Tran is using a coordinate plane to design a treasure hunt for his students. The hunt begins at the flagpole at the origin. The first clue is hidden 5 units north of the flagpole. The second clue is located 6 units east of the flagpole. The final clue is located 5 units south of the flagpole. Plot the locations of the flagpole and the 3 clues on the coordinate plane and show the path students will follow from the flagpole to all three clues. . Each unit represents 50 feet. What is the shortest combined distance along the path from the flagpole to Clue 1 to Clue 2 and to Clue 3?

Answers

Answer 1

Answer:

The shortest combined distance along the path from the flagpole to Clue 1 to Clue 2 and to Clue 3 is approximately 1,031.025 feet

Step-by-step explanation:

The given coordinates of the clues for the treasure hunt are

The location of the first clue = 5 units north of the flag pole

The coordinates is (0, 5)

The location of the second clue = 6 units east of the flag pole

The coordinates is (6, 0)

The location of the final clue = 5 units south of the flag pole

The coordinates is (0, -5)

The flagpole is at the origin

The coordinates of the flagpole is (0, 0)

Each unit on the graph = 50 feet

From the drawing of the treasure hunt created with Microsoft Excel, the shortest distances between the clues are as follows;

The shortest distance between 2 points is a straight line

Therefore

The shortest length from the flagpole to Clue 1 = 5 - 0 = 5 units

The actual distance from the flagpole to Clue 1 = 5 units × 50 feet/unit = 250 feet

The length from Clue 1 to Clue 2= √(6² + 5²) = √(61) units

The actual distance from Clue 1 to Clue 2 = √(61) units × 50 feet/unit = 50·√61 feet

By similarity, the actual distance from Clue 2 to Clue 3 = 50·√61

The combined shortest distance along the path from the flagpole to Clue 1 to Clue 2 and to Clue 3 = (250 + 50·√61 + 50·√61) feet ≈ 1,031.025 feet

Tran Is Using A Coordinate Plane To Design A Treasure Hunt For His Students. The Hunt Begins At The Flagpole

Related Questions

If x is the price of an item and it is marked 20 % off during the sale, what is the sale price?

Answers

Answer:

The sale price is 80% of x or x*0.8.

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

PLEASE HELP GEOMETRY PLEASE! SHOW WORK!!

Answers

Answer:

area = 24 cm²

Step-by-step explanation:

area = 1/2 x 6 x 8 = 24 cm²

The circle graph shows how Tremaine divided his time on the computer last week Tremaine's Computer Time Games 25% Homework 20% Research 5% Other 10% Social media 40% Tremaine used the computer a total of 30 hours last week. How many more hours did Tremaine use the computer to play video games than to do research? 6 hours 20 hours 75 hours • 15 hours


Explain the answer choice you choose. I will mark you brainlist!​

Answers

Step-by-step explanation:

25%×24 =6 jahdyheuxlfoodnxhydushgdys

6 more hours did Tremaine use the computer to play video games than to do research.

What is Percentage?

The percentage formula is used to calculate the amount or percentage of anything in terms of 100. Percentage indicates "per hundred" in its most basic form. The percentage formula is used to express a number between zero and one. It is a number that is expressed as a fraction of 100. It is represented by the sign% and is mostly used to compare and find ratios.

Given:

The percent for Video Game= 25%

and, percent for Research = 5%

So, 25% of  30 = 25 / 100 x 30 = 7.5

5% of 30 = 5/100 x 30 = 1.5

So, the the number of hour spend on more on Video game

= 7.5 - 1.5

= 6 hour

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Target is having a 30% off sale on all bikes. What is the sale price of a bike that regularly costs $285?

Answers

Answer:

199.50

Step-by-step explanation:

285×(1-0.30)=199.50

What is the length of BC? Round to the nearest tenth

Answers

Answer:

9.9

use the special triangle formula or use cosine to find BC

Denise bought 12 slices of cheese at he deli. The total weight of cheese she bought was 1/4 pound What is the weight of each slice of cheese?

Answers

1/3 ounce - 1/4 pound is 4 ounces and then you just divide by 12, resulting in .3333333333 or in other words, 1/3

What solid figure has two bases, but no lateral faces?

A.cone
B.cylinder
C.rectangular prism
D.triangular prism

Answers

Answer:

B - Cylinder

Step-by-step explanation:

It has 2 bases (one on top and one at the bottom)

And It has no lateral faces

Answer: cylinder

Step-by-step explanation:

hope this helps

The diameter of the circle shown below is
11.5 inches.
11.5 inches
What is the radius of the circle?
A. 5.75
B. 11.5
C. 23
D. 34.5

Answers

Answer:

A. 5.75

Step-by-step explanation:

11.5/2 = 5.75

What is 2(12)3/2 in its simplest form

Answers

Answer:

Hi! The answer to your question is 36

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Hey there!

2(12)3/2

= 2(12)(3/2)

= 24(3/2)

= 24/1 * 3/2

= 24(3) / 1(2)

= 24 + 24 + 24 / 1 + 1

= 48 + 24 / 2

= 72 / 2

= 72 ÷ 2 / 2 ÷ 2

= 36 / 1


= 36 ÷ 1


= 36

Therefore, your answer is: 36

Good luck on your assignment & enjoy your day!



~Amphitrite1040:)

10% of ___ =5 ples help

Answers

Answer:

50

Step-by-step explanation:

2.

Find the slope of the line.



A. [tex]-\frac{4}{3}[/tex]

B. [tex]\frac{3}{4}[/tex]

C. [tex]-\frac{3}{4}[/tex]

D. [tex]\frac{4}{3}[/tex]

Answers

Answer:

C. -3/4

Step-by-step explanation:

Answer:

-3/4

Step-by-step explanation:

You could identify two points and used the slope formula given two points.

OR

You can just count from one point to another.

First step: Identify two points where the line crosses nicely.

I see one at the y-intercept (0,1) and another at (4,-2). So starting at the y-intercept, how much do we need to travel down to get to (4,-2).  Hopefully you say down 3, so the rise is -3.  Now how much to the right after traveling down 3 from (0,1) to we need to travel to get to (4,-2) .  Count the spaces...4 units right so the run is 4.

The slope is -3/4

Which of the following could be the number shown on the number line?

Answers

Answer:

I believe your answer would be C. square root of 67

Step-by-step explanation:

If 8 is the square root of 64 and the missing number is just over 8, square root of 72 would be too much and A. and D. would be too little. I do deeply apologize if this is incorrect.

alguien que me ayude en esta ​

Answers

Answer:

[tex]a) 9x +18y \geq 0 \\9x \geq -18y \\x\geq -2y \\\sqrt {9(x+2y)}\\ 3\sqrt {x+2y} \\[/tex]

[tex]b) 3 \sqrt[3]{3*5^3a^9a} b^9 \\15a^3b^9 \sqrt[3]{3a}[/tex]

[tex]c)a\geq 0 \\1/2 \sqrt{2^2*3^2*3a^4a}b^9 \\1/2*2*3a^2\sqrt{3a}b^9 \\3a^2b^9 \sqrt{3a}[/tex]

[tex]d)mp\geq 0 \\3/5 \sqrt{5^2*5mn^6p^6p} \\3|n^3|p^3 \sqrt{5mp}[/tex]

[tex]e) n>0 \\6m 1/\sqrt{2^2*2n^4n} \\3|m|/n^2 1/\sqrt{2n}[/tex]

[tex]f) b\neq 0 \\a\neq 0 \\15/2 \sqrt[3]{x^2/2^3*2a^2b^3b} \\15/(4b) \sqrt[3]{x^2/2a^2b}[/tex]

5 times the quantity y - 2

Answers

Answer:

5y - 10

Step-by-step explanation:

We require to find

5(y - 2) ← multiply each term in the parenthesis by 5

= 5y - 10

Question 2 of 10
The graphs below have the same shape. What is the equation of the blue
graph?
g(x) = ?
f(x) = x2
w
g(x) =

Answers

Answer: it’s c

Step-by-step explanation:

Just took it and it’s correct

The equation of graph of the transformed function is g ( x ) = ( x + 4 )² - 3

How does the transformation of a function happen?

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units: y=f(x+c) (same output, but c units earlier)

Right shift by c units: y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)

Horizontal stretch by a factor k: y = f(x/k)

Given data ,

Let the first function be represented as f ( x )

Now , the value of f ( x ) = x²

Let the second function be g ( x )

Now , the vertex of the function is at A ( -4 , -3  )

When the function is shifted left by 4 units and down by 3 units , we get

g ( x ) = ( x + 4 )² - 3

Hence , the transformed function is g ( x ) = ( x + 4 )² - 3 and the graph is plotted

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NEED HELP ASAP
Determine the roots of the equation by factoring. Write your answer in set notation.

Answers

Answer:

x=1÷4/x= -1÷4

Step-by-step explanation:

Factorise the equation and determine the value of x

What is the value of the expression {(23+7^2)}{2^{2}}

Answers

I t's a nd ur behaving this way caz 27th to you mind if u can get 8826th to use it's

Answer:

288

Step-by-step explanation:

{(23 + 7^2)(2^2)

{(23+49)(4)}

(23 x 4) + (49 x 4)

92 + 196

288

Which of the following is a factor of 21? 0 5 7​

Answers

Its 7 because 0 aint really an option and counting up my 5s, there is no 21 and if you count up by 7s u get 21. Hope this helps

I need help with arc measure please help I beg of you

Answers

i think it’s 93 cause it’s a central angle and then the measure is the same thing. not sure tho

what is the height of a rectangular prism that has a volume of 2880 cubic inches and a base of 240 inches

Answers

Answer:

h = 12 in

Step-by-step explanation:

To find the height, divide the volume by the base:

              2880 in^3

height:  ------------------ = 12 in

                  240 in

1) a) What are perpendicular lines and parallel lines

Answers

Perpendicular lines are lines that intersect and parallel line are lines that are parallel to each-other and never intersect

Answer:

the property of being perpendicular is the relationship between two lines which meet at a right angle.

parallel lines are lines in a plane which do not meet; that is, two straight lines in a plane that do not intersect at any point are said to be parallel.

HELP ASAP!!!
Two random samples were taken to determine how often people in a community listen to the local radio station each month.

The first sample surveyed 15 people as they exited the bank on Main Street. The first sample found that the mean number of hours they listened to the radio each month was 20.

The second sample surveyed every sixth person as they exited the only local grocery store until 100 people were surveyed. The second sample found that the mean number of hours they listened to the radio each month was 12.

Which statements are true? Check all that apply.
The second sample is random.
The second sample is likely to be more representative of the population.
The first sample is likely to be more representative of the population.
The second sample will give a better representation because is it larger.
The first sample will give a better representation because it is smaller.
Community members are more likely to listen to the radio station an average of 12 hours a month than 20 hours a month.

Answers

Answer:

The answers to this question are 1,2,4,6. Hope this helps you

Step-by-step explanation:

What is the slope of the line given by the equation below? y + 2 = -3(x - 5)​

Answers

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Polly has 2 1/2 cups of cereal. How many 3/4 cup full servings can she make? Will she have any cereal left?

Answers

Answer:

She can make 3 cups of it with 1/3 of a cup leftover.

Step-by-step explanation:

2 1/2 = 5/2

5/2 ÷ 3/4

5/2 · 4/3

10/3

3.33

Place the correct symbol in the space provided: 1/2 ___ 3/8
>
<
=

Answers

Answer:

1/2 > 3/8

Step-by-step explanation:

To compare the answers, we need to change them to the same denominator.

2x4=8

So we can create an equivent fraction of 1/2 by dividing both numbers by 4:

1x4=4

2x4=8

1/4=4/8

Now we are comparing 4/8 and 3/8, and we can see clearly that 4/8 is greater than 3/8 because 4 is greater than 3.

Hope this helped!

What is the value of z in the equation 3z + 5 = 4z - 2? I NEED THE WORK

Answers

Answer:

z=7

Step-by-step explanation:

3z+5=4z-2

5=4z-2-3z

5=z-2

5+2=z

7=z

z=7

Josie is looking at buying a new phone for $800.If she does not want to pay the entire $800 she has the option of buying the phone for a $150 deposit and making 12 monthly payments of $75 each. If Josie chooses the payment plan what will be the percent increase on the original cost of the phone?

Answers

Answer:A 131.25%

Step-by-step explanation:

The expression (n^14)(n^3) is equivalent to n^x
What is the value of x

Answers

Answer:

17

Step-by-step explanation:

add the exponents

Your answer is 17 have a good day

A pediatrician records the age (in months) and the height (in inches) of a baby over time and creates a scatter plot. Using the scatter plot, the pediatrician determines that the model that can be used to predict the baby's height is y=1.3x+18, where y is the height of the baby and x is the age of the baby. What does the 18 in the equation tell us? Need help plz i will make you the brilliants

A
The baby grows 1.8 inches per year.

B
The baby weighs 18 pounds when born.

C
The baby was 18 inches when born.

D
The baby grows 18 inches per year.

Answers

Answer:

Your answer would be C

Step-by-step explanation:

18 inches was the height of the baby when they were born since it isn't y which would be the current height of the baby now in months that tells me months have passed which includes x is the age of the baby in months.

25 km
7 km
18 km
24 km
Find the area!!

Answers

Answer:

75600k^4 m^4 Hope that help !

Step-by-step explanation:

1. Take out the constants (25×7×18×24) kkkkmmmm

2. Simplify 25×7=175 (175×18×24)kkkkmmmm

3. Simplify 175×18=3150 (3150×24)kkkkmmmm

4. 3150×24= 75600kkkkmmmm

5. The answer would be 75600k^4 m^4

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