Lisa, Bree, and Caleb are meeting at an amusement park. They each enter at a different gate. On this diagram of the park, explain how the friends could calcuate the point that is equistant from all three gates

Answers

Answer 1

By joining the entry point of all three friends to form a triangle and then finding the centroid of this triangle , they can calculate the required point.

If Lisa, Bree, and Caleb are meeting at an amusement park and  each enter at a different gate as shown in reference picture attached hereby, the friends could calculate the point that is equidistant from all three gates by the equation [(Distance between gate 1 and gate 2) = (Distance between gate 2 and gate 3) = (Distance between gate 1 and gate 3)]

As per question statement, Lisa, Bree, and Caleb are meeting at an amusement park and  each enter at a different gate as shown in reference picture attached hereby.

We are required to determine to calculate the point that is equidistant from all three gates.

The required equation goes as  [(Distance between gate 1 and gate 2) = (Distance between gate 2 and gate 3) = (Distance between gate 1 and gate 3)],

Where, they will have to use the distance formula to find the distances in between which goes as [tex]D=\sqrt{(x_{1}-x_{2})^{2}+(y_{1}-y_{2})^{2} }[/tex], in the above mentioned equation.

Equation: In mathematics, an equation is a formula or a mathematical statement, that expresses the equality of two expressions, by connecting them with the "Equal To" sign.

Complete question: Lisa, Bree, and Caleb are meeting at an amusement park. They each enter at a different gate. On this diagram of the park, explain how the friends could calculate the point that is equidistant from all three gates.

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Lisa, Bree, And Caleb Are Meeting At An Amusement Park. They Each Enter At A Different Gate. On This

Related Questions

Question 8, 11.1.21 A stock can go up, go down, or stay unchanged. How many possibilities are there if you own 9 stocks?​

Answers

Answer:  19683

Explanation:

Consider 2 stocks that either go up, down, or stay unchanged. We'd have a 3 by 3 table to show the 3*3 = 3^2 = 9 different outcomes.

This idea can be extended to 3 stocks to have 3*3*3 = 3^3 = 27 outcomes

4 stocks would have 3^4 = 81 outcomes and so on

Therefore, 9 stocks have 3^9 = 19683 outcomes

455 miles traveled in 7 hours find the unit rate

Answers

Answer:

Step-by-step explanation:

This is a fraction equal to

455 miles ÷ 7 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 7

455 miles ÷ 7

7 hours ÷ 7

=

65 miles

1 hour

=

65 miles

hour

= 65 miles per hour

Which of the following is NOT a voluntary response sample?
***
Choose the correct answer below.
A. A local dentist asks her patients to fill out a questionnaire and mail it back to determine the quality of the care received during an office
visit.
B. Quiz scores from a college level statistics course are analyzed to determine student progress.
C. A radio station asks for call-in responses to a question concerning city recycling.
OD. A survey is taken at a mall by asking passersby if they will fill out the survey.

Answers

Of the given options, the one that is NOT a voluntary response sample is B. Quiz scores from a college level statistics course are analyzed to determine student progress.

What is a voluntary response sample?

A voluntary response sample refers to a sampling method where those who are to be in the sample are asked to be in the sample. They will have a choice on accepting the offer to be in the sample.

When quiz scores from a college level statistics course are used as the sample, this is not a voluntary response sample as the students who had the scores were not consulted.

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The following represent statistics of weekly salaries at Acme Corporation.
Mean = $585 Median = $581 Mode = $575
First Quartile = $552
Third Quartile = $605
a) What is the most common salary? $575
Standard deviation = $28.
86th Percentile = $612
b) What salary did half the employee's salaries surpass? $581
c) About what percent of employee's salaries is below $612?
d) What percent of the employee's salaries are above $552?
e) What salary is 2 standard deviations below the mean?
f) About what percent of employee's salaries is above $592?
g) What salary is 1.5 standard deviations above the mean?
(Round answer two decimal places, if necessary.)
P64 = $592

Answers

a) This refers to the mode = $575

b) This refers to the median = $581

c) This refers to the 86th Percentile = $612

d) This refers to the First Quartile = $552

e) The salary is that is 2 standard deviations below the mean = $529

f) About 36 percent of employee's salaries is above $592

g) $627 is 1.5 standard deviations above the mean

Given data

Mean = $585

Median = $581

Mode = $575

First Quartile = $552

Third Quartile = $605

Standard deviation = $28.

86th Percentile = $612

P64 = $592

How to find the required values

a) What is the most common salary? $575

This refers to the mode = $575

b) What salary did half the employee's salaries surpass? $581

This refers to the median = $581

c) About what percent of employee's salaries is below $612?

This refers to the 86th Percentile = $612

d) What percent of the employee's salaries are above $552?

This refers to the First Quartile = $552

e) What salary is 2 standard deviations below the mean?

The mean is given as $585 and the standard deviation is $28

2 standard deviation below the mean is:

= 585 - 2 * 28

= 585 - 56

= $529

f) About what percent of employee's salaries is above $592?

P64 is given as $592 this refers to the percent of employee's salaries that falls under 64%. so the percent above is above 64 is given as:

= 100 - 64

= 36%

g) What salary is 1.5 standard deviations above the mean?

The mean is given as $585 and the standard deviation is $28

1.5 standard deviation below the mean is:

= 585 + 1.5 * 28

= 585 + 42

= $627

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Carlos is moving his 14 books. He has packed and equal number of books into each of 3 empty boxes. How many books are in each box? How many books are left over

Answers

Answer:

The total ways the textbooks can be arranged in the 3 boxes is , which is equivalent to . If all of the math textbooks are put into the box that can hold  textbooks, there are  ways for the other textbooks to be arranged. If all of the math textbooks are put into the box that can hold  textbooks, there are  ways to choose the other book in that box, times  ways for the other books to be arranged. If all of the math textbooks are put into the box with the capability of holding  textbooks, there are  ways to choose the other 2 textbooks in that box, times  ways to arrange the other 7 textbooks. , , and , so the total number of ways the math textbooks can all be placed into the same box is . So, the probability of this occurring is . If the numerator and denominator are both divided by , we have . Simplifying the numerator yields , and dividing both numerator and denominator by  results in . This fraction cannot be simplified any further, so  and . Therefore, .

Answer:

Step-by-step explanation:

Solve negative four and one third ÷ two and one fifth.

negative nine and eight fifteenths
negative eight and one fifteenth
negative one and 32 over 33
one and 32 over 33

Answers

Answer:

Step-by-step explanation:

answer b

Answer: Its C not B

Step-by-step explanation:

Parallel, Perpendicular, or neither? y=3x+3 y=3x-4

Answers

These two lines are parallel because parallel lines have equal gradients
It would be perpendicular if one of the line’s gradients was -1/3
Answer: parallel

Hope this helps :))

Write the sentence as an equation. 84 is equal to the quotient of 165 and y​

Answers

Answer:

84=165/y

Step-by-step explanation:

84= 165/y that’s the equation

Consider the line y=
1
2x+2.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?

Answers

If the equation of a line is [y = (12x + 2)], then the slope of a line parallel to this line will be (Tan θ = 12) and, slope of a line perpendicular to this line will be [Tan θ = [tex](\frac{-1\1}{12})[/tex]].

As per question statement, the equation of a line is [y = (12x + 2)].

We are required to find out the slope of a line parallel to this line and the slope of a line perpendicular to this line.

To solve this question, firstly, we need to know about the standard equation of a line which goes as [tex][y = (mx +c)][/tex] where, "m" is the slope of the line and "c" is the y-intercept.

Comparing our given equation [tex][y = (12x +2)][/tex] with the above mentioned standard equation of [tex][y = (mx +c)][/tex], we get (m = 12) and (c = 2).

Hence, slope of our concerned line is 12. And since slopes of all parallel lines are equal, therefore, the slope of any line parallel to the line [tex][y = (12x +2)][/tex] will be 12 or (Tan θ = 12).

Also, we know that, the product of the slopes of two perpendicular lines, (say m₁ and m₂) is equal to (-1), i.e., [m₁*m₂ = (-1)].

Therefore, the line perpendicular to [tex][y = (12x +2)][/tex] will have a slope of [tex](\frac{-1}{m})[/tex], i.e., ([tex]\frac{-1}{12}[/tex]).

Equation: An equation is a mathematical statement that consists of two separate expressions, connected by an equal signSlope: Slope of a line is defined as the inclination of the line along the positive (x- axis) and is calculated by the formula [tex][m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}} ][/tex] where (x₁, y₁) and (x₂, y₂) are two points on the line.

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1-131. Lindsay has a paper bag full of Fruiti Tutti Chews in three different fruit flavors. She says, “If you reach into the bag, you have a chance of pulling out a Killer Kiwi. There is a chance that you will get Crazy Coconut.”

Answers

The probability of choosing a Kiwi or a coconut  is 14/15.

There has to be another flavor in the bag. The probability of picking the third flavor is 1/15.

There can be 15 candies in the bag. There can be more than one possibility.

What is the probability?

Probability calculates the odds that a random event would occur. The odds that the random event happens lie between 0 and 1. The more likely the event is to occur, the closer the probability value is to 1. If the probability value is 0.5, it is equally likely and unlikely that the event would happen or not happen. The sum of all probabilities should add up to 1.

The probability of choosing a Kiwi or a coconut = chances of picking a kiwi + chances of picking a coconut

1/3 + 3/5

(5 + 9) / 15 = 14/15

There has to be another flavor in the bag because the sum of the probabilities of picking a coconut or a kiwi does not add up to 1.

The probability of getting another flavor = 1 - sum of the probabilities of picking a kiwi or a coconut

1 - 14/15

15/15  - 14/15 = 1/15

The total number of candies in the bag would be a multiple of 15. The multiple of a number is the product of the number and another number. The possible number of candies are 15, 30, 45, 60, 75, 90

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Simplify 9-{X -(7+X)}
A. 16
B. -2x +2
C.-2x +16
D. 2x +2

Answers

The answer is A, 16.

2,094.1 nearest tenth

Answers

Answer:

The possible answer i giot when solving was: 2094.1

when rounded to the nearest tenth.

Please show work, and brainliest will be yours.

Answers

I think the answer is: Every Sunday, you jog.
The error that my classmate made was that they should have switched the order around.

Please help 2 questions with details and work out please

Answers

From properties of parallel lines the value of the indicated angle is 84° and the value of x is 4°.

Parallel lines are two lines that are equidistant from one another.

Parallel lines in geometry are coplanar, straight lines that don't cross at any point. In the same three-dimensional space, parallel planes are any planes that never cross.A line that intersects both the parallel lines is called a transversal.A set of angles on the inner side of each of the two lines but on the opposing sides of the transversal are known as alternate interior angles.Alternate external angles are those outside the two lines that the transversal is intersecting.

For the question 7 the two lines are parallel and the indicated angle is an alternate interior angle to the given angle. Hence the indicated angle is also 84°.

For question 8, the two angles are alternate exterior angles.

Hence they are equal. Therefore we can write a linear equation in x to solve for x.

21x+6=90

or, 21x=84

or, x=4°

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Use f (x) = |x|

f (x) is shifted left 5 and shifted up 2 to create g(x). Write the equation g(x)

Answers

Assuming that f(x)=x, we need to shift f(x) to the left by 5 and up by 2 in order to get g. (x). The equation g(x) may be written in mathematical terms as

G(x)=(x+5)+2

This is further explained below.

What is a function?

Generally, In the field of mathematics, an assignment of one element from set Y to each and every element in set X is the definition of a function. This particular set, X, is referred to as the function's domain, and this particular set, Y, is referred to as the function's codomain.

In conclusion, Assuming f(x)=x, f (x) is shifted left 5 and shifted up 2 to create g(x).  the equation g(x) is mathematically given as

G(x)=(x+5)+2

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It is known that 4 WHOEVER ANSWERS CORRECTLY WILL BE MARKED BRAINLIEST

Answers

Answer:

jsjsjsjs

Step-by-step explanation:

sjsjsjsjdjdjdjdjdjjdjdfjjfdjjdjdjdjdjdjdjdjd

You buy a carton of milk and two sandwiches for $10.One sandwich costs twice as much as a carton of milk.Your friend buys two cartons of milk and three sandwiches. How much does your friend spend?

Answers

The total amount spent by your friend is $8

How to determine the amount spent by your friend?

The given parameters are:

1 carton of milk and 2 sandwiches= $10The cost of 1 sandwich = Twice carton of milk

Represent sandwich with x and carton of milk with y

So, we have

x = 2y

This also means that

y + 2x = 10

Substitute x = 2y in y + 2x = 10

y + 2(2y) = 10

This gives

5y = 10

Divide by 2

y = 2

Recall that:

x = 2y

So, we have

x =2 * 1

x = 2

Your friend's purchase can be represented as:

2y + 3x

This gives

Total = 2 * 1 + 3 * 2

Evaluate

Total = 8

Hence, the amount spent by your friend is $8

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Debbie has 340 dimes in three boxes. she says that there are 4 times as many dimes in the first box as in the second and 3 times as many in the third box as in the first how much money in dollars does she have in each box

Answers

The amount of money in the first box is 8 dollars

The amount of money in the second box is 2 dollars

The amount of money in the third box is 24 dollars

Solving equations

From the question, we are to determine how much money there are in each box

From the given information,

"Debbie has 340 dimes in three boxes"

Let x represents the number of dimes in the first box

y represent the number of dimes in the second box

and z represent the number of dimes in the third box

Thus,

x + y + z = 340

Also, from the given information

"she says that there are 4 times as many dimes in the first box as in the second"

x = 4y

and

"3 times as many in the third box as in the first"

z = 3x

Substitute the second and third equations into the first equation

x + y + z = 340

4y + y + 3x = 340

4y + y + 3(4y) = 340

4y + y + 12y = 340

17y = 340

y = 340/17

y = 20

Substitute the value of y into the second equation

x = 4y

x = 4(20)

x = 80

Substitute the value of x into the third equation

z = 3x

z = 3(80)

z = 240

Thus,

There are 80 dimes in the first box

80 dimes = 8 dollars

There are 20 dimes in the second box

20 dimes = 2 dollars

There are 240 dimes in the third box

240 dimes = 24 dollars

Hence,

The amount of money in the first box is 8 dollars

The amount of money in the second box is 2 dollars

The amount of money in the third box is 24 dollars

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Which of the following represents the area of a rectangle whose length is 5x − 3 and whose width is x + 7?

Answers

I believe the answer is 5x2 + 32x -21

In which of these pairs of numbers is 2 greater than the first and less than the second? 2.1, 2.3 2, 2 2.7, 3 2 , 2

Answers

Answer: most likely 2,2 I believe

Step-by-step explanation:

What are the outputs of the function below?
X
g(x)
O-1, 0, -3, 4
O-1, 0, 7, 10
O6, 2, -3, 4
6, 2, 7, 10
-1
6
0
2
7
3
10
4

Answers

Answer:

it a i think

Step-by-step explanation:

The outputs of the function are 6, 2, 3, 4, and the inputs of the function are -1, 0, 7, and 10.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

here,

We have:

x        g(x)

–1        6

0          2

7          -3

10         4

The table shows the input and output of the function g(x)

g(-1) = 6

g(0) = 2

g(7) = -3

g(10) = 4

The set of equivalent y-values for the function shown in the table is as follows: 6, 2, 3, 4.

Thus, the outputs of the function are 6, 2, 3, 4, and the inputs of the function are -1, 0, 7, and 10.

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Can anybody help me with this

Answers

Answer:

IV

Step-by-step explanation:

All of the other ones are pointing towards the square. As you can see, the arrow is not pointing towards the square in IV, therefore that is your answer.

PART B ONLY
Given: Evaluate the integral
∫x^12ln(x) dx
Solved: 1/13ln(x)x^13 - 1/169x^13 + C
(b) The application of integration by parts corresponds to applying the product rule to what product: [ ??? ]

Answers

Using integration by parts, the application of integration by parts corresponds to applying the product rule to the product of functions u(x) = ln(x) and v(x) = (x^13)/13.

What is the integration by parts?

Integration by parts is similar to the inverse of the product rule, and is given as follows:

[tex]\int u dv = uv - \int v du[/tex]

Hence it is the product of functions u and dv. To identify function u, the precedence is given is as follows:

L: Logarithmic.I: Inverse.A: Arithmetic.T: Trigonometric.E: Exponential.

In this problem, we have a logarithmic and an arithmetic function, hence:

Function u is the logarithmic function ln(x).Function g is ∫x^12 dx, hence x^13/13.

The application of integration by parts corresponds to applying the product rule to the product of functions u(x) = ln(x) and v(x) = (x^13)/13.

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Why should I probably get my first credit card from the same institution that has my checking and/or savings account?Because building a relationship with a financial institution makes good OA sense You should not. You should get your first card at one of those really cool OB. student websites. A better idea is to pick your credit card company based on which gift I like Oc the best. OD Because local institutions offer better gifts

Answers

 I probably get my first credit card from the same institution that has my checking and/or savings account because that is the right thing to do.

What is a credit card?

The credit card is a type of card that could be used to pay for utilities. The credit card is a thin plastic card that is issued by a person's financial institution and is recognized for financial transaction.

However, the credit car should be used with caution so that a person do not accumulate a lot of debt on the credit card that could lead to the bankruptcy of the individual that is using the cards in question.

Now,  I probably get my first credit card from the same institution that has my checking and/or savings account because that is the right thing to do.

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The complement of an angle is 90 degrees less than the supplement of the angle. What is the angle?

Answers

The angle which is as described in the task content is; .

Complementary and Supplementary angles

If we assume the angle in discuss is; x.

It's complement is therefore; (90-x).

Therefore, since the complement of the angle is 90° less than the supplement; we have;

90 - x = 180 - 90

90 - x = 90

x = 0°

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Find The Value Of X.

Answers

Answer:

X=25.5

Step-by-step explanation:

First we need to apply supplementary angles.

We see that angle EGH is 78 degrees. Since Angle BEC falls on the same line as EGH we can easily calculate the Angle for BEC

Supplementary angles add up to 180. 78+x=180

180-78 is 102

4x=102

divide both sides by 4

x=25.5

24. m/PQT if m/PQR = 25° and m/RQT = 11°.
m

Answers

13 degrees mPQT = 1 degree in internal angle .

An illustration of an internal angle?

Angles inside a polygon are referred to as interior angles. A triangle, for instance, has three interior angles. Interior angles are sometimes defined as "angles enclosed in the interior region of two parallel lines when they are intersected by a transversal."

mPQR=25 degrees , mRQT=11 degrees.

mPQT=PQR-RQT

MPQT=25-11=13 degrees

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Which number produces an irrational number when added to 1/3

Answers

Answer: 2pi thats all the answer is

Step-by-step explanation:

i dont have one just enjoy the answer, brainliest please

A parking lot has 65 spaces total. If 30 of the spaces have cars in them, what is the ratio of empty spaces to filled spaces?

Answers

Answer: 35:30, because 65-30 equals 35 and if you do the empty spaces which there are 35 to the filled spaces which there are 30 it will become your answer of 35:30.

Hope this helps!

The solution is 7 : 6

The ratio of proportion of the empty spaces to the filled spaces is 7 : 6

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

Given data ,

Let the total number of parking spaces be = P

The value of P = 65 spaces

Now , the number of spaces that are filled with cars = 30 spaces

So , the remaining number of spaces = the empty spaces

The remaining number of spaces = total number of parking spaces - number of spaces that are filled with cars

Substituting the values in the equation , we get

The remaining number of spaces = 65 - 30

The remaining number of spaces = 35 spaces are empty

Now , the ratio of empty spaces to filled spaces is given by

Ratio of empty spaces to filled spaces = 35 : 30

On simplifying , we get

Ratio of empty spaces to filled spaces = 7 : 6

Therefore , the proportion is 7 : 6

Hence , The ratio of the empty spaces to the filled spaces is 7 : 6

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in an arcade game, nick can earn up to 10 tickets depending on which slot his coin goes through. if he plays the tournament six times what is the most significant number of tickets nick earn

Answers

Answer:

This answer is most likely 60

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