middle of the consecutive integers in problems like this. In this particular problem, there is not a great advantage.

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What is the product of 6\sqrt{8}6 8 ​ and 3\sqrt{24}3 24 ​ in simplest radical form?

Answers

The product of 6√8 and 3√24 in simplest radical form is 144√3

How to determine the product

We can solve this problem by using the distributive property and simplifying the radicals.

6√8 * 3√24 = (6 * 3) * √(8 * 24)

Evaluate the products

6√8 * 3√24 = 18 * √(8 * 24)

Evaluate the products of radicals

6√8 * 3√24 = 18 * √(192)

Simplify the radical

6√8 * 3√24 = 18 * 4 * √12

So, we have

6√8 * 3√24 = 72√12

Now to simplify the radical, we can divide the radicand by the greatest perfect square that is a factor of it.

So, we have

72√12 =  72 * 2 * √3

= 144√3

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How many different ways can you rearrange the letters in the word RECEIVER

a. 40320
b. 1120
C. 70
d. 3360
e. 20160
f. 6720

Answers

Answer:

don’t care 9

Step-by-step explanation:lol

Jason makes 8 gallons of punch he serves 1 pint containers now he has 12 pints of punch how many pints of punch did jason serve

Answers

The pints of punch that Jason served were 52 pints.

How many pints are in a gallon?

The number of pints that make up a gallon is 8 pints. So, in 8 gallons, we can expect that there will be 64 pints. Now, we are told that Jason served 1 pint container and now he has 12 points remaining, what we are to do is to subtract the remaining pints from the original pints that he had.

Since the original was 64 pints, removing 12 pints will amount to 52 pints. This means that 52 pints of punch were served in the 1-pint containers.

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-5(2x+14)=-2(x+63) x=6

Answers

The value of the variable, x is 7

What are algebraic expressions?

Algebraic expressions are defined as expressions that are composed of terms, coefficients, variables, constants and factors.

These mathematical operations are also made up of arithmetic operations. These operations includes;

AdditionSubtractionMultiplicationFloor divisionBracketParenthesesDivision

From the information given, we have;

-5(2x+14)=-2(x+63)

expand the bracket

-10x -70 = -2x - 126

Now, collect like terms

-10x + 2x = -126 + 70

Add or subtract the terms

-8x = -56

Make 'x'' the subject

x = 7

Hence, the value is 7

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The cross-section of the reflector in a flashlight is a parabola. Suppose the light bulb is located at the focus of the cross-section, 2.5 cm in front of the vertex.

Assume the vertex is at the origin and that the parabola is concave left (it opens left as depicted in the picture). What is the equation for the cross-section of the reflector?

Answers

The equation of the cross-section of the reflector which is in the form of a parabola is y² = -10x

What is a parabola?

A parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped. It fits several superficially different mathematical descriptions, which can all be proved to define exactly the same curves.

Given that, The cross-section of the reflector in a flashlight is a parabola, the light bulb is located at the focus of the cross-section, 2.5 cm in front of the vertex.

We know that, the equation of the parabola turned to the left i.e. to the negative side of the coordinate system is:

y² = -2px  

where p is the parameter of the parabola

The relationship between the parameter and the focus is.

p = 2 f  

p = 2×2.5 = 5 cm  

Since, the equation of the parabola is:

y² = -2p

Therefore, put p = 5

y² = - 2×5x = -10x

y² = -10x

Hence, the equation is y² = -10x

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please help me with this

Answers

Answer: B

Step-by-step explanation: 85.10 is total. 46 per minutes.  $85/$/Min.46. The $ cancels and you get minutes.

Find the zeros of the function algebraically. (Enter your answers as a comma-separated list.)
f(x) = √5x + 4

X = ?

Answers

Answer:

-4/√5

Step-by-step explanation:

when f(x) = 0.

we can set the function equal to 0 and solve for x:

√5x + 4 = 0

√5x = -4

x = -4/√5

So the zero of the function is x = -4/√5

is either x = 6 or x = 4 a solution to 33 - x = 27?
A: x = 6 is a solution, but x = 4 is not.
B: x = 4 is a solution, but x = 6 is not.
C: Neither are solutions
D: they are both solutions

Answers

Answer: A: x=6

Step-by-step explanation: If we plug in 6 for X in the equation we get

33 - 6. 33 - 6 does equal 27.

Now to make sure X = 4 is not an answer, we plug that in too. 33 - 4.

33 - 4 = 29, so this is not the answer.

Answer:

A: x = 6 is a solution, but x = 4 is not.

Step-by-step explanation:

33-x=27

-33    -33

-x=-6

-x/   -x/

x=6

Find all the missing side and angles < p

Answers

Therefore , the solution of the given problem of triangle comes out to be ∠P = 30° , PQ = 4√3  and  PN = 2.

A triangle is what exactly?

An triangle is a polygon since it has four or more parts. It is a simple geometric shape. A square having angles A, B, and C is referred to as a triangle ABC. When the sides are not collinear, Euclidean geometry generates a single plane and square. If a triangle has three sides and three corners, it is a polygon. The corners of a triangle are where its three sides meet. The sum of the angles in a triangle is 180 degrees.

Here,

Given :  A right triangle,

=> ∠P + 60° + 90° = 180°

=>  ∠P = 180° - 150°

=> ∠P = 30°

For PQ

=> Tan 60°  =  √3

=> PQ /4 = √3

=> PQ = 4√3

For PN ,

=> Sin 60°  = √3/2

=>  4√3  / PN =  √3/2

=> PN = 2

Therefore , the solution of the given problem of triangle comes out to be

∠P = 30° , PQ = 4√3  and  PN = 2.

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HELP ME OUT PLEASE I NEED HELP

Answers

The equation x / y = 4 is an example of direct variation formula. (Correct choice: A)

How to find a case of direct variation formula

Herein we find four types of equations, of which we must determine what choice represents a direct variation formula, whose definition is shown below:

y ∝ x

y = k · x

Where k is the constant of proportionality.

This form is equivalent to the following expressions:

y / x = k, x / y = 1 / k

Then, by direct inspection, we see that equation x / y = 4 represents a direct variation formula.

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**********************EXTRA CREDIT********************
A drink stand is selling small drinks for $2 each and large drinks for $4 each. One day, a total of 150 drinks were sold for $552. How many large drinks were sold?

Answers

Answer:

Step-by-step explanation:

Refer to the attached image.

IXL Question‼️
Write the answer in the form mx + b

Answers

The equation in slope intercept form is y=-9x-8

What is slope?

Slope is defined the rate of change of y with respect to x.  the slope is also denoted by increase in y over increase in x.

The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept( the y-coordinate of the point where the line intersects the y-axis).

The equation of the slope intercept form is in the form y= mx +c

The given equation  y= -9x +9

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Kellen is having a party at a restaurant that charges $350 to rent a room and $12.50 per person for the meal. His maximum budget is $1500 . He will have x people at the party. Which of the following must be satisfied by x if Kellen does not exceed his budget?

Answers

Answer:

Step-by-step explanation:

350 + x people = 1500

x = 1500 - 350

x = 1150 / 12.50

x = 92 people

Unit price of 3 scarves totaling 26.25

Answers

Answer:

Step-by-step explanation:

26.25 divided by three = 8.75

Convert each rate using dimensional analysis 44yds/s=?mi/h

Answers

Using dimensional analysis we have converted 44 yards/sec = 90 miles/hour.

What is dimensional analysis?

Dimensional analysis is the study of how dimensions and units of measurement affect the relationship between physical quantities.

Dimensional analysis is crucial because it maintains the consistency of the units, which facilitates accurate mathematical computation.

As we use conversion factors to obtain the same units, dimensional analysis is also known as the Factor Label Method or Unit Factor Method.

We know that 1 yards/sec = 2.04545 miles/hour

Here given that 44yds/s = ? miles/hour

Lets solve

1 yards/sec = 2.04545 miles/hour

44 yards/sec = 44 × 2.04545 miles/hour

44 yards/sec = 89.9998 miles/hour

44 yards/sec = 90 miles/hour

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If you are surveying students about whether or not they own a bicycle, where are you more likely to get a random sample?

A) at a bicycle parking area

B) at a bicycle repair shop

C) inside the school cafeteria

Answers

Answer: C. Inside the school cafeteria.

Step-by-step explanation:

C- inside the school cafeteria

What are the solutions of 2 - 5x+7=0?
○ A. x = 5+3² or x =
OB. x =
5+1v2 or 2 = 5-√2
OC. x =
- 5+₁v²
5+√2
2
or x =
○ D. x = 5+√³ or x =
5-i√2

Answers

The solution to the equation x^2-5x+7=0 are x=5/2+3/2i and x=5/2-3/2i

What are the equations?

A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation. as in 3x + 5 Equals 15, for instance. Equations come in a variety of forms, including linear, quadratic, cubic, and others. In this tutorial, let's study more about math equations.

What are the 3 types of equations?

There are three major forms of linear equations: point-slope form, standard form, and slope-intercept form.

According to the given question, we see

by solving the inequality we get

x=5/2+3/2i and x=5/2-3/2i

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whats the answer with all the work shown?

Answers

The answer to the work shown is x = 8.

The law of indices.

The law of indices are laws that has to be applied to expressions involving powers or fractions. These laws have individual application.

Considering the given question, we have;

16^(3x - 6) = 64^(x + 4)

It can be deduced that, the factors of;

16 = 4 x 4

   = 4^2

and

64 = 4 x 4 x 4

    = 4^3

So that;

4^2(3x - 6) = 4^3(x + 4)

Divide through by 4 to have;

2(3x - 6) = 3(x + 4)

6x - 12 = 3x + 12

collect like terms,

6x - 3x = 12 + 12

6x = 24

x = 24/6

  = 8

The answer to the work shown in the question is: x = 8

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What is the value of log0.5^16

Answers

Answer:

Step-by-step explanation:

log(0.5)^16=log(1/2)^16

                  =log(2^(-1))^16

                  =-16log(2)=-4.81647

Solve for y, x+10i=y-yi

Answers

The value of y in the equation that we have here is given as , y = x + (10 + y)i

How to solve for y

To solve for y, we can start by isolating y on one side of the equation. We can do this by adding yi to both sides:

x+10i+yi = y-yi+yi

This simplifies to:

x+10i+yi = y

We can then rearrange the equation to get:

y = x+10i+yi

So, y = x + (10 + y)i

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The management team of a company with 10,000 employees is considering installing charging stations for electric cars in the company parking lots. In a random sample of 500 employees, 15 reported owning an electric car. Which of the following is a 99 percent confidence interval for the proportion of all employees at the company who own an electric car?
answer choices
0.03
±
2.326
(
0.03
)
(
0.97
)
500
0.03±2.326 500
(0.03)(0.97)


0.15
±
2.326
(
0.15
)
(
0.85
)
500
0.15±2.326 500
(0.15)(0.85)


0.03
±
2.576
(
0.03
)
(
0.97
)
500
0.03±2.576 500
(0.03)(0.97)


0.15
±
2.576
(
0.15
)
(
0.85
)
500
0.15±2.576 500
(0.15)(0.85)

Answers

The confidence interval is (0.0104, 0.0496) (can include those endpoints too)

You can find the standard mean error and then use that to find the confidence interval limits.

The 99% confidence interval for the proportion of all employees at the company who own an electric car is given by

Lower limit = 0.0104

Upper limit = 0.0496

The confidence interval is (0.0104, 0.0496) (can include those endpoints too)

To find the confidence interval for proportions

Let the sample size be n

Let the interested quantities in the sample be present x times

Let the confidence level be of p%.

Then the level of significance is given by

The standard mean error is calculated by:

Then the confidence interval limits can be found by

Using the above formula for finding the confidence interval

We have n = 500, x = 15 and

Finding the standard mean error:

From the z tables, we get z = 2.5758

Thus, the confidence interval is obtained by

Lower limit = 0.0104

Upper limit = 0.0496

Thus,

The 99% confidence interval for the proportion of all employees at the company who own an electric car is given by

Lower limit = 0.0104

Upper limit = 0.0496

Therefore, The confidence interval is (0.0104, 0.0496) (can include those endpoints too)

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A cube has sides that measure 12 inches each.
(a) Write an expression using an exponent that
represents the volume, V, of the cube.
12=V
12.
12
12
b) Evaluate the expression from (a) to fund the
cube's volume. Use the correct units.
12 in
12 in
w many cubes that measure 2 inches by 2 inches by 2 inches would fit inside a cube
asures 10 inches by 10 inches by 10 inches? Justify

Answers

This calculation yields a volume of a cube equal to 1728 cube inches. In order to calculate the volume, the length must be multiplied by itself three times.

How do you write the volume of a cube?

Volume =[tex]a^{3}[/tex], where an is the length of the cube's sides or edges, is how you can calculate the volume of a cube.

A.) 12 × 3 cubic inches

B.) Volume of a cube equals length × breadth × height, which is                    12× 12 × 12 = 123 = 144 × 12 = 1728 cube inches. V=[tex]a^{3}[/tex]=123=1728 [tex]cm^{3}[/tex]is the result, giving the cube's volume.

1,728 times twelve cubed. The term "x cubed," or cubing a number, is identical to: x cubed equals x 3. A real number with a cube equal to 12 is the cube root of 12. It is about equal to 2.289 to take the cube root of 12. Volume per volume, or % v/v, is the way volume concentrations in solutions are stated. This is employed when a solution contains liquid versions of both compounds.

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Dave is 4 years older than Colin. Ruth is three times as old as Dave. The total of their three ages is 56 Work out Ruth's age.​

Answers

Answer:

Ruth is 36 years old

Step-by-step explanation:

let Colin's age be x , then

Dave's age is x + 4

Ruth's age is 3(x + 4) = 3x + 12

sum their ages and equate to 56

x + x + 4 + 3x + 12 = 56

5x + 16 = 56 ( subtract 16 from both sides )

5x = 40 ( divide both sides by 5 )

x = 8

Then

Ruth's age = 3x + 12 = 3(8) + 12 = 24 + 12 = 36

The age of Ruth is 36 years while Dave is 12 years old and Colin is 8 years old.

What is an equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Using variables to represent the ages of Colin and Dave:

C = Colin's age

D = Dave's age

From the given statement,

D = C + 4 (Dave is 4 years older than Colin)

We know that Ruth's age is three times Dave's age:

R = 3D (Ruth is three times as old as Dave)

Now, the sum of their ages is 56:

C + D + R = 56

Substituting the expressions for D and R in terms of C, we get:

C + (C + 4) + 3(C + 4) = 56

Simplifying and solving for C:

5C + 16 = 56

5C = 40

C = 8

So Colin is 8 years old. Using the expression for Dave's age in terms of C, we get:

D = C + 4 = 8 + 4 = 12

So, Dave is 12 years old.

Ruth's age in terms of D:

R = 3D = 3(12) = 36

Therefore, Ruth is 36 years old.

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Which situation could be represented by the equation

18x=19+12x

Answers

A situation which could be represented by the equation 18x = 19 + 12x include the following: J. Krystal can make $18 per hour by tutoring. Jondo can make $12 per hour by tutoring. Jondo already has $19. How many hours, x, would Krystal and Jondo need to tutor for them to have the same amount of money?

What is an algebraic expression?

In Mathematics, an algebraic expression simply refers to a mathematical equation that can be used for showing the relationship which exist between two (2) or more variables, numerical quantities, as well as in conjunction with different mathematical operations.

Assuming the variable x represents the number of hours spent tutoring, an algebraic expression which relates the number of hours which these two tutors must spent during tutorial to earn the same amount of money is given by:

18x = 19 + 12x

18x - 12x = 19

6x = 19

x = 19/6 hours.

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Complete Question:

Which situation can be represented by this equation?

18x = 19 + 12x

F Krystal reads 12 pages per hour. Jondo reads 18 pages per hour.

How many hours, x, would it take for Krystal and Jondo to read

the same number of pages?

G Krystal paid a deposit of $19 plus $18 per hour to rent a dining

room at a restaurant. Jondo paid $12 per hour to rent a dining

room at a restaurant. How many hours, x, would it take for

Krystal and Jondo to pay the same amount of money?

H Krystal installs 12 tiles per hour. Jondo installs 19 tiles per hour

and started with 18 tiles already installed. How many hours, x,

would it take for Krystal and Jondo to install the same number

of tiles?

J. Krystal can make $18 per hour by tutoring. Jondo can make $12 per hour by tutoring. Jondo already has $19. How many hours, x, would Krystal and Jondo need to tutor for them to have the same amount of money?

The center of a circle is at (-2,-7) and its radius is 6. What is the equation of the circle?


Answers

(X+2)^2 +(Y+7)^2 =36

Since the centre of the circle is (-2;-7), we equate the variable to its coordinate:

X=-2

Y=-7

now we bring the coordinate over to the left side which changes its sign.

X+2=0

Y+7=0

That explains the :

(X+2)^2 +(Y+7)^2

Now for the R.

its given that the radius is 6 and since the standard form for the equation of a circle requires r^2.

we simply square 6.

6^2=36.

Answer: (x+2)^2+(y+7)^2=36

Step-by-step explanation:

To write an equation for a circle when you know

the radius is R

the center is at (A, B), remember that the standard form of the equation of the circle is:

Just plug those values into this equation:

(x-A)^2+(y-B)^2=R^2

You will end up with this equation

(x+2)^2+(y+7)^2=36

Other Questions
g When water and perchloric acid (HClO4) are mixed, heat is released. The resulting solution is not an ideal solution, in terms of Raoults Law. How should the boiling point and the vapor pressure of a solution of HClO4 in H2O differ from what is expected for an ideal solution? A) boiling point higher than expected, vapor pressure lower than expected B) boiling point higher than expected, vapor pressure higher than expected C) boiling point lower than expected, vapor pressure lower than expected D) boiling point lower than expected, vapor pressure higher than expected E) boiling point and vapor pressure are both the same as expected for an ideal solution this is just for fun ong sooo yeaaa **delete spaces**https://meet. go ogle. com/vqk-wfjs-dsa Helpppp meeee please (07.02)How many solutions can be found for the equation 4x+5=10?A. ZeroB.OneC. TwoD.Infinitely Many Select the best answer for the question.18. Which one of the following words or phrases may be a clue that a sentence is inferring cause and effect?O A. ConsequentlyO B. Instead ofO C. On the other handD. BeforeMark for review (Will be highlighted on the review page)OIA IMPORTANCIA DEL ARTICULO DE OPINION Nomi will go to the:bakerybutcherytoy storelibrary A control group is a group that: The Treaty of Versailles limited Germany's army, forced payments to Allies for damages, and took land from Germany.A. All is false except Germany had to pay money back to AlliesB. TrueC. All is true but Germany kept all landD. False Solve 3(x - 2) < 18.What is x? Evaluate the following expression when x = 5. -4x^2 + 3x + 12 A strong thesis statement features all of the following characteristics except for which one? create a sentence using Must 16d + 20c + 5d -7 - 8c - 7d + 3 Evaluate the expression if: d= -3 and c= 4 The brain is most active during which portion of each sleep cycle? A. the beginning of each sleep cycle B. the middle of each sleep cycle C. the end of each sleep cycle D. The brain is not active during the sleep cycle. Please select the best answer from the choices provided A B C D If the area of the rectangle is 35 units squared, where could point B be placed? Evaluate:- [(1/3)6 (1/3)5] 1/3 How has IT led globalization which of the following best identifies the central idea of this article ?defiant muhammad ali was cherished by black men what is the equation?