Betsy participates in a scavenger hunt that requires her to retrieve items from 4 locations. The locations are on a map with the coordinates as given:

Location 1 is at (−4, −1).

Location 2 is at ​​(−4, 4).

Location 3 is at (3, 4).

Location 4 is at (3, −1).

The paths from one location to another are straight lines. One unit on the coordinate grid equals 10 yd. Betsy starts at location 1 and goes to location 2, then location 3, and then location 4, and then returns back to location 1.

What is the total distance Betsy has traveled?

Answers

Answer 1

Answer:

240 yd

Step-by-step explanation:

Let A, B, C, and D represent location 1, location 2, location 3, and location 4 respectively.

Consider the figure in the attached file.

We need to find the total distance traveled by Betsy.

The distance covered by Betsy is

length of segment AB length of segment BC length of segment CD length of segment DA.

To find the distance AB, we need to find the distance from A to B on y-axis.

So, length of segment AB units

To find the distance BC, we need to find the distance from B to C on x-axis.

So, length of segment BC units

To find the distance CD, we need to find the distance from C to D on y-axis.

So, length of segment CD units

To find the distance DA, we need to find the distance from D to A on x-axis.

So, length of segment DA units

Hence, the total distance covered is units

It is given that 1 unit equals 10 yd, so distance traveled by Besty is yd


Related Questions

Taryn is shopping for a Christmas tree. At Home Depot the one she likes is $149.00 and she has a 15% off coupon. At Lowe's the one she likes is $175.00 and she has a 20% off coupon. Which store has the better deal with their coupons? How much will she save if she gets the better deal?

Answers

Answer:

Step-by-step explanation:

At home depot

Price of Christmas tree = $149.00

Discount = 15%

Amount discounted = 15% of $149

Amount discounted = 15/100 * $149

Amount discounted = 15 * 1.49

Amount discounted = $22.35

Amount she paid = $149-$22.35

Amount she paid = $126.65

At Lowe's:

Price of Christmas tree = $175.00

Discount = 260%

Amount discounted = 20% of $175

Amount discounted = 20/100 * $175

Amount discounted = 0.2 * 175

Amount discounted = $35

Amount she paid = $175-$35

Amount she paid at Lowe's = $140

From the prices above, it can be seen that Home Depot has a better deal since the price after removing discount is lower than that of Lowe's.

Amount she will save will be $140 - $126.65 = $13.35

Need Help QUICK, Will MARK BRAINLIEST!!!! LOTS OF POINTS

Answers

Answer:

Step-by-step explanation:

Help with what

Answer:

what is the question???

Step-by-step explanation:

WILL GIVE BRAINIEST AND 20 POINTS AND 5 STARS !! NEED HELP ASAP, PLEASE EXPLAIN STEP BY STEP.Kole works in an electronic store. He estimates that he spends 42% of his pay in his own store. Write the decimal that represents the amount of pay he spends in the electronics store.

Answers

Answer:

0.42

Step-by-step explanation:

move the decimal point 2 to the left

Find the ratio between 450 ml and 1l.​

Answers

1 Liter = 1,000 mL

The ratio of mL to Liter is 450:1,000

Answer:

450mL : 1L   =    9 : 20

Step-by-step explanation:

recall that 1L = 1000 mL,

450 mL : 1L  can be expressed as

450mL : 1000 mL   (we can simplify this with the following steps)

450 : 1000     (divide both sides by 10)

45 : 100  (divide both sides by 5)

9 : 20  (answer)

3x - 11 + 2x + 5 = 180​

Answers

Answer:

First, collect the like terms

3x+2x=180+11-5

Solve for x

5x=191-5

5x=186

x=186/5=37.2

Step-by-step explanation:

I hope it helped a little, please give me brainliest

Answer:

x = 37.2

see first you've got to remove terms without the pronumeral to the other side of the equal to.

What is the equation of the line?

Answers

Answer:

y=2x=2

Step-by-step explanation:

bc the line is to the right and going up so it makes it positive and it crosses 2 on the y axis and it goes up 2 times each time

x² – 9
x² - 2x - 15
Simplify

Answers

Answer:

x^2 - 9 = (x + 3)(x - 3) = (x - 0)^2 - 9.

x^2 - 2x - 15 = (x - 5)(x + 3) = (x - 1)^2 - 16.

I assume you mean factored form?

Which of the following figures has rotated 90 counterclockwise about the origin?

Answers

Answer:

I believe the answer is B, although im not quite sure.

If f(n) = 2n + 1 and g(n) = 3n, find f(n) + g(n).

Answers

Answer:

Step-by-step explanation:

Help will mark Brainliest

Answers

Answer:

ion know if you still need the answer but i also may need more detail in order to answer your question may you explain the way it needs to be done then you will get your answer

Step-by-step explanation:

List the parts that are congruent based on the markings. Be sure to label properly!

Please helppp. I’ll give brainliest!

Answers

Answer:

Angles T and W are congruent to each other. Angles U and X are congruent to each other.

Step-by-step explanation:

Write the equation of the line that passes through
the given points.
(0, 1) and (2, 2)

Answers

Answer:

y = 1/2x + 1

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDASEquality Properties

Alg I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

y-intercept (0, 1)

Point (2, 2)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{2-1}{2-0}[/tex]Subtract:                       [tex]m=\frac{1}{2}[/tex]

Step 3: Write equation

y = 1/2x + 1

Which chemical equation is balanced?

Answers

Answer:

D as in dog

Step-by-step explanation:

4/4-x = 5/4+x what is x

Answers

Answer:

-1/8

Step-by-step explanation:

MATH

show that the probabitity that this bead is purple or red is 3/4

Answers

Answer:

pls explain in more detail and attach pic cus ive got no clue what ur asking

Where’s The Whole Problem. ?

(2x2 - 4xy + 2y2) (3x-4)

Answers

Answer:

Work shown below!

Step-by-step explanation:

[tex](2x^{2} -4xy+2y^{2})(3x-4)=6x^{3}-8x^{2}-12x^{2}y+16xy+6xy^{2}-8y^{2}[/tex]

Use this diagram and information given to find mangleAFE.


abcdef500


Given: mangleAFB = mangleEFD = 65°


Points B, F, D and points E, F, C are collinear.


The measure of angleAFE is

°.

Answers

Since they are collinear, it means the BFD is a straight line and all the angles formed by the lines resting on a straight line add up to [tex]180[/tex] degrees. So, [tex]65 + 65 + x = 180[/tex]

When we add [tex]65[/tex] and [tex]65[/tex] we get [tex]130[/tex]. So,

[tex]130 + x = 180\\\\x = 180 - 130 = 50\\[/tex]

Henceforth, [tex]x[/tex] or angle [tex]AFE[/tex] is equal to [tex]50[/tex] degrees. :D

) A rectangles length is 4 more than 3 times its width.
Its perimeter is 152. Find the length and width.

Answers

Answer:

no entiendo nada

Step-by-step explanation:

Let the width of the rectangle be 'w'

According to the question length of the rectangle (l) is 4 more than 3 times it's width;

[tex] \longrightarrow [/tex] l = 3w + 4

Perimeter of rectangle = 152

Formula of perimeter of rectangle = 2(Length + Width)

So,

[tex]\rm \implies 2(Length + Width) = 152 \\ \\ \rm \implies 2(3w + 4+ w) = 152 \\ \\ \rm \implies 2(4w + 4) = 152 \\ \\ \rm \implies 2 \times 4(w + 1) = 152 \\ \\ \rm \implies 8(w + 1) = 152 \\ \\ \rm \implies w + 1 = \dfrac{152}{8} \\ \\ \rm \implies w + 1 = 19 \\ \\ \rm \implies w = 19 - 1 \\ \\ \rm \implies w = 18[/tex]

[tex] \therefore [/tex] Width of the rectangle (w) = 18

Length of rectangle (l) = 3 × 18 + 4 = 58

The tail of a kite is 1.5 feet plus twice the length of the kite. Together, the kite and tail are 15.5 ft long. Find the length of the tail.
Which equation represents the length of the tail if the length of the kite is k?
A. 2k - 1.5
B. k - 3.0
C. k + 3.0
D. 2k + 1.5

Answers

The tail of a kite is 1.5 feet plus twice the length of the kite. Together, the kite and tail are 15.5 ft long. Find the length of the tail.
Which equation represents the length of the tail if the length of the kite is k?
A. 2k - 1.5
B. k - 3.0
C. k + 3.0
D. 2k + 1.5

Your answer would be D
Can I please get brainliest

The  equation represents the length of the tail if the length of the kite is k should be considered as the 2k + 1.5.

Calculation of the equation:

Since

The tail of a kite is 1.5 feet plus twice the length of the kite. Together, the kite and tail are 15.5 ft long.

So here we assume the length be k

So here the equation be 2k + 1.5

Hence, the option d is correct.

learn more about length here: https://brainly.com/question/16946959

LIVING ROOM Maude's living room is in the shape of a rectangle. Its dimensions are 21 feet by 14 feet. Find the length of the diagonal of the living room. Round your answer to the nearest tenth if necessary.

Answers

Answer:

25.2 feets

Step-by-step explanation:

Given that:

Rectangular shaped living room has the dimension:

21 feets by 14 feets

Length of diagonal :

Using Pythagoras :

A² = B² + C²

Diagonal² = 21² + 14²

Diagonal = √(441 + 196)

Diagonal = √637

Diagonal = 25.238

Diagonal = 25.2 feets ( nearest tenth)

Which relation is a function?

Answers

Answer:

Top left

Step-by-step explanation:

A function means that each domain (x value) can only have 1 range (y value). Also, I'm not sure if you can recognize it, but that option is actually a parent function (y = x^2)

Answer: the 4 one

Step-by-step explanation:

hope this helped!

.A club has 18 girls and 12 boys as members. The president wants to break the club into groups, with each group containing the same combination of girls and boys. The president also wants to make sure that no one is left out. What is the greatest number of groups the president can make?

Answers

18 girls and 12 boys 18+12= 30
Brake it up into 15

Pascha is factoring the polynomial, which has four terms.
3x^3 – 15x^2 + 8x - 40
3x^2(x - 5) + 8(x - 5)
Which is the completely factored form of her polynomial?
O (3x^2 – 5) (X + 8)
O (3x^2 – 8) (x + 5)
O (3x^2 + 8) (x - 5)
O (3x^2 + 5) (x – 8)

Answers

Answer:

its (3x²+8)(x-5)

Step-by-step explanation:

3x² * x = 3x³.

3x² * -5 = -15x².

8 * x = 8x.

8 * -5 = -40.

The completely factored form of her polynomial is (3x² + 8)(x - 5).

What is the factoring of a polynomial?

"Factorization of polynomials expresses a polynomial with coefficients in a given field or in the integers as the product of irreducible factors with coefficients in the same domain."

Given polynomial is:

3x³ – 15x² + 8x - 40

= 3x²(x - 5) + 8(x - 5)

= (3x² + 8)(x - 5)

Learn more about factoring of a polynomial here: https://brainly.com/question/20428956

#SPJ2

A cyclist travels 17 km from home to the park.
She leaves home at 17:15 and arrives at the park at 17:45.
What is her average speed in km/h?

Answers

Answer:

34 km/h

Step-by-step explanation:

speed = distance/time

Distance = 17km

Time = 0.5 or 1/2 hours because it's 30 minutes between 17:15 to 17:45, and 30 minutes is a half of an hour and you want km over hours

So

speed = 17/0.5

speed = 34 km/h

A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 3700 seats. The students filled 52% of the seats in the theater. How many 6th graders went on the trip?

Answers

Answer: 1924

Step-by-step explanation:

Number if seats in the theater = 3700

Percentage of seats filled by students in the theater = 52%

The number of 6th graders that went on the trip will be gotten by multiplying 52% by 3700. This will be:

= 52% × 3700

= 52/100 × 3700

= 0.52 × 3700

= 1924

1924 students went on the trip

About how many male math teachers will there be in 2016?
A. 32
B.52


Answers

Answer:

From the answers you provided the best answer is B.52

Step-by-step explanation:

It starts past 32 so there's no way it can ever be that value as the graph is continuously increasing.

Answer:

is it 32?

Step-by-step explanation:

sorry if im wrong

hope this helps

Answer this question please.​

Answers

Answer:

x = 11

Step-by-step explanation:

We know that vertical angles (opposite angles when two lines cross), are equal.

2x - 6 = 6x - 50

4x = 44

x = 11

** GIVING BRAINLIEST, A THANK YOU AND A 5 STARS***
SIMPLE QUESTION,
VIEW PIC
Which 3 Dimensional shape does Zorniah make?
Rectangular Prism
Square Pyramid
Triangular PrisM
Triangular pyramid
*view picture* Please help ​

Answers

Answer:

a triangular pyramid

Step-by-step explanation:

I just folded it in my head

Triangular pyramid-
this is because you can see that there are 4 triangles stacked on each other so that would be in conclusion a triangular pyramid also I looked on google cause I’m an idiot.

WHAT IS THE ANSWER TO B HOW MANY MILES PLEASE

Answers

Answer:

There is nothing attached

Step-by-step explanation:

No question given. What is the problem?

16. A negative number x a negative number is always positive. *
true
false
nositi

Answers

Answer:

True.

Step-by-step explanation:

I don't know the explanation behind any of it, but a negative number, when multiples by another negative number, is always positive.

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