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


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Answer:

y = 1/7x + -1/14

Step-by-step explanation:

2x−14y+−2x=1+−2x

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9514 1404 393

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  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).

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Answers

Answer:

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Step-by-step explanation:

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6.
The candle factory makes 225 candles per day. The candles are
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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...

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Answer:

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this equals -6

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For answer b,

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

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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

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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

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Step-by-step explanation:

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Step-by-step explanation:

You would place it on -18 :)

You’re welcome :)

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Answer:

d

Step-by-step explanation:

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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

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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

Step-by-step explanation:

#1

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

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Answers

Answer:

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Step-by-step explanation:

Perimeter of a Rectangle

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

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Answers

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Answers

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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

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Answer:

Step-by-step explanation:

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