12 O 44 Madeline, Tyra, and Imogen are helping consolidate leftover pizza slices after a party. Each one of them has a box with leftovers. Madeline says the leftover slices in her box form a 203° angle . Tyra says the leftover slices in her box form a 59 After hearing those descriptions from Madeline and Tyra, Imogen wonders if the leftover slices would all fit into one box (meaning one full circle of 360° or less). It is possible if the angle measure of her leftover slices is no larger than [Drop Down 1]. If each slice has an angle of 40 the maximum amount of slices Imogen can fit is [Drop Down 2]. 1 mron Down 11​

Answers

Answer 1

Answer:

i. The angle measure of Imogen's leftover should not be larger than [tex]98^{o}[/tex]

ii. The maximum number of slices that Imogen can fit is 2.

Step-by-step explanation:

The leftover in Madeline's box forms angle = 203°

The leftover in Tyra's box forms angel = [tex]59^{o}[/tex]

Sum of angles formed = 203° + [tex]59^{o}[/tex]

                                      = [tex]262^{o}[/tex]

Given that one box =  1 full circle of 360°. Then,

the angle formed by the leftover in Imogen's box = 360° - [tex]262^{o}[/tex]

                                                       = [tex]98^{o}[/tex]

Thus, the angle measure of Imogen's leftover slices should not be larger than [tex]98^{o}[/tex].

If each slice has an angle of [tex]40^{o}[/tex], the maximum number of slice that Imogen can fit = [tex]\frac{98}{40}[/tex]

          = 2 [tex]\frac{9}{20}[/tex]

          = 2.45

The maximum number of slices that Imogen can fit is 2.


Related Questions

27) An amusement park ride, the Demon Drop, includes a drop of close to 100 feet. Use the given equation to
approximate the time (seconds) that it takes the dropped object to fall a distance of about feet. Solve for "t" to
the nearest tenth.

Answers

2.5

The square root of 100/16 is 2.5. It is already rounded to the nearest tenth. Use a calculator.

How do you write 9 more than a number?

Answers

9 more than a number in mathematical expression is written as n+9.

Any two integers can be compared using the greater than and less than symbols. Greater than and less than symbols are used to indicate whether one number is greater than or less than another. The greater than sign (>) is used when the first number exceeds the second number. The less than sign (<) is used when the first number is less than the second number.

The quantity on the left of the > sign is the greater quantity. It could be a variable or expression [like 10x-2 > 50].

Let the number be n,

More than signifies addition. Therefore, the expression would be n+9.

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What are the two function used to form the rational function?

Answers

The two functions used to form the rational function are the ratio of two rational polynomial expression p and q.

A function is called a rational function if it can be expressed in terms of the ratio of p and q.

f( x ) = p( x ) / q( x )

They generally are made up of more than one part.

Each function has a domain and a co - domain , they generally tells us about the limits of the function. We can use the rational function to calculate the domain.

Rational function asymptotes are of 3 types which are known as ,

Horizontal AsymptotesVertical AsymptotesOblique Asymptote

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Did zero is prime number?

Answers

A prime number is a positive integer greater than 1 that has no positive integer divisors other than 1 and itself. 0 is not a positive integer, so it is not considered a prime number.

What is a prime number?

A whole number higher than one that cannot be divided exactly by any other whole number than itself and one is a prime number.

What is whole number?

Complete numbers, the range of numbers that includes zero and natural numbers and not a decimal or fraction.

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What is an example of perpendicular equations?

Answers

An example of perpendicular equations are:

f(x)=2x+4

g(x)=[tex]\frac{-1}{2}\\[/tex]x+2

A straight line passing through a point is called a perpendicular line. It forms a 90-degree angle with a specific place where the line passes. The need for determining the perpendicular line is coordinates and a line equation.

Think about a line with the equation ax + by + c = 0 and the coordinates (x1, y1). The slope should be a/b. Let m1 and m2 represent the slopes of two lines; their product will be -1 if the lines are perpendicular to one another.

A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate.

Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by y and x, respectively.

m = Δy/Δx = dy/dx = change in y/change in x

where "m" represents a line's slope.

Additionally, the slope of the line may be shown as

tan θ = Δy/Δx

A line's slope often indicates the steepness and direction of the line.

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Think about a line with the equation ax + by + c = 0 and the coordinates (x1, y1). The slope should be a/b. Let m1 and m2 represent the slopes of two lines; their product will be -1 if the lines are perpendicular to one another.

A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate.

Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by y and x, respectively.

m = Δy/Δx = dy/dx = change in y/change in x

where "m" represents a line's slope.

Why does AAS congruence work?

Answers

Angle-Angle-Side is abbreviated as AAS. The triangles are said to be congruent when two angles and a non-included side of one triangle match the corresponding angles and sides of another triangle. AAS congruence may be demonstrated with a few simple methods.

When two triangles in geometry are the same size and shape, they are said to be congruent. The Angle-Angle-Side (AAS) congruence theorem is one of several approaches to demonstrate that two triangles are congruent.

According to the AAS congruence theorem, triangles are congruent if two angles and the side that connects them in one triangle are congruent with two angles and the side that connects them in another triangle. This is how this theorem is expressed:

If ∠A = ∠E, ∠B = ∠F, and AB = EF, then ∆ABC ≅ ∆DEF

In other terms, triangles ABC and DEF are congruent if two angles and the side between them in triangle ABC are equivalent to two angles and the side between them in triangle DEF.

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How many solutions does quadratic equation 2x² 7x 5 0 have?

Answers

Step-by-step explanation:

I cannot read what equation you wrote.

but it does not matter.

a quadratic equation has always 2 solutions.

as a cubic equation has always 3 solutions.

and so on.

sometimes they can be identical like for 0 = x² (with 0 as solution 2 times).

and sometimes they can be imaginary like in -1 = x².

but there always are 2 solutions for a quadratic equation.

for example with normal numbers :

1 = x²

the solutions are sqrt(1) = ±1 = +1 and -1.

What equation is perpendicular to Y =- 3x 4?

Answers

Equation y = -3x is perpendicular to Y =- 3x - 4.

Describe perpendicular.

A perpendicular is a straight line in mathematics that forms a right angle (90 degrees) with another line. In other words, two lines are perpendicular to one another if they connect at a right angle. In every case, perpendicular lines cross or intersect. Any two perpendicular lines will always have an angle of 90 degrees.

Given

y = -3x - 4

Using slope intercept form.

y = mx + b

The reciprocal of the slope of the perpendicular line is negative.

By doing this, you alter the slope's sign to the opposite, in this case to 3. The slope of the perpendicular line is then equal to 1/3 by finding the reciprocal by flipping the denominator and numerator.

Equation y = -3x is perpendicular to Y =- 3x - 4.

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How do you find the mean of 5?

Answers

The mean of given data is 5.

To find: Mean of the given data

Given data: 5

Mean: Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.

Mean=Sum of observations / Number of observations

Here sum of observation is 5

Arithmetic mean refers to the average amount in a given group of data. It is defined as the summation of all the observation is the data which is divided by the number of observations in the data

Total number of observation is 1

The number of observations provides information on the total number of values that are contained in the Dataset. This property is intended to provide an indication of the size of a Dataset

Now substitute the values in above formula

=[tex]\frac{5}{1}[/tex]=5

Therefore, the mean is 5.

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How do you know if a function is positive or negative?

Answers

A function is positive if the output values are greater than the input values and negative if the output values are less than the input values.

To determine if a function is positive or negative, you must first look at the output values of the function. If the output values are greater than the input values, then the function is positive. This means that the output values increase as the input values increase. Conversely, if the output values are less than the input values, then the function is negative. This means that the output values decrease as the input values increase. For example, if a function has an input value of 3 and an output value of 5, then the function is positive because the output is greater than the input. On the other hand, if the same function had an output value of 1, then the function would be negative because the output is less than the input. In summary, a function is positive if the output values are greater than the input values and negative if the output values are less than the input values.

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What does it mean to apply a function?

Answers

Function application is the process of applying a function to a domain-specific argument in order to get the relevant value from the function's range.

What does a function mean?

An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable (the dependent variable). Apply is a function in mathematics and computer science that applies arguments to a function.An example of a rule is a function, which produces one output for a single input.

Y=X2 is an illustration of this. You only get one output for y if you enter anything for x. The fact that x is the input value leads us to say that y is a function of x. I submitted written applications to a number of businesses. For this position, a high school graduation is required. Teenage dropouts are not required to apply. Apply a second coat of paint to the wall once the first one has dried and been thinly applied.

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Calculating length of the curve
Can somebody give me a detailed description how we did the last three steps?

Answers

I don't see the picture. Can you send it in the message.

Santa take 8 minutes to build 1 train and 6 minutes to built I car. How much minutes will it take him to build 100 train and 100 cars?​

Answers

Answer:

800 and 600

Step-by-step explanation:

1 train = 8 minutes

100 trains =8×100

= 800 minutes

1 car= 6 minutes

100 cars = 6×100

= 600 minutes

Answer:

1400 minutes / 23 hrs

Step-by-step explanation:

maths question on triangles

Answers

Answer:

The height (AE) is 20 cm

Step-by-step explanation:

Volume = 1/3(area of the base) height

600 = 1/3(18 x 5)h

600 = 30h  Divide both sides by 30

[tex]\frac{600}{30}[/tex] = [tex]\frac{30h}{30}[/tex]

20 = h

What is the best approximation of the solution to the system to the nearest integer values?

(7, 1)


(7, 0)


(1, 7)


(0, 6)

Answers

Answer:

7,0

Step-by-step explanation:

Look at this table:
13
15
19
-19
-9
Is this relation a function?
yes
no

Answers

Yes, the given Relation is a Function.

How do you figure out if a relation is a function?

Relation: It belongs to the Cartesian product's subgroup. Or just a lot of points (ordered pairs). In other words, the ordered pair collection, where the ordered pair is made up of an object from each set, is used to define the relationship between the two sets.

To Analyze a relationship between two values to see if it can be classified as a function:

1)Choose the input values.

2)Determine the results.

3)Consider the connection to be a function if each input value results in just one output value. Do not classify the relationship as a function if any input value results in two or more outputs.

In the given table all ordered pairs have unique x values so the given relation is a function.

Yes, the given Relation is a Function.

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If g(x) = - 4x^2 - 3x + 2, determine g(-2).
Show your work.

Answers

Answer:

g(-2) = -8

Step-by-step explanation:

If [tex]g(x) = - 4 x^2 - 3x +2[/tex], determine g(-2):

[tex]g(-2) = - 4 (-2)^2 - 3(-2) +2\\g(-2) = - 4 (4) - (-6)+2\\g(-2) = -16 + 6 + 2 \\[/tex]

g(-2) = -8

bramdpm owns nearly 2 times as many cds as ingrid.brandon owns 56 cds.write an equation and use it to estimate the number n of cds ingrid owns.

Answers

The number of CDs that Ingrid owns will be 28.

What is the equation's answer?

A direct consequence is the distribution of weights to the significant variables that result in the calculation's optimal.

Nearly twice as many CD promotions are in Brandon's possession than they are in Ingrid's. Brandon says he has 56 CDs.

Let 'x' represent Ingrid's CD collection. Then Brandon will have twice as many CDs.

The equation is then presented as,

Then the equation is given as,

2x = 56

Simplify the equation, then we have

2x = 56

x = 56 / 2

x = 28

The number of CDs that Ingrid owns will be 28.

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If the distance between the points A(2, -2) and B(-1, x) is equal to 5, then the value of x is: (a)2 (b)-2 (c)1 (d)-1

Answers

Answer:

(a) 2

Step-by-step explanation:

We can assume this is a 3-4-5 triangle from the two given sides, 5 and 3(2--1) so then we know the y difference of the y coordinate should be + or - 4 from -2 giving us two solutions of 2 and -6 since this is a multiple choice and a is 2 he answer is 2

Could you please find X and show me how

Answers

Answer:

[tex]x=13\cos 25^{\circ}[/tex]

Step-by-step explanation:

[tex]\cos 25^{\circ}=\frac{x}{13} \\ \\ x=13 \cos 25^{\circ}[/tex]

By what number must you multiply each side of the equation 45x=8 to produce the equivalent equation x = 10?.

Answers

Answer:

5

Step-by-step explanation:

For this case, we have the following equation:

4/5x = 8

We must find a number that when multiplied on both sides of the equation, as a result:

x = 10x

So, if we multiply 8 * 5 = 40

Now, the left side must also be multiplied by 5 to not alter the equation:

(4/5)x*5=4x

x∗5=4x

Finally we have 4x=40

Clearing "x":

\begin{gathered}x = 40/4

x=10

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Saha ue 3 teapoon of hot chocolate mix for every 8 ounce of milk. How many teapoon of hot chocolate mix doe he need for 48 ounce of milk?

Answers

Saha uses 3 teaspoons of hot chocolate mix for every 8 ounces of milk. for 48 ounces of milk, he needs 18 teaspoons of hot chocolate.

The problem can be solved using unitary method or using ratio.

- Unitary method

Using this method, first, compute how many teaspoons of chocolate needed for 1 ounce of milk.

8 ounces of milk need 3 teaspoons of hot chocolate. Hence,

1 ounce of milk need 3/8 teaspoons of hot chocolate

48 ounce of milk need 3/8 x 48 = 18 teaspoons of hot chocolate

- Using ratio

Let p = number of teaspoons of hot chocolate needed for 48 ounces of milk. Then,

3 : 8 = p : 48

8p = 3 x 48

p = 3 x 48/8 = 3 x 6 = 18 teaspoons

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What is the set of all x values?

Answers

The range is the set of all "y" values in an ordered pair, while the domain is really the set of all "x" values.

What is defined as the term called domain?

Keep in mind which ordered pairs are represented by the following symbols: (x, y).

List all the x values first from relation to determine the domain when examining a set of ordered pairs. List each of the y values first from ordered pairs to determine the range. Repeated values that fall inside the domain or range need only be listed once. Each x value in a relation must have a unique value for the y value for it to be a function.

A collection of ordered pairs isn't a function if an x value has had more than one y value associated with it, as as in the relation (4, 1), (4, 2), where the x value of 4 has y values of 1 and 2.

Thus,  If there is only one y-value for every x-value, then the relation is called a function.

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Snooty had to solve the following
equation for x:
x² = 64
Someone told Snooty there are actually
2 solutions! This confused Snooty. Can
you explain to Snooty why there are 2
solutions for x in this equation?
Type a response
0.

Answers

Answer:

8, -8

Step-by-step explanation:

There are 2 answers for the solution because x² = 64 can equal 8, and -8. It can equal 8 because 8 x 8 = 64. It can also equal -8 because -8 x -8 is a positive 64.

Is it true a 0 or 1?

Answers

Therefore, In the binary number 0 comes out to be false and 1 comes out to be true.

Describe a binary number.

Binary code, the foundation of everything binary utilised in computing systems, provides a numbering system in which there are only two potential values for each digit: 0 or 1.

Here,

In this case, binary logic has two states: false and true. "binary" – It's critical that there be two of them.

If you want to, you can refer to them as 0 and 1, yes and no, or off and on if you're an electrical engineer. They function as intended.

Therefore, In the binary number 0 comes out to be false and 1 comes out to be true.

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Is cleaning the measuring instrument not necessary?

Answers

It is necessary to clean the measuring instrument the moving parts of the measuring device may be harmed if airborne dust or dirt gets inside of it. Additionally, if any foreign objects are present between the measurement target and the measuring device, precise measurements may be affected.

what is measuring instrument?

A measuring instrument is a tool used to quantify anything tangible. The act of obtaining and comparing physical amounts of actual objects and occurrences is known as measuring in the physical sciences, quality control, and engineering. Vernier calipers, micrometers, dial gauges, gauges of various types, bubble levels, protractors, and rulers are some of the primary goods that fall under the category of measurement instruments. These equipment are employed in the production process and for quality assurance.

It is necessary to clean the measuring instrument the moving parts of the measuring device may be harmed if airborne dust or dirt gets inside of it.

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What ratio does the point 1 a divided the join of (- 1/4 and 4 1 )? Also find the value of a?

Answers

Using the provided values for the points and the slope, With the formula of slope we can calculate the value of a = 14/5 =2.8 and the ratio as

1:1.49 .

What do you mean by slope?

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction. Divide the difference in elevation between two points by the distance between them to find the percent slope, then multiply the result by 100. The term "rise" refers to the difference in elevation between two sites. The run is the separation between the points. Percent slope is therefore equal to (rise / run) x 100.

What do you mean by ratio?

A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. Similarly, the ratio of oranges to the total amount of fruit is 8:14, while the ratio of lemons to oranges is 6:8.

point (1,a) divided line joined by  (-1,4) and (4,1).

Since, The slope between these points are same as they all line in a single line, we can ,

[tex]\frac{a-4}{1+1} = \frac{1-a}{4-1}[/tex]

3a-12=2-2a

5a=14

a=14/5 =2.8.

distance between (-1,4) and (1,2.8),

[tex]d1 = \sqrt{(1--1)^2 +(2.8-4)^2}\\=\sqrt{5.44}\\=2.33[/tex]

distance between (1,2.8) and (4,1),

[tex]d2= \sqrt{(4-1)^2 + (1-2.8)^2}\\=\sqrt{12.24}\\=3.49\\\\[/tex]

ratio = d1/d2

= 1: 1.49

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What is the equation of the line of symmetry for the parabola represented by the equation y = −2x^2 − 16x − 27?

Enter your answer as the correct equation, like this: x = 42

Answers

Answer: x=-4

Step-by-step explanation:

You can find this algebraically by either solving for the y-value of the vertex or by adding the two zeros and dividing by two.

In this case: (-5.581, 0) and (-2.419)

-5.581 + -2.419

= -8

-8/2 = -4

Write an equation for the line in slope-intercept form​

Answers

Answer: y=2/5x +5

Step-by-step explanation: slope is 2/5 y intercept is 5

How many solutions does the pair of equations y 0 and y =- 5 have class 10?

Answers

If there were two equation, one on top of the other, there would be infinitely many solutions. but here no solution

If there were two lines that intersected at one point, there would be one solution.

y=0 and y=-5 don't have any solutions. When you ask if a pair of equations have a solution, that means there is an intersection of the equations. The 2 equations will meet somewhere, and that is the solution. To find the solution, you set the equations equal to each other.

0≠-5

It is obvious that 0 and -5 are not equal to each other. Therefore, there is no solution. Also, y=0 and y=-5 are horizontal lines that are parallel to each other. They will never meet, which means there will be no intersection. No intersection means no solutions

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