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 of a foot, find the direct distance between Jalen and the entrance.

Answers

Answer 1

Answer:

113.18

Step-by-step explanation:

[tex]\sqrt{113^{2}+32x^{2}[/tex]

SF=113.18

Answer 2

The direct distance between Jalen and the entrance is 144.6 feet.

What is distance?

The distance of an object can be defined as the complete path travelled by an object .Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion.

Given:

Place everything on an xy grid with the Entrance at (0,0).

Then the Ferris Wheel is at (95,156) and the Swings are at (-23,124).

Cody is halfway between them,

so he is at

(95-((95-(-23)/2)),156-(156-124/2) or (36,140).

The distance from Cody to the entrance, using Pythagoras, is square root of

(362+1402)

=144.6 feet

Therefore , the direct distance between Jalen and the entrance is 144.6 feet.

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Related Questions

Adrian is a songwriter who collects royalties on his songs whenever they are played in a commercial or movie. Adrian will earn $40 every time one of his songs is played in a commercial and he will earn $130 every time one of his songs is played in a movie. Adrian earned a total of $1010 in royalties on 14 commercials and movies. How many commercials and movies did Adrian's songs play on?

Answers

Answer:

Adrian's songs played on 9 commercials and 5 movies.

Step-by-step explanation:

Let x denotes number of commercials and y denotes number of movies.

Total number of commercials and movies = 14

So,

[tex]x+y=14\\x=14-y\,\,\,\,...(i)[/tex]

Adrian will earn $40 every time one of his songs is played in a commercial and he will earn $130 every time one of his songs is played in a movie

Total amount earned = $1010

[tex]40x+130y=1010\,\,\,...(ii)[/tex]

Put [tex]x=14-y[/tex] in (ii)

[tex]40(14-y)+130y=1010\\560-40y+130y=1010\\90y=1010-560\\90y=450\\y=\frac{450}{90}=5[/tex]

Put [tex]y=5[/tex] in [tex]x=14-y[/tex]

[tex]x=14-5=9[/tex]

Therefore, Adrian's songs played on 9 commercials and 5 movies.

Factor 2x^2-x-10. Rewrite the trinomial with the x term expanded using 2 factors.Then group the first 2 and last 2 terms together and find the Gcf of each
Trinomial (2x- ___) + (4x-10)
Gcf __ (2x-5) + __ (2x-5)

Answers

Answer:

Trinomial: (2x² – 5x) + (4x – 10)

GCF: x (2x – 5) + 2 (2x – 5)

Step-by-step explanation:

2x² – x – 10

The equation above can be factorised as follow:

2x² – x – 10

Multiply the first term (i.e 2x²) and the last term (i.e –10) together.

2x² × (–10) = –20x²

Find two factors of –20x² such that when we add them together, it will result to the 2nd term in the equation (i.e –x).

The factors are 4x and –5x.

Next, replace –x in the equation above with 4x and –5x. This is illustrated below:

2x² – x – 10

2x² – 5x + 4x – 10

Next, factorise

2x² – 5x + 4x – 10

Trinomial: (2x² – 5x) + (4x – 10)

GCF: x (2x – 5) + 2 (2x – 5)

Eric is swimming along the surface of the sea. He uses positive numbers to represent elevations above the surface of the sea and negative numbers to represent depths under the surface of the sea. Mark is sitting on the deck of a ship above Eric , and Ariel is diving beneath Eric. Who could be at an elevation of -3 m?

Answers

Answer:

Ariel will be at an elevation of -3 m.

Step-by-step explanation:

There are three persons Eric, Mark and Ariel.

Location of these persons are,

Mark - Sitting at deck (Above the sea level)

Eric - swimming along the surface (At the sea level)

Ariel - diving beneath Eric (Below the sea level)

Since, all the distances above the sea level are measured with positive notation and below the sea level with negative.

Ariel will be at an elevation of -3 m.

Answer:

Ariel

Step-by-step explanation:

khan says so

How much is the interest on my loan?
I borrowed $400 to buy an MP3 player. I got a two-year loan,
and the lender is charging 8% Simple annual interest. How
much money will I have to pay back?
Time
Interest Principal
$ ?
$400
Rate
0.08
2
/= Prt
1 = 400 x 0.08 x 2
Interest
I
1.00

Answers

You will have to pay back a total of $464 over the course of the two-year loan, which includes the $400 principal plus $64 in interest.

What is Simple Interest ?

Simple interest can be defined as the ratio of product of principal amount , rate , time and hundred.

The interest on your loan can be calculated using the formula:

Interest = Principal x Rate x Time

In this case, the principal is $400, the rate is 8% (or 0.08 as a decimal), and the time is 2 years.

So, plugging in the numbers:

Interest = $400 x 0.08 x 2 = $64

Therefore, the total amount you will have to pay back is the sum of the principal and the interest, which is:

Total = Principal + Interest

= $400 + $64 = $464

Hence, You will have to pay back a total of $464 over the course of the two-year loan, which includes the $400 principal plus $64 in interest.

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In the diagram, point D divides line segment AB in the ratio of 5:3. If line segment AC is vertical and line segment CD is horizontal, what are the coordinates of point C?



A.
(7, -1)
B.
(2, -3)
C.
(2, -1)
D.
(5, -3)
Rese

Answers

Answer:

a

Step-by-step explanation:

Answer:

The correct answer for plato is option C

Step-by-step explanation:

C. (2, -1)

Given m||n, find the value of x.
(8x-27) (7x-4)

Answers

Answer:

56ײ-221x+108

Step-by-step explanation:


Peter drives at a speed of 70 miles per hour.
How long will it take to drive 455 miles?
hours

Answers

Answer: 6.5 hours

Step-by-step explanation:

You have to find out how long it’ll take, so you divide the total amount by the speed, so 455/70=6.5

Answer:6

Step-by-step explanation:

6x+8=x-2 what is the answer to this

Answers

Answer:

x= -2

Step-by-step explanation:

6x+8=x-2

6x-x= -2-8

5x= -10

x= -10/5

x= -2

easy to read
Practice Problems
1.4.-62

Answers

Answer:

1.4-62=-60.6

Step-by-step explanation:

Ask me if you need any other help!

Doughnuts are sold in bags and cartons.
A bag hold 4 doughnuts and a carton holds 10 doughnuts
Tom buys B bags and C cartons of doughnuts.
He buys a total of T doughnuts.
Write down a formula for T in terms of B and C

Answers

Answer:

t = b4+c10

Step-by-step explanation

4 times however how many bags

10 times however how many cartons

the person above me is correct!!!(:

What is a uniform circular motion?
a. Uniform circular motion is when an obiect accelerates on a
circular path at a constantly increasing velocity
b. Uniform circular motion is when an object travels on a
circular path at a variable acceleration
c. Uniform circular motion is when an object travels on a
circular path at a constant speed
d. Uniform circular motion is when an object travels on a
circular path at a variable speed (answer this quickly pls)​

Answers

Answer:

C. Uniform circular motion is when a object travels on a circular path at a constant speed.

i need help me please :(

Answers

(4/3) (3.14)(1)
(1.33)(3.14)
4.188
=4.2

3) x-intercept = -3, y-intercept = 1
Y=-3/1 x -3
Would that be how I set it up in the formula form?

Answers

Answer:

y = 1/3x+1

Step-by-step explanation:

Use the intercepts to find the slope

(-3,0) and (0,1)

(1-0) / (0-(-3)) = 1 / 3

Plug it into the equation

y= 1/3x + 1

An____ is a number, a variable, or a combination of numbers and variables and operation symbols.

A. Equation
B. Expression
C. Ratio
D. Proportion

Answers

Answer:

Expression.

Step-by-step explanation:An expression containing variables, numbers, and operation symbols is called an algebraic expression. is an example of an algebraic expression. Each expression is made up of terms. A term can be a signed number, a variable, or a constant multiplied by a variable or variables.

An expression is a number, a variable, or a combination of numbers and variables and operation symbols.

What is Expression?

An expression is combination of variables, numbers and operators.

An expression is a number, a variable, or a combination of numbers and variables and operation symbols.

For example 2x+3y-4

In the given expression x and y are the variables.

plus and minus are the operation symbols.

4 is a number and 2 and 3 are the coefficients of a variable.

If the expression has an equal sign then it becomes the equation.

Hence, an expression is a number, a variable, or a combination of numbers and variables and operation symbols.

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Dave is making lemonade. For each 8 cups of water, he uses 3 cups of lemon juice and 2 cups of sugar. If w the number of cups of water, l is the number of cups of lemon juice, and s is the number of cups of sugar, which equations are correct?
A. l = 3/8 (w)
B. l = 3s
C. w= 4s
D. l = 2/3 (s)

Answers

I believe it’s C but I’m not sure

Answer: A and C are correct.

Step-by-step explanation:

Look at the proportions. For 8 cups of water there are 3 cups of lemon juice. So L 3/8(w)

For 8 cups of water there are 2 cups of sugar. 8 is 4 times 2. So the amount of water is 4 times the amount of sugar. W= 4s

The fastest recorded lava flow moved at an average speed of 7 miles per hour. The function y = 7x
describes the distance y the lava moved on average in x hours. Graph the function. Use the graph to
estimate how many miles the lava moved after 6.5 hours.
50
y
45
40
35
30
25
20
15
10
5
.
0
0
1
2
3
4
5
6
7
8
9
10
?
y = 7x

Answers

Put this on a graph (I recommend putting the coordinates into desmos for easy graphing)

0 hours: (0, 0)

1 hours: (1, 7)

2 hours: (2, 14)

3 hours: (3, 21)

4 hours: (4, 28)

5 hours: (5, 35)

6 hours: (6, 42)

6.5 hours: (6.5, 45.5)

After 6.5 hours the lava would have travelled approximately 45.5 miles

I hope this helps you!

7 is a solution to the equation 3n + 9 = 33.
true or false

Answers

Answer:

false

Step-by-step explanation:

3(7) = 21+9 = 30

Answer:

False

Step-by-step explanation:

Hope This Helps!!!

Write an inequality
I can work at most 30 hours per week

Answers

Answer:

[tex] h \le 30 [/tex]

Step-by-step explanation:

Let h = number of hours of work.

At most 30 hours means 30 hours or less.

[tex] h \le 30 [/tex]

Solve -16x = -80.
-5
5
-96
-64
Will mark as brainliest

Answers

[tex] - 16x = - 80[/tex]

Divided sides by -16

[tex] \frac{ - 16}{ - 16}x = \frac{ - 80}{ - 16} \\ [/tex]

[tex]x = 5[/tex]

And we're done...♥️♥️♥️♥️♥️

A 3. What is the midpoint M given S(-8,-6) and T(4, 12)?
0 (-2,3)
O (7,8)
0 (-6, -9)
0 (-1,-4)

Answers

Answer:

The answer is ( - 2 , 3)

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )\\[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

S(-8,-6) and T(4, 12)

We have

[tex]M = ( \frac{ - 8 + 4}{2} \: , \: \frac{ - 6 + 12}{2} ) \\ = ( - \frac{4}{2} \: , \: \frac{6}{2} )[/tex]

We have the final answer as

( - 2 , 3)

Hope this helps you

Write an inequality for the graph.

Answers

Easy buddy...

[tex]y \geqslant |x - 5| + 1 [/tex]

Just it....

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

. Line A is represented by the equation y=1/4x+5
(a) Write in slope-intercept form the equation of a line that is parallel to Line A and passes through the point, (8, 2) − . Show your work.
(b) Write in slope-intercept form the equation of a line that is perpendicular to Line A and passes through the point, (4, 1) . Show your work.

Answers

Answer:

(a) y = 1/4x - 4

(b) y = -4x + 17

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

(a)

Parallel lines have the same slope but different y-intercepts.

m = 1/4x

y = 1/4x + b

-2 = 1/4(8) + b

-2 = 2 + b

b = -4

y = 1/4x - 4

(b)

Perpendicular lines have the negative reciprocal slope.

m = -4

y = -4x + b

1 = -4(4) + b

1 = -16 + b

b = 17

y = -4x + 17

(3x-8)(x + 2) = 2x2​

Answers


3x(x+2)-8(x+2)=4
3x^2+6x-8x-17=4
3x^2-2x-21=0
3x^2-9x+7x-21=0
3x(x-3)+7(x-3)=0
(x-3)(3x+7)=0
Either
x-3=0
x=3
Or
3x+7=0
x=-7/3

1. -9n + 1 = -80
2. 144 = 144 = -12(m + 5)
3. -243 = -9(10 + r)
4. -10 = -10 + 7x
5. 4 - 7m = - 66
6. 2(y – 3) = −12
7. 16 = 2(1 + 7a)
8. 3 + 5r = −47
9. −10x + 6 = −74

With work please :) Please and ty

Answers

Answer:

1. n = 9

2. m = - 17

3. r  =  17

4. x  =  0

5. m = 10

6. y = -3

7. a = 1

8. r = -10

9. x = 8

Step-by-step explanation:

A rectangle has a length that is 3 more than twice the width. Its perimeter is 96 inches.
Which equation models this?

Answers

Answer:

8x=96 inch

Step-by-step explanation:

How its in the draw you have this situation then the equation that model is the next one:

2*(3X) + 2*X = 96 inch

6X + 2X = 96 inch

8X=96 inch

We must multiply due that there is two sides that measure the same.

The equation which models this situation is,

⇒ 96 = 2 ((3 + 2x) + x)

or ⇒ 96 = 2 (3 + 3x)

What is mean by Rectangle?

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

We have to given that;

A rectangle has a length that is 3 more than twice the width.

And, Its perimeter is 96 inches.

Let the width of rectangle = x

So, The length of rectangle = 3 + 2x

Now, We know that;

⇒ Perimeter of rectangle = 2 (Length + Width)

Substitute all the values, we get;

Perimeter of rectangle = 2 (Length + Width)

⇒ 96 = 2 ((3 + 2x) + x)

⇒ 96 = 2 (3 + 3x)

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Select the equation that is the inverse of the given function.
f (x) =( x minus 3 Over 5)

Answers

Answer:

x+3/5

Step-by-step explanation:

f(x)=x-3/5

y=f(x) let

y=x-3/5

put x at y and y at x

then,

x=y-3/5

y=x+3/5

f(x) inverse is x+3/5

Solve and show your work or explain.
[tex]x-\sqrt{2x-5}=5[/tex]

Answers

Answer:

[tex]x= 6+ \sqrt {6}[/tex]

Step-by-step explanation:

[tex]-\sqrt {2x-5}+x=5\\-\sqrt {2x-5}=-x+5\\\\\frac {-\sqrt {2x-5}}{-1} = \frac {-x+5}{-1}\\\\\sqrt {2x-5}=x-5\\2x-5=(x-5)^2\\2x-5=x^2-10x+25\\2x-5-(x^2-10x+25)=x^2-10x+25-(x^2-10x+25)\\-x^2+12x-30=0\\\\x=\frac {-12(+/-)\sqrt {12^2-4(-1)(-30)}}{2(-1)}\\\\x=6+\sqrt {6}[/tex]

state whether the linear equation has one (unique),infinely many,or no solutions

12(x+8)=11x-5


PLZ HELP! DO NOT PUT A SILLY AWSER I WILL REPORT U!

Answers

Answer:

One solution

Step-by-step explanation:

12x+96=11x-5

12x-11x= -5-96

x= -101

x only equals one solution, which is -101.

QUICK I NEED HELP!!!

Solve the absolute value:
| x + 1| + 3 <4

Answers

Answer:

x<0 and x>-2

Step-by-step explanation:

Answer:

x<0 and x>−2

Step-by-step explanation:

Step 1: Add -3 to both sides.

|x+1|+3+−3<4+−3

|x+1|<1

Step 2: Solve Absolute Value.

|x+1|<1

We know x+1<1 and x+1>−1

x+1<1(Condition 1)

x+1−1<1−1(Subtract 1 from both sides)

x<0

x+1>−1(Condition 2)

x+1−1>−1−1(Subtract 1 from both sides)

x>−2

3x2 + 8x - 10
Please someone help ...

Answers

3x2+8x-10 // the answer is 8x
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