A a triangular object is placed in front of a plane mirror. Use the law of reflection and principles of ray diagramming to construct the image that the subject will formed behind the mirror. After during the image, describe it in terms of 1) distance from the mirror 2) it's size compared to the image 3) orientation (inverted from right to left or inverted from left to right) and 4) type real or virtual

Answer:

Step-by-step explanation:

Firstly, lets just add the fractions we got.

2/5 + 1/3 = 6/15 + 5/15 = 11/15

So, 11/15 of the total students bought stuff other than drinks.

Number of people who bought drinks will be the people left

So, 1 - 11/15, or 4/15

a) 4/15

b) Fraction of people who bought beef burger is 2/5.

2/5 x 3/4 = 3/10

So the fraction is 3/10.

Answer:

Step-by-step explanation:

The value of y is pi over 6. To solve for y, we use the fact that the sine of a sum is equal to the sum of the sines of each individual angle multiplied by the cosine of the other angle. This can be expressed mathematically as sin(x+y) = sin(x)cos(y) + cos(x)sin(y).

Substituting the given values into the equation, we have:

sin(x+y) = (√2/2)sin(x) + (√2/2)cos(x)

Rearranging, we can solve for y:

y = arcsin((√2/2)sin(x) + (√2/2)cos(x)) - x

Since x is equal to pi over 2, we can calculate y as follows:

y = arcsin((√2/2)sin(pi/2) + (√2/2)cos(pi/2)) - (pi/2)

= arcsin((√2/2)(1) + (√2/2)(0)) - (pi/2)

= arcsin(√2/2) - (pi/2)

= pi/6

Therefore, the value of y is pi over 6.

The rational function should be set to p and x should be solved if there is a horizontal asymptote,

The rational function should be set to p and x should be solved if there is a horizontal asymptote, such as y=p. In the event that x is a real number, the line crosses the horizontal asymptote at (x,p).

Although your function ultimately reaches for the H.A., it doesn't mean it never touches the line. Set the equation equal to that value and solve to determine which values of x, if any, allow the function to touch the H.A. to determine if it does.

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There are no values of x where the horizontal asymptote crosses the graph of the function.

The rational function should be set to p and x should be solved if there is a horizontal asymptote, such as y=p. In the event that x is a real number, the line crosses the horizontal asymptote at (x,p).

A horizontal asymptote occurs when the function approaches a constant value as the input goes towards positive or negative infinity.

For the graph of the function f(x) = x² - 1/x³, there are no horizontal asymptotes.

A horizontal asymptote would occur if the highest power of x in the numerator of f(x) was equal to the highest power of x in the denominator, but the denominator of f(x) doesn't have any powers of x, so there is no horizontal asymptote.

Therefore, there are no values of x where the horizontal asymptote crosses the graph of the function.

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Answer:

We know that the ratio of female students to the total number of students is 4 to 9.

That means that for every 4 female students, there are 9 students in total.

So, we can set up the proportion:

4/9 = x/264

where x is the total number of students.

Solving for x, we get:

x = (4/9)*264 = 96

Since the ratio of teachers to students is 1 to 11, then for every 11 students there is 1 teacher, we can set up the proportion:

1/11 = y/96

where y is the total number of teachers.

Solving for y, we get:

y = (1/11)*96 = 8.72 ≈ 8

So, there are 8 teachers in the college.

Step-by-step explanation:

By using simultaneous linear equation, it can be calculated that 200 adult tickets and 400 student tickets were sold and the ticket sale falls $1320 below the goal of $3300.

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A one degree equation is known as linear equation. Two or more linear equations, which can be solved together to obtain common solution are known as simultaneous linear equation.

The simultaneous linear equation needs to be solved

Let d represents the number of adult tickets and s represents the number of student tickets

Their auditorium holds 600 people

d + s = 600 ..... (1)

Price of adult ticket = $7.50

Price of student ticket = $4.50

Total price = $(7.50d + 4.50s)

Therefore,

7.50d + 4.50s = 3300

5d + 3s = 2200 ..... (2)

Multiplying (1) by 3

3d + 3s = 1800.... (3)

Subtracting (3) from (2)

2d = 400

d = 200

Putting the value of d in (1)

200 + s = 600

s = 600 - 200

s = 400

Now, Total tickets sold = d + 2d = 3d

d = 120

s = 240

Number of student ticket sold = 240

Number of adult ticket sold = 120

Total cost = 240  4.50 + 120  7.50

= $1980

Fall in ticket sale = $(3300 - 1980) = $1320

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Answer:

The Milky Way is about 1,000,000,000,000,000,000 km

Step-by-step explanation:

about 100,000 light years or about 30 kpc) across.

For example:

The quadratic equation for the given roots is x²-2x-1=0. Therefore, option 4 is the correct answer.

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

The roots of the quadratic equation are 1±√2.

Here, x=1+√2 and x=1-√2

x-1-√2=0 and x-1+√2=0

Now, (x-1-√2)(x-1+√2)=0

= x(x-1+√2)-1(x-1+√2)-√2(x-1+√2)=0

= x²-x+√2x-x+1-√2-√2x+√2-2=0

= x²-2x-1=0

Therefore, option 4 is the correct answer.

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An equation in general form that describes the locations within the receiving distance of the tower is (x - 25)² + (y - 32)² = (45)².

And  Squirrel Hills is within the receiving distance of the signal.

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle.

And the general formula of the circle,

(x – h)²+ (y - k)² = r²,

where (h, k) is the center and r is the radius of the circle.

Given:

A radio station has a tower that is 25 miles east and 32 miles north of downtown Squirrel Hills.

The tower emits a signal that reaches receivers that are within 45 miles of its location.

From the attached image,

(25, 32) is the location of the tower.

And (0, 0) is the location of Hill.

So, equation,

(x - 25)² + (y - 32)² = (45)²

To determine if Squirrel Hills is within the receiving distance of the signal:

That means,

when (x, y) = (0, 0),

(0 - 25)² + (0 - 32)² = (45)²

1649 < 2025

That means, the Squirrel Hills is within the receiving distance of the signal.

Therefore, the Squirrel Hills is within the receiving distance of the signal.

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Address the root of both issues radius  is  3 √ 6 v π ^2 / 2 π.

r is radius and v is volume.

Write the equation as follows:

4/3 ⋅ ( π r 3 ) = v . 4 /3 ⋅ ( π r 3 ) = v

Divide the two sides of the equation by 1 4 3.

1 / 4 . 3 π ( 4 / 3 ⋅ ( π r 3 ) ) = 1 /4 . 3π v

Simplify the issue from both perspectives.

For more steps, tap.

r 3 = 3 v 4 \sπ

To get rid of the exponent on the left side, take the required root from both sides of the equation.

To get rid of the exponent on the left side, take the required root from both sides of the equation. = 3 √ 3 v /4 π

3 3 v 4 should be made simpler.

For more steps, tap.

r = 3 √ 6 v π ^2 / 2π.

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Answer:

y + 13 = - [tex]\frac{2}{3}[/tex] (x + 11)

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = - [tex]\frac{2}{3}[/tex] and (a, b ) = ( - 11, - 13 ) , then

y - (- 13) = - [tex]\frac{2}{3}[/tex] (x - (- 11) ) , that is

y + 13 = - [tex]\frac{2}{3}[/tex] (x + 11)

The measures, using the Law of Sines, are given as follows:

The law of sines states that the ratio between the sine of each angle and the side length opposite to this angle has to be equal for all the angles in the problem.

The sum of the measures of the internal angles of a triangle is of 180º, hence the measure of angle B is given as follows:

m < B + 25 + 36 = 180

m < B = 180 - (25 + 36)

m < B = 119º.

Then the length BC is obtained as follows:

sin(25º)/BC = sin(36º)/28

BC = 28 x sin(25º)/sin(36º)

BC = 20.13.

The length AC is obtained as follows:

sin(119º)/AC = sin(36º)/28

AC = 28 x sin(119º)/sin(36º)

AC = 41.62.

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We can simplify the expression to get:

2³ + 3*(2) + 14/2 = 21

The correct option is E.

Here we want to simplify the expression below:

2³ + 3*(2) + 14/2

The additions are the last thing we need to do, we can replace:

2³ = 8

3*(2) = 6

14/2 = 7

Replacing that in the expression we will get:

2³ + 3*(2) + 14/2 = 8 + 6 + 7

8 + 6 + 7 = 21

So the correct option is E.

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10 Km²  is the area of the triangular section that the forest managers plant with trees.

A sector is the area between any two circle radii and any arcs that connect them. Segment: A line segment in geometry is a section of a line that has two clearly defined end points and includes every point on the line in between them.

Firstly count how many cells are there

First line = 6

Second line = 1

Last line = 3

So the area of the section that the forest managers plant with tree is

6 + 1 + 3 = 10 Km²

( count more than half a grid or not count )

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The point (-1, 6) is on the lines y = 5x + 3 and y = 2x + 4​

From the question, we have the following parameters that can be used in our computation:

Point = (-1, 6)

Also, we have

y = 5x + 3

y = 2x + 4​

Substitute the known values in the above equation, so, we have the following representation

6 = 5(-1) + 3 = -2 -- false

6 = 2(-1) + 4 = 2 --- false

Hence, the point is not one the line

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a) Measure the bearing of B from A = 030

b) Measure the bearing of A from B = 210

The term bearing is used in the navigation. The bearing is the horizontal angle which is made between the direction of an object to the another object.

This angle is measure in the clockwise direction from the north direction.

To measure bearing of two cities:

Draw a straight line between point A and B upward. Now draw 2 lines vertically up going through both points as shown in attached image. Now measure the angle between the vertical line and the diagonal line. It's 030.

Hence, measure the bearing of B from A is 030.

To measure the bearing of A from B add 180 to the 030.

we get 210.

Hence, measure the bearing of A from B is 210.

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The statements are Triangle 1 is the image of triangle 2 reflected over the Y axis, Triangle 2 is the image of triangle 3 reflected over the X axis and  Reflecting triangle 4 over the y-axis results in triangle 3.

Reflection is a type of geometric transformation where the figure is flipped. In other words, a figure when undergoes reflection becomes it's mirror image.

We have four triangles in the figure given.

So reflection of a figure results in the mirror image of the figure.

Line of reflection is the line through which a figure is reflected.

Line of reflection of the triangles 1 and 2 is the Y axis.

So Triangle 1 is the image of triangle 2 reflected over the Y axis.

Line of reflection of triangles 2 and 3 is X axis.

So Triangle 2 is the image of triangle 3 reflected over the X axis.

Also line of reflection is y axis for triangles 4 and 3.

So Reflecting triangle 4 over the y-axis results in triangle 3.

Hence using the concept of line of reflections, Triangle 1 is the image of triangle 2 reflected over the Y axis, Triangle 2 is the image of triangle 3 reflected over the X axis and  Reflecting triangle 4 over the y-axis results in triangle 3.

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Answer:

To find the value of x, we can substitute the value of y in the equation:

-2X + (-3) = 9

We can then solve for X by isolating it on one side of the equation:

-2X = 12

X = -6

So, the value of X is -6.

Step-by-step explanation:

The value of x = 4 makes the quadrilateral a parallelogram.

A special form of quadrilateral called a parallelogram has both pairs of its opposite sides parallel and equal.

Given:

The shape is a quadrilateral.

The opposite sides are parallel.

To show that the given quadrilateral is a parallelogram :

The opposite sides of the parallelogram are equal.

So,

2x + 3 = x + 7

2x - x = 7 - 3

x = 4

Therefore, the value of x is 4.

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The complete question is given in the attached image.

Answer:

Assuming the question is how many l of paint he needs the answer would be 5L

Step-by-step explanation:

1L- 4 chairs

?L- 20 chairs

Therefore 5L- 20 chairs

Answer:85

Step-by-step explanation:

Answer:

yes parallel is when two lines directly line up together like this ----

----

Step-by-step explanation:

The floor of a round hut has a diameter of 4 yards. What is the floor's area?

Answer:

12.56637 or 4 pi hope this helps

Victor spent $1 on a pencil. Additionally, he spent $3 on some notebooks. Buying pencils and notebooks cost Victor no more than $13. 4 <= 13 equals the inequality.

[tex]$$1+3 \leq 13:\left[\begin{array}{cc}\text { Solution: } & \text { True } \\\text { Interval Notation: } & (-\infty, \infty)\end{array}\right]$$[/tex]

Steps

[tex]$$1+3 \leq 13$$[/tex]

Simplify 1+3: 4

[tex]$4 \leq 13$[/tex]

The attribute of being unequal or uneven, such as social disparity, disparity of distribution or opportunity, or lack of evenness A key idea in social justice theories is inequality, which is the state of not being equal, particularly in terms of status, rights, and opportunities1. Due to the fact that it frequently has diverse meanings to different people, it can become confusing in public discourse. However, some differences are typical.

Related concepts include lifetime inequality (inequality in incomes over a person's lifetime), inequality of wealth (distribution of wealth across households or individuals at a particular point in time), and inequality of opportunity (impact on income of circumstances over which an individual has no control). According to experts, inequality hinders economic growth and promotes political dysfunction.

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Answer: The height of the balloon in meters x seconds after it begins to ascend can be represented by the equation y = mx + b, where m is the slope (the rate of change in height) and b is the y-intercept (the initial height of the balloon).

Given that the balloon is hovering 104 meters above the ground and begins to ascend at a rate of 11 meters per second, we can substitute these values into the equation:

y = 11x + 104

This equation is in slope-intercept form, the slope (m) is 11 and the y-intercept (b) is 104. This equation represents the height of the balloon in meters x seconds after it begins to ascend.

To find the height of the balloon after 19 seconds, we can substitute x = 19 into the equation:

y = 11(19) + 104 = 209 meters

So the hot air balloon is 209 meters high after 19 seconds.

Step-by-step explanation:

Answer:

The inequality that can be used to solve for how many x paintings can be displayed is 22x + 9 <= 315

Step-by-step explanation:

This inequality states that the total square footage of the paintings and the sign must be less than or equal to 315 square feet. Each painting takes up 22 square feet, and the sign takes up 9 square feet, so the total square footage is represented by the expression 22x + 9.

The inequality states that 22x + 9 <= 315 which means for any number of paintings she displays it should be less than or equal to 315 sq.ft.

The other options:

22x + 9 315: the inequality is less than instead of less than or equal to, which means that the total cost should be less than 315 sq.ft which is not always the case.

22x + 92 315: the coefficient of x is 22 instead of 22 and the 92 is placed in a wrong position.

9x+22 315: the coefficient of x is 9 instead of 22 and the 22 is placed in a wrong position.

22z + 9 315: the variable used is z instead of x

Answer:

Step-by-step explanation:

Answer: a. 7

Work Shown:

Given set = {6, 10, 7, 2, 9, 8, 7, 3, 5}

Sorted set = {2, 3, 5, 6, 7, 7, 8, 9, 10}

P = 15 = percentile value

n = 9 = sample size, i.e. number of values in the set

R = index rank

R = (P/100)*(n + 1)

R = (15/100)*(9+1)

R = 1.5

This rounds to R = 2 when rounding to the nearest integer.

This R value tells us to look at the 2nd slot of the sorted data set. The value "3" is in the 2nd slot.

This is why the answer is choice D

Answer:

¥4050

Step-by-step explanation:

The exchange rate given is ¥81 to 1 US dollar.

1 US = ¥81.

You are trying to solve for the amount of yen it will cost if the equivalent is $50.

Multiply $50 US, with ¥81 (as it is the exchange rate):

$50 * (¥81/$1) = ¥4050

¥4050 is your answer.

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