AT the amusement park, the Ferris wheel is located 95 feet east and 156 feet north of the entrance. The swings are located 23 feet west and 124 feet north of the entrance. If Jalen is standing exactly three-eights the distance from the Ferris wheel to the swings, to the nearest hundredth foot, find the direct distance between Jalen and the entrance.

Answers

Answer 1

Answer:

131.58 feet

Step-by-step explanation:

Let the coordinates of the entrance be (0, 0). Since the Ferris wheel is located 95 feet east and 156 feet north of the entrance, its coordinates are (95, 156). Also, the swings are located 23 feet west and 124 feet north of the entrance. The coordinates of the swings are (-23, 124).

So, we find the distance, d between the Ferris wheel and the swing using

d = √[(x₂ - x₁)² + (y₂ - y₁)²] where d is the distance between coordinates (x₁, y₁) and (x₂, y₂).

Now  (x₁, y₁) = (95, 156) and  (x₂, y₂) = (-23, 124)

So, d = √[(x₂ - x₁)² + (y₂ - y₁)²]

d = √[(-23 - 95)² + (124 - 156)²]

d = √[(-118)² + (-68)²]

d = √[13924 + 4624]

d = √18548

d = 136.191 feet

Since Jalen is standing exactly three-eights the distance from the Ferris wheel to the swings, his distance from the Ferris wheel is d' = 3d/8 = 3 136.191/8 = 51.072 feet ≅ 51.07 feet

We now calculate the distance d' of the Ferris wheel to the gate. Since the coordinates of the gate are (0, 0) and the coordinates of the Ferris wheel are (95, 156), we use

d" = √[(x₂ - x₁)² + (y₂ - y₁)²]

Now  (x₁, y₁) =  (0, 0)  and  (x₂, y₂) = (95, 156)

So, d" = √[(x₂ - x₁)² + (y₂ - y₁)²]

d" = √[(95 - 0)² + (156 - 0)²]

d" = √[95² + 156²]

d" = √[9,025 + 24,336]

d" = √33,361

d" = 182.65 feet

Now the direct distance, D between Jalen and the entrance is thus distance from Ferris wheel to entrance minus distance from Jalen to Ferris wheel =  d" - d'

= 182.65 feet - 51.07 feet

= 131.58 feet


Related Questions

Plz help me with this question
10 points

Answers

9514 1404 393

Answer:

  The sequence 18

Step-by-step explanation:

After Nolan brings down a zero, the dividend Nolan will be 20, the same one he started with. So, he will get the same result he has gotten so far: the first quotient digit is 1 and the second quotient digit is 8, resulting in a new dividend of 20 (after the 0 is brought down).

The digits 18 will repeat until Nolan gets tired.

A bird travels 200 meters in 50 seconds. What is its average speed?

Answers

Answer:

4 meters per second

Step-by-step explanation:

200 ÷ 50 = 4

Answer:

i have this question on my test so this is a life saver

Step-by-step explanation:

thanks

6.
The candle factory makes 225 candles per day. The candles are
sold in boxes of 5. How many boxes of candles does the
factory make each day? ** YOU MUST SHOW WORK EVEN ON
MULTIPLE CHOICE!!
A 45
B. 220
C. 450
D. 1125
A
B
D

Answers

First, you have to divide the candles by 5.

225/5 = 45

That's it, so you get your answer 45!!!!

worth a brainliest I need help on a and b!! I won't be accepting any ridiculous answers and if you do answer something stupid like "I can't read it. Sorry. Too small." Or "idk haha" I won't hesitate to spam all of your answers with the same response you gave me, taking your points...

Answers

Answer:

For answer a,

the equation is -1 - 5

this equals -6

From -1 to -6 is 5

A.) The difference is 5

For answer b,

the equation is  -7 - (-3)

There are two minus signs by the -3 so that means to turn those two signs into a plus sign

- 7 + 3

Start at -7 and move to the right 3

You will end up at -4

B.) The difference is 3

2/3x − 1/5x = x −1 equals what? I'm confused on this

Answers

Answer:

x=15/8

Step-by-step explanation:

1, 2, 3, or 4?

i need this ASAP!!

will give brainliest and a thanks to fast answers

Answers

Answer:

Step-by-step explanation:

-10 since +5-15 =-10 so 2

Answer the question please:
The correct answer will be marked as brainliest =)
thanks xoxo

Answers

Answer:

Step-by-step explanation:

(3^2)^2*(10^3)^2= 8.1*10^7

Broken down to

81*1000000= 81,000,000

Answer:

Step-by-step explanation:

(3²)² is 9², and (10³)² is 1000² so its 9² x 1000² or 9000² or 81 million, 81000000.

Hope this helps ;D

Write an equation, then determine the number described in the following statement: Eight less than 3 times a number is twice the sum of x and 4.

Answers

So eight (8) less than (3) times a number ( 8 - 3x) is (=) twice the sum of x (2x) and (4) so the answer would be 8 - 3x = 2x + 4

what is always true about a line that Slants downward from left to right select all that apply help plz​

Answers

Answer:

A line that slants down from left to right has a negative slope. Horizontal and vertical lines also have a slope.

Step-by-step explanation:

Of the 1,740 students surveyed, 2 out of every 3 students said they prefer basketball to soccer. How many students prefer basketball?

Answers

Answer:

x=1160 HAVE A GREAT DAY!!! :D

Step-by-step explanation:

Okay! So, first you would set up a proportion

x/1740=2/3

Then you cross multiply

3x=3480

After that, you divide both sides of the equation by 3

x=1160

Write an equation for the line parallel to the given line that contains C.
y =

Answers

Answer:

y=3/7x+46/7

Step-by-step explanation:

Parallel lines have the same slope. This means in the equation y=mx+b, m=3/7 for sure. Then, it gives us the point (1,7). The line has to go through this point so we plug it in: 7=3/7(1)+C. Then, we solve for C using algebra.

7-3/7=C

C=46/7

The two triangles below are similar. What value of Q and B would make this true

Answers

Answer:

∠B = ∠Q = 26°

Step-by-step explanation:

The angles B and Q should be same, therefore:

Q = 4x + 2 and B = 15x - 64

The equation below as per above, solving for x:

4x + 2 = 15x - 6415x - 4x = 64 +211x = 66x = 6

Then the angle measures:

4*6 + 2 = 26°

Multiply −47(−35)(−73). Simplify your answer.

Answers

Answer: -120085

Step-by-step explanation:

i’ll mark brainliest

Answers

Answer:

A

Step-by-step explanation:

ok so pretend the 2.00 was just 2 so whats 8 divided by 2? 4 right so if we test that witht he other problems its the same so its A

Hope this helps!!!!     :D

A rock is thrown from a cliff into a ravine. The function ℎ() = −16^2 + 19 + 2560 describes the height, in feet, of the rock from the ground seconds after it is thrown. What is the height of the rock, in feet, 2 seconds after it is thrown?

Answers

Answer:

d

Step-by-step explanation:

. Divide the circumference by the ant length in meters. About how many ants would make a trail around the Earth? Write the standard form, and scientific notation.

Answers

What the length of the radius??? Or diameter??

​The perimeter of a triangle is 43 inches. The second side is 4 times as long as the first side. The third side is 1 inch longer than the first side. What is the length of each side

Answers

Answer:

First side=7

Second side =28

Third side =8

explanation:

Perimeter of a triangle is the sum of the length of the sides of the triangle. Given that the perimeter of the triangle = 43 inches

Second side is 4 times the first side

Third side is 1 inch longer the first

Let's call the first side x

Then equation for the perimeter of the triangle is given by

x+4x+x+1=43

We solve for x

6x+1=43

6x=43-1

6x=42

x=42/6

x=7

Therefore the first side x=7, the second side is 4x= 4*7=28, third side= 1+x= 1+7=8

please help me this question​

Answers

Answer:

(b) or (d)

Step-by-step explanation:

stidents who play basketball = 4y^2 + y - 8 - (2y + 16) = 4y^2 - y - 24

This is a question on forming and solving equations and expressions. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Answer:  Choice (b) 4y^2 - y - 24;  top right corner

===========================================================

Work Shown:

T = total number of students in the class

T = 4y^2 + y - 8

F = number of students who play football

F = 2y+16

B = number of students who play basketball

B = unknown for now

Since a student either plays football or basketball, but not both, this means

T = F+B

which rearranges to

B = T-F

Plug in the given expressions and simplify

B = T-F

B = (4y^2+y-8) - (2y+16)

B = 4y^2+y-8 - 2y - 16

B = 4y^2 + (y-2y) + (-8-16)

B = 4y^2 - y - 24

)If 1 gallon is equal to 4 quarts, then 6 gallons would equal ___ quarts.

Answers

Answer:

24

Step-by-step explanation:4x6

Answer:

24

Step-by-step explanation:

someone please help
i will give brainliest

Answers

Answer:

its -18 going to the right closed circle

Step-by-step explanation:

Answer: r >_ (greater than or equal to) -18

Step-by-step explanation:

You would place it on -18 :)

You’re welcome :)

Please help me....Could you answer these 2 questions correctly?

Answers

Answer:

A

Step-by-step explanation:

for the two of them, the first answer is the answer

Answer:

#1 - First option: y + 7 =  [tex]\frac{-1}{4}[/tex](x -4)

#2 - First option: y = 2x - 5

Step-by-step explanation:

#1

Given: (x1,y1) = (4,-7) and m = [tex]\frac{-1}{4}[/tex];

To find the point slope form which is

y - y1 = m(x - x1); substitute (x1,y1) and m

y - (-7) = [tex]\frac{-1}{4}[/tex](x -4)

y + 7 =  [tex]\frac{-1}{4}[/tex](x -4)

#2

Given: points (x1,y1) = (0, -5) and (x2,y2)=(4,3)

To find the slope we use

m = [tex]\frac{(y2-y1)}{(x2-x1)}[/tex] = [tex]\frac{(3-(-5))}{(4-0)}[/tex] = [tex]\frac{8}{4}[/tex] = 2

Now pick a number to find b

y = mx + b

y1 = mx1 + b

-5 = 2(0) + b

b = -5

now plug into y = mx + b; which is

y = 2x - 5

Solve the equation for y. 2x−14y=1

Answers

Answer:

y = 1/7x + -1/14

Step-by-step explanation:

2x−14y+−2x=1+−2x

−14y=−2x+1

−14y /−14  =  −2x+1 /−14

What additional information is needed to show that ABC 2 ADEF by ASA?

A.AB≈DE
В.BC≈EF
с.AB ≈AC
D.AC≈DF

Answers

Answer:

AB≈DE

then, in triangle ABC&in triangle DEF

angle CAB =angle FDE

side AB= side DE

angle ABC= angle FED

So, triangle ATC≈ triangle DEF (A.S.A)

On weekdays it costs £6.50 per hour to hire a tennis court at Meadway
Tennis Club. On Saturdays the cost is 30% more. How much does it cost to
hire a court for 2 hours on a Saturday?

Answers

Answer: £16.90

Step-by-step explanation:

From the question, we are informed that it costs £6.50 per hour to hire a tennis court at Meadway Tennis Club but that on Saturdays the cost is 30% more. The cost in Saturdays per hour will then be:

= £6.50 + (30% × £6.50)

= £6.50 + ( 0.3 × £6.50)

= £6.50 + £1.95

= £8.45

The cost to hire a court for 2 hours on a Saturday will then be:

= £8.45 × 2

= £16.90

Which fractions are equivalent to -0.3? Select ALL that apply.

Answers

Answer:[tex]-\frac{3}{10}[/tex]

Step-by-step explanation:

The answer is negative three tenths -3/10

.
Solve the system of equations 3x + 2y = 22 and x - 2y = -6.
solve system of equations

Answers

Answer:

x=4

y=5

Step-by-step explanation:

inform me if u cant open the image

Answer:

(4,5)

Step-by-step explanation:

I solved through substitution

3x+2y=22

x-2y=-6 ----> -2y=-6-x ----> -2y=-x-6 -----> y=1/2x+3

Solving for x:

3x+2y=22

3x+2(1/2x+3)=22

3x+x+6=22

4x+6=22

4x=16

x=4

Solving for y:

x-2y=-6

4-2y=-6

-2y=-10

y=5

(4,5)

HELP WILL GIVE BRAINIEST AND 60 POINTS AND 5 STARS!!!! ITS DUE IN 10-15 MINUTES I NeeD the answer to this and explain why you got ur answer using math terminology or math logic

Answers

Answer:

I'm going to say the square roo of 36

Step-by-step explanation:

If you think about it the square root of 36 is 6

the square root of 21 is 4.582

1/5 is 0.2

and 2/3 is 0.66

so with that information you can conclude that the square root of 36 has a higher value than the other numbers

4. Mariana receives a $20 gift card for
downloading music and wants to
determine how many songs she can
purchase. Each downloaded song costs
$1.29
a.
Let m represents the number of songs
downloaded. Write an inequality that
represents this given situation?
b. What is the maximum number of songs
Mariana can download?

Answers

Answer:

inequality-    1.29m <20

maximum number of songs- 15 songs

Step-by-step explanation:

For the inequality, you see that she only has $20 so whatever she buys has to be below that so use the less than sign. You also see that each song is worth $1.29 so 1.29m. For the maximum number of songs, you divide 20 by 1.29 and just ignore the remainder.

Answer:

c

Step-by-step explanation:

The length of a rectangle is 10 more than 10 twice the width , if the perimeter is 80inches find the length the width

Answers

Answer:

The width is 10 inches

The length is 30 inches

Step-by-step explanation:

Perimeter of a Rectangle

The perimeter of a rectangle of length L and width W is calculated as follows:

P = 2L + 2W

It's given the length of a rectangle is 10 more than twice the width:

L = 2W + 10

Substituting into the formula of the perimeter:

P = 2(2W + 10) + 2W

Operating:

P = 4W + 20 + 2W

P = 6W + 20

It's given this perimeter is 80 inches, thus

6W + 20 = 80

Subtracting 20:

6W = 80 - 20 = 60

Dividing by 6:

W = 60 /6 = 10

Since :

L = 2W + 10

L = 2*10 + 10

L = 30

The width is 10 inches

The length is 30 inches

What is the probability, P, of an event that is certain to occur?
P=

Answers

Answer:

1

Step-by-step explanation:

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