How many images will form when two mirrors are placed at 120 degree and 30 degree object is placed symmetrically with respect to both the mirrors?.

Answers

Answer 1

The number of images formed by using the angle 120° is 3 or 30° is 11.

Angle in math is defined as the image formed when two rays are joined together at a common point and the common point here is called node or vertex and the two rays are called arms of the angle.

Here we have given that 120 degree and 30 degree object is placed symmetrically with respect to both the mirrors.

As we all know that the formula number of images formed between two mirrors kept at some angles is written as,

=> n = (360 / θ) - 1

Here we have  n is the number of images and θ is the angle between the mirrors.

The value of θ is 120 or 30.

If the angle is 120, then the number of image is calculated as,

=> n = (360 / 120) - 1

=> n = 3 - 1 = 2

Where as the angle is 30, then the number of image is calculated as,

=> n = (360 / 30) - 1

=> n = 12 - 1 = 11

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Related Questions

The ratio of boys to girls in the 9th grade is 7 to 9. There are 218 girls. Set up a proportion to model this information.

Answers

Answer:

7/9=b/218

Step-by-step explanation:

What is an example of a linear inequality?.

Answers

An example of a linear inequality:  5m > 7 + 3p

We know that the linear inequality in two variables represents the inequalities between two algebraic expressions with two variables .

It is an unequal relation between two algebraic expressions.

The symbols used between the expression: less than ‘<’,

greater than ‘>’,

less than or equal to ‘≤’

greater than equal to ‘≥’,

consider an example of a linear inequality:

3x < 2y + 5

5m > 7 + 3p

We can say that a linear inequality is like a linear equation (ax + by = c) but it has an inequality (like <, >, ≤, or ≥) instead of an =

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JK is a tangent to the circle KLM at K and JML is a straight line. The value of x is
A. 30° B. 45° C. 60° D. 75°​

Answers

The value of angle x is 45°. Thus, option B is correct.

How to find the value of x?

A corner is an angle if it forms a projecting part or a partially enclosed space. An angle is a figure made up of two lines that extend from the same point. a measurement of an angle or the amount of turning required to align or make parallel two lines or planes.

step1:

o is center

JK is a tangent

so <OKJ =90°

<OKM=90°-30°=60°

OM=OK=><OMK=60°

step2:

because LO=LO, LM=LK, ON=OK

So Triangle OLM ≅ Triangle OLK => <LOM=<LOK

so <LOM=150° => <LMO =15°

so  60° +15° =30°+x°=>x= 45

so the answer is B. 45°

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The cost of 2 footballs and 3 tennis balls is £21.73. The cost of 5 footballs and 7 tennis balls is £53.20. Work out the cost of a) a football. b) a tennis ball.​

Answers

Answer:

cost of football = 7.49

cost of tennis = 2.25

Step-by-step explanation:

How do you find the range of a negative function?.

Answers

The range of a negative function are those which lies in the intervals where the function is below the x-axis.

The range function can be positive or negative because the range formula substracts the lowest number from the highest number. A negative function has all negative values. The negative function has values that are all negative. The domain of the function can be positive. Every output must be less than zero. A negative function has values that are negative for all arguments of its domain. The function values can be positive or negative. They can increase or decrease as the input increases.

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How to multiply 2 digit numbers by 2 digit numbers without regrouping?.

Answers

Multiply the number in the one's place. Multiply the number in the ten's place. And then add them up.

Multiply 2-Digit Numbers Without Regrouping:

Follow along with example 43 × 32:

Place one number above the other so that the ones' place digits and tens' place digits are lined up. Draw a line beneath the bottom number.

 4 3

×3 2

_______

Multiply the ones' place digits (2 × 3 = 6) and one's place of the second number by the ten's place of the first number (2 × 4 = 8). Place the 6 below the line in the ones' place column and 8 below the line in the tens' place column.

4 3

×3 2

_________

8 6

Multiply the digit in the tens' place column (3) by the digit in the ones' place of the first number (3). The result is 3 × 3 = 9 and Multiply the digit in the tens' place column (3) by the digit in the tens' place of the first number (4). The outcome is 3 × 4 = 12. Now add the numbers and place the answer below the line.

4 3

×3 2

__________

  8 6

12 9×

__________

13 76

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!!! 50 points !!!
Rug to place in the middle of his bedroom. He draws a diagram to show where he will place is rug. Part A: Sam needs to find the perimeter of his bedroom. Use the picture to write three expressions that represent the perimeter, in feet, of Sam’s room.
Part B: now, Sam wants to find the area of his bedroom. He says that he can find the area using the expression 40x + 12 square feet. Is he correct? If he is incorrect, how many square feet is he off by?
Part C: Sam’s friend Carla has a square a bedroom with side length 4x + 6. Compare the perimeter of Carla’s room to the perimeter of Sam’s room.
**I need all answers and explanations, as I am required to show my work!**

Answers

A:Expression 3: 4(4x + 6) = 16x + 24 feet, B: No, he is incorrect

C: The perimeter of Carla’s room is 16x + 24, which is the same as Sam’s room.

What is an expression?

An expression is a combination of numbers, symbols, and variables that represents a certain value otherwise set of values.

For example, 2x + 5 is an expression that represents any value that can be obtained by substituting any number for the variable x.

In this question

Part A:

The perimeter of Sam's bedroom can be expressed using the following equations:

1. P = 2(x+2) + 2(y+2)

2. P = 2x + 4 + 2y + 4

3. P = 2x + 2y + 8

Part B:

No, Sam is incorrect. The correct expression for the area of his bedroom is A = (x+2)(y+2). He is off by 8 square feet.

Part C:

The perimeter of Carla's room is 4x + 12, which is 4 more than the perimeter of Sam's room.

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What is the slope of a line whose equation is 3x 2y 8?.

Answers

The slope of the given equation is -3/2.

The equation of a line in the form 3x + 2y = 8 is not in the standard form of a linear equation, also known as slope-intercept form. In order to find the slope of the line, we need to express the equation in the form y = mx + b, where m is the slope of the line and b is the y-intercept.

To do this, we can start by isolating y on one side of the equation. We can subtract 8 from both sides, resulting in 3x + 2y -8 = 0.

Next, we can divide both sides by 2, which gives us (3/2)x + y - 4 = 0. This is the equation in the slope-intercept form.

The slope of the line is represented by the coefficient of x, which in this case is (-3/2). It tells us that for every 1 unit increase in x, the value of y will decrease by 3/2 units.

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help pls i need to pass

Answers

The sample space would be ((H, W), (H, M), (T, W), (T, M), (C, W), (C, M)}.

Option (C) is correct.

What is the sample space?

The sample space is the set of all possible outcomes of a random experiment.

In this case, the experiment is ordering a sandwich from the shop, and the possible outcomes are the different combinations of sandwich type and bread type. Choice C represents all the possible outcomes of the experiment and it is the correct answer.

C) ((H, W), (H, M), (T, W), (T, M), (C, W), (C, M)}

Hence, the sample space would be ((H, W), (H, M), (T, W), (T, M), (C, W), (C, M)}.

Option (C) is correct.

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Point MM is located at (-4,4)(−4,4) on the coordinate plane. Point MM is reflected over the yy-axis to create point M'M

. Point M'M

is then reflected over the xx-axis to create point M''M
′′
. What ordered pair describes the location of M''?M
′′
?

Answers

The ordered pair which describes the location of M''M" is (4, -4).

What is a reflection?

In Geometry, a reflection over the y-axis is given by this transformation rule (x, y) → (-x, y). This ultimately implies that, a reflection over the y-axis would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.

By applying a reflection over the y-axis to the coordinates of the image coordinates include the following:

(x, y)                               →              (-x, y)

Coordinate M = (-4, 4)   →  Coordinate M' = (-(-4), 4) = (4, 4).

Next, we would apply a reflection over the x-axis to the above coordinates as follows:

(x, y)                               →              (x, -y)

Coordinate M' = (4, 4)   →  Coordinate M" = (4, -(4)) = (4, -4).

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Can a negative number be an exponential function?.

Answers

Yes, it is possible for a negative number to be an exponential function.

The number of times a number is multiplied by itself is indicated by the positive exponent, as we are aware. In contrast, the negative exponent indicates how many times the base number must be divided. The negative exponent, in other words, indicates how many times the reciprocal of the base must be multiplied. 3-2 is a prime example of a negative exponent.Two negative exponents can be multiplied together in the same way as two numbers. Since we are aware that negative exponents can be reduced to fractions, simplifying negative exponents is simple. Converting the negative exponents to their fractional form is the first step in multiplying negative exponents, after which the procedure is the same as multiplying two fractional numbers.

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How do you identify the horizontal asymptote of a graph?.

Answers

The horizontal asymptote of the graph is the horizontal line y = b and the graph approaches a straight line as the input approaches ∞ or −∞.

Horizontal Asymptote: As x moves towards infinity or -infinity, the curve approaches a constant value b, called a horizontal asymptote with equal numerator and denominator. The following are used to determine the horizontal asymptotes:

If the degree of numerator and denominator polynomials are equal, then the horizontal asymptotes is obtained by dividing the highest degree cofficientes.If the numerator degree is less than the denominator degree, the horizontal asymptote is y = 0.If the numerator degree is greater than the denominator degree, there is no horizontal asymptote.

For example, function f(x) = 2x / (x - 3) and we have to determine the horizontal asymptotes. As we see the degree of polynomials both in numerator and denominator is equal. So, horizontal asymptotes is equal to number which is obtained by dividing the hightest degree coefficients i.e., 2/1 = 2. Thus, the function has only one horizontal asymptote which is y = 2. Here is the graphical verification.

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Solve the multi-step equation. Type in your solution (ie, x=3, 4=7, 5=5).

6x+7= 2(3x+5)+9

Answers

The equation 6x + 7 = 2(3x + 5) + 9 has no solution.

How to solve an equation?

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.

Let's solve the equation for variable x.

A variable is a number represented with letter in an equation. Therefore,

6x + 7 = 2(3x + 5) + 9

6x + 7  = 6x + 10 + 9

6x + 7 = 6x + 19

6x - 6x = 19 - 7

0x = 12

Therefore, the equation cannot be solved.

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What is the degree of the polynomial function f x 2x3 7x5 − 4x − 12?.

Answers

The highest power of this function is 5 , so the degree of this polynomial is 5 .

The degree of polynomial is  highest power of variable in a polynomial expression. The polynomial’s degree is the greatest power of a variable in a polynomial equation. The degree of polynomial indicates the highest exponential power in polynomial (the coefficients are ignored).

the polynomial function is ⇒  f(x) = 2x³ + 7x⁵ + 4x + 12 ;

we see that the second term  "7x⁵" has the greatest power  ,

So , we can conclude that the degree of the polynomial function is 5 .

The given question is incomplete , the complete question is

What is the degree of the polynomial function f(x) = 2x³ + 7x⁵ + 4x + 12 ?

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Why earthquakes with the greatest magnitude do not always cause the highest number of deaths?.

Answers

The earthquakes with the greatest magnitude do not always cause the highest number of death because other factors like area ( ground, water , sand etc.), soil structure, buliding constutor material etc. also affect the earthquake intensity.

The biggest earthquakes are not necessarily the most devastating ones. But other factors are also involved here. In areas of water-saturated sand, shaking loosens the sand particles from each other, causing them to "float" on the water and turn into quicksand. Sand at rest is still and hard, but when shaken it forms liquid mud. Buildings and other structures built on such sand simply sink and collapse. Other types of soil structures and terrain can amplify and resonate seismic waves, potentially causing more damage. Of course, if an earthquake occurs at sea, it can create a devastating tsunami. Also, certain structures and buildings are less susceptible to vibration than others due to how they are constructed and the materials used. For example, a large magnitude 9.0 earthquake might cause minor damage due to its remote location. But if 6.0 occurs in an underdeveloped and densely populated area, it could kill thousands.

The more people there are, the more people die. For example, the 2001 earthquake in India occurred in a densely populated area.

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Help need fast - What is the area of the shape?

Answers

Answer:

Area = 28

Area of cutout = 1/2 * 2 * 4 = 4

Area of entire rectangle without cutout = 32

(Also 4 * 4 + 2 * 4 + 1 * 4 = 28)

PLEASE HURRY

What is the highest fraction that is reduced to 1/2
I WILL MARK U BRAINLIST

Answers

Answer:

The fractions which are equivalent to 1/2 are 2/4, 3/6, 4/8, 6/12 etc.

But there are more fractions that are equivalent to 1/2 such as 7/14, 8/16, 9/18, 10/20, 11/22, 12/24, 13/26, 14/28, 15/30, 16/32, 17/34, 18/36, 19/38, 20/40, 21/42, 22/44, 23/46, 24/48, 25/50, 26/52, 27/54, 28/56, 29/58, 30/60 and so on.

I might not get it but I tried :)

One meter equals 3.281 feet, so 4 meters=
Do not round your asnwer.
feet

Answers

Answer:

13.124 ft

Step-by-step explanation:

1 m = 3.281 ft

4 m = 4 × 3.281 ft = 13.124 ft

what is the value of 1/2 divided by 1/3

Answers

Answer:

1 1/2

Step-by-step explanation:

help with this question

Answers

Answer:

Answers in the attached photo.

Step-by-step explanation:

Solution

Steps are in the attached photo, do note this question is testing on the knowledge of Pythagoras' Theorem.

3. Jen answered 80% of the 150 test
questions correctly. How many
questions did she not answer
correctly?

Answers

She answered 30 questions incorrectly if I did it correctly

write an explicit formula for a subscript n, the nth term of the sequence 8, 11, 14,...



please please help

Answers

The required explicit formula for the given sequence to determine the nth term is given as nth term = 8 + (n - 1)3.

What is arithmetic progression?

Arithmetic progression is the series of numbers that have common differences between adjacent values.

here,
The Sequences 8, 11, 14,...

first term a = 8
common difference = 11 - 8 = 3

Now,
The explicit formula is given as,
nth terms = a + (n - 1)d
nth term = 8 + (n - 1)3

Thus, the required explicit formula for the given sequence to determine the nth term is given as nth term = 8 + (n - 1)3.

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the cost in the dollar of operating machine per day is given the formula by C = 3T2 -96t + 1,014 , where is T is the time of the machine operating in hours
What is the maintenance cost of running the machine?

Answers

Answer:

T is the cost

Step-by-step explanation:

by looking at the question you can see the answer.

Answer this functions question

Answers

Answer:

ff(x)=9x-48

Step-by-step explanation:

f(x)=3x-12

ff(x)=f(3x-12)

=3(3x-12)-12

= 9x-36-12

= 9x-48

AXYZ has side lengths of XY = 2, YZ = 2,
XZ = 1.5. After it has been dilated with a scale factor of
2, what are the side lengths of AX'Y'Z*?

Answers

a = 14, b = 3.5

what are the side lengths of AX'Y'Z*?

XZ = XY , then

2a + 3b = 11b ( subtract 3b from both sides )

2a = 8b ( divide both sides by 2 )

a = 4b

The perimeter is 91 , so

11b +2a + 3b + a = 91

14b + 3a = 91 ← substitute a = 4b

14b + 3(4b) = 91

14b + 12b = 91

26b = 91 ( divide both sides by 26 )

b = 3.5

and a = 4b = 4 × 3.5 = 14

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After it has been dilated with a scale factor of 2  the side lengths of AX'Y'Z is: a = 14, b = 3.5

what are the side lengths of AX'Y'Z*?

XZ = XY , then

2a + 3b = 11b ( subtract 3b from both sides )

2a = 8b ( divide both sides by 2 )

a = 4b

The perimeter is 91 , so

11b +2a + 3b + a = 91

14b + 3a = 91 ← substitute a = 4b

14b + 3(4b) = 91

14b + 12b = 91

26b = 91 ( divide both sides by 26 )

b = 3.5

and a = 4b = 4 × 3.5 = 14

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An antique store increases all of its prices by 40$ and then announces a 25 off-everything sale. What percent of the original prices (before the increase) is the new prices?

Answers

Answer: 62.5%.

hope this helped

Two torage hed are to have the ame area. One i quare and one i rectangular. The rectangular hed i 3 meter wide and 12 meter long

Answers

By using the area of the square formula, it can be concluded that the side of the square shed is 6 meters.

The area of a square or a rectangle can be defined as the number of square units needed to fill it.  

Area of a Square = side × side = side²

Area of a rectangle = width x length

Area of the square = area of the rectangle

Rectangle width = 3 meter

Rectangle length = 12 meter

To find the side of the square shed, we can do the following:

Area of the square = Area of the rectangle

                      side² = width x length

                               = 3 x 12

                               = 36

                       side = √36

                               = 6

Thus the side of the square shed is 6 meters.

Two storage sheds are to have the same area. One is square and one is rectangular. The rectangular shed is 3 meters wide and 12 meters long. How large is one side of the square shed in meters?

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Let us assume that you started a job on 08/21/2019. You graduated on 05/20/2022. How many days have you been working at the job as a student?
Group of answer choices
1215
1287
905
1003

Answers

I have been working 1004 days at the job as a student

What are algebraic operations?

They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

To solve this problem we must perform the following algebraic operations with the given information

Information about the problem:

Start = 08/21/2019Graduated = 05/20/2022Days = ?

Calculating the days from 08/21/2019 to 08/21/2022, we get:

Days 1 = (08/21/2022 - 08/21/2019) * (365 days/1 year)

Days 1 = 3 years * (365 days/1 year)

Days 1 = 1095 days

Calculating the days from 05/21/2019 to 08/21/2019, we get:

Days 2 = (08/21/2019 - 05/21/2019) * (30 days / 1 month)

Days 2 = 3 month * (30 days / 1 month)

Days 2 = 90 days

Calculating the days from 05/20/2019 to 05/21/2019, we get:

Days 3 = 05/21/2019 - 05/20/2019

Days 3 = 1 day

Calculating the total days from 08/21/2019 to 05/20/2022, we get:

Total days = Days 1 - days 2 - days 3

Total days = 1095 days - 90 days - 1 day

Total days = 1004 days

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What is the sum of 11 of the interior angles of a regular dodecagon?

Answers

Regular dodecagons have internal angles that are the same size and have equal length sides and the interior angles of the dodecagon total 1800 degrees.

What is a dodecagon?

A regular dodecagon is a shape with equal-length sides and equal-sized internal angles.

It features rotational symmetry of order 12 and twelve reflected symmetry lines.

The Schläfli symbol for a regular dodecagon is 12, and it can be formed from a truncated hexagon (t6) or twice-truncated triangle (tt3).

In a regular dodecagon, the internal angle at each vertex is 150°.

The dodecagon's internal angles add up to 1800 degrees.

A 12-sided polygon is called a dodecagon.

The illustrations above show several unique varieties of dodecagons.

A regular polygon known as a regular dodecagon is a dodecagon with vertices evenly placed around a circle and all sides having the same length.

Therefore, the interior angles of the dodecagon total 1800 degrees.

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Example 1: Fill in the missing values in the table of solutions for the linear equation, y=-x+4, plot the points, and then draw the line through the points ​

Answers

Answer:

so plot a 4 and the go up one over right one that way you have the linear equation graphed

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