On a park ma, the ranger station is located (2.5, 3.5) and the nature center is located at (0.5, 4). Each unit in the map is equal to 0.5 mile. What is the approximate distance between the ranger station and the nature center?

Answers

Answer 1

Answer: [tex]1.0308\text{ miles}[/tex]

Step-by-step explanation:

Distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] :

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The ranger station is located (2.5, 3.5) and the nature center is located at (0.5, 4) .

Distance between ranger station and nature center

[tex]\sqrt{(2.5-0.5)^2+(3.5-4)^2}=\sqrt{2^2+(-0.5)^2}\\\\=\sqrt{4+0.25}\\\\=\sqrt{4.25}\\\\=2.0616\text{ units}[/tex]

Each unit in the map is equal to 0.5 mile.

Hence, Distance between ranger station and nature center  = [tex]2.0616\times0.5=1.0308\text{ miles}[/tex]


Related Questions

"The output is 5 less than twice the input

Answers

Answer:

x=2x-5

Im pretty sure that's it

Look at the arithmetic sequence below. Use the boxes to create a recursive formula for the sequence. 18, 21, 24, 27, 30, 33... Response area =

Answers

Answer:

we have:

u(1) = 18

u(2) = 21 = 18 + 3

u(3) = 24 = 18 + 3.2

u(4) = 27 = 18 + 3.3

.......

=> the sequence has: u(1) = 18

                                    d = 3

=> u(n) = 18 + 3(n - 1) = 3n + 15

so the recursive formula for the sequence is u(n) = 3n + 15

Step-by-step explanation:

16.0 grams of food contain 130 calories. How many grams of food would you need in order to consume 2150 calories?

Answers

Answer:

you can set up a proportion

16.0/130  = x/2150

by cross multiplying you get

130x = 34400

divide by 130 and get

x-264.62

The answer is 16.5834 calories
Hope this helps good luckkkk :)

HELP WILL MARK BRAINLIST!!!!!!!!!!! DUE TODAY 10:52 Write 1/8% as a decimal number. Enter your answer in the box.

Answers

Answer:

12.5

Step-by-step explanation:

Answer:

.125

Step-by-step explanation:

divide 1 by 8

or  divide 1 by 4 then divide by 2

Question 6
Given h(x) = -8(x - 5), what is the value of h(-6)?
Previous

Answers

Answer:

h(-6) = 88

Step-by-step explanation:

h(-6) = -8(-6 - 5)

       = -8(-11)

       = 88

i need serious help cause i didnt pay attention at all in class

Answers

Answer:-3<y<2

The answer should be D

I NEED HELP‼️
Select all relations that are functions.
{(3,2), (5,8), (2,-2)}
{(4,-2),(4,-3),(4,6)}
{(-1,2),(-2,2),(-3,2),(-4,2)}
{(-7,5).(6,-3).(5,8)}

Answers

Answer:

All but the second one

Step-by-step explanation:

The rule of a function is that you can't have the same x values in an expression. You can have multiple y values but not multiple x values.

At a college bookstore, Tanisha bought a Math Textbook and a Novel for $54. If the price of the Math Textbook is $8 more than 3 times the price of the Novel, then how much is the price of each book?

Answers

Answer: Price of Math Textbook= $42.5,  Price of the Novel= $11.5

Step-by-step explanation:

Let x = price of the Novel.

Price of Math Textbook = 8+3x

As per given , we have

Price of Math Textbook + Price of the Novel = $54

⇒ 8+3x+x = 54

⇒ 8+4x=54

⇒ 4x = 46     [subtract 8 from both sides]

⇒ x = 11.5

Price of Math Textbook = 8+3(11.5) = 8+34.5= $42.5

Hence, Price of Math Textbook= $42.5,  Price of the Novel= $11.5

If you earn $13/hour and you work 2 hours overtime at a rate of time and a half, how much will you earn for each hour of overtime?

Answers

Answer:

32.50

Step-by-step explanation:

It is simple. You need to know the basics of money, fractions, and well... Math! :)

if you take 13 and multiply it by 2 you get 26

Take the 26 and put it aside ------------->         26

divide 13 in half. that would be 6.50

6.50 + 6.50 = 13      

Now get the 26 -------------------------->  26

and add 6.50 to 26.

That would be 32.50!

Please make sure to follow and like! :)

help how do yall find this easy i cannot-

Answers

Answer:

153/50 or 3.06

Step-by-step explanation:

Just convert them into improper fractions and put parenthesis around the numbers with a division symbol in the middle of the two numbers.

Ex. (3/2)*(4/3)

What should you do during the editing stage of the writing process?

Answers

Check for typos, proper grammar (commas, capitalization, tense) you can also check for words that could be replaced with more advanced synonyms to make your writing more formal.

Can someone please help with this.

Answers

Answer:

92

Step-by-step explanation:

Sum of 2 interior angles= exterior angle so

148=56+h

h= 148-56

A ladder that is 21 feet long is propped against a building. The bottom of the ladder was placed 4 feet from the base of the building. How high up on the building does the ladder reach? Round the answer to the nearest tenth of a foot

Answers

Answer:

20.62 feet

Step-by-step explanation:

The ladder propped against a building forms a right angle triangle

Height of the ladder (hypotenuse) = 21 feet

Base of the ladder from the building (adjacent) = 4 feet

Height of the building (opposite) = x feet

Hypotenuse ² = opposite ² + adjacent ²

21² = x² + 4²

21² - 4² = x²

441 - 16 = x²

425 = x²

x = √425

= 20.62 feet

Answer: 20.62 ft or rounding it to 20.6 ft

Step-by-step explanation:

Given the function f(x) = 3|x – 2| + 6, for what values of x is f(x) = 18?
x = –2, x = –8
x = –2, x = –6
x = –2, x = 6
x = –2, x = 8

Answers

Answer:

x = -2, x = 6

Step-by-step explanation:

18 = 3|x - 2| + 6

12 = 3|x - 2|

4 = |x - 2|

4 = x - 2    and    -4 = x - 2

x = 6    and    x = -2

Answer:

C

Step-by-step explanation:

x = -2    x = 6

got it right on EDGE

PLEASE HELP. Write the equation in slope-intercept form for the line that contains the points
(3,-5) and (5,- 1)
a. y = 2x + 11
b. y = 2x + 1
c. y = 2x - 11
d. y = 2x - 1

Answers

Answer:

y=2x-11

Step-by-step explanation:

which expression is equivalent to the given expression? 2x^2-14x+24

A.) 2(x-3)(x-4)
B.) 2(x-5)(x-2)
C.)(2x-12)(x-2)
D.)2(x-8)(x+3)​

Answers

A. Just gotta simplify it

Answer:

2(x-3)(x-4)

Step-by-step explanation:

i believe thats the answer

what is 7x+3(8x-7) I need it in standard form

Answers

Answer:

31x-21

Step-by-step explanation:

Distribute:7x+24x-21

Add like terms:31x-21

Answer:31x-21

the answer is 31x-21

is someone willing to help me with my math homework? i really don’t understand :/

Answers

What is the homework?

solve for c

solve for r

Answers

Answer:

Step-by-step explanation:

9(c+7)=27

9c+63=27  subtract 63 from both sides

9c=  -36  divide by 9

c= -4

3(2r-8)+4r=76 foil

6r-24+4r=76 combine like terms

10r-24=76 add 24 to both sides

10r+100  divide by 10

r= 10

x – 7y = –11
5x + 2y = -18

Answers

Answer:

hope this help you

Step-by-step explanation:

Simplifying

X + -7y = -11

Solving

X + -7y = -11  

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '7y' to each side of the equation.

X + -7y + 7y = -11 + 7y

Combine like terms: -7y + 7y = 0

X = -11 + 7y

Simplifying

X = -11 + 7y

------------------------------------------------------------------------------------------------------------

Solving

5x + 2y = -18

Solving for variable 'x'.

Add '-2y' to each side of the equation.

5x + 2y + -2y = -18 + -2y

Combine like terms: 2y + -2y = 0

5x = -18 + -2y

Divide each side by '5'.

x = -3.6 + -0.4y

Simplifying

x = -3.6 + -0.4y

The cost of dinner for Lorenzo and his 3 friends was $45.96.

Part A. How much did each person pay if they shared the cost equally?

Part B. Write an equation to model the solution to the problem.

Enter the correct answers in the boxes.

A. $ =

B. Equation =

Answers

Answer:

The friends split the bill at 15.32$

Step-by-step explanation:

So to find how much each paid you would take the bill total and divide it by the amount of people in this case three

And for the equation it would be 45.96/3=15.32$

The equation to model the solution to the problem would be; 3x = 45.96. the friends split the bill at 15.32 dollars.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables. A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be one degree.

Given that the dinner for Lorenzo and his 3 friends costs $45.96.

To determine how much each paid would take the bill total

Therefore, we will divide it by the number of people in this case three

3x = 45.96

x = 45.96/3

x  = 15.32$

And for the equation would be; 3x = 45.96

Learn more about equations here;

https://brainly.com/question/25180086

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;-; help pleaseeeeee e e e

Answers

Answer:

B

Step-by-step explanation:

Because,

t= the amount of money

w= weeks

+ the 15 when she washed the car

i'm stuck, plsss help ASAPP!!! :))

Answers

Answer:

15 units

Step-by-step explanation:

[tex]d \: = \sqrt{(x2 - x1) ^{2} + (y2 - y1) ^{2} } [/tex]

d = 14.866

d = 15

Given the function
f(x)=-1/2(1-x)^2,
find f(-5).

Answers

Answer:

f(x)= -1/2(1-x)^2

replacing x with -5 since -5 was given as the function

f(-5)=-1/2(1-5)^2

according to bodmas we solve what is in the bracket first

f(-5)=-1/2(-4)^2

f(-5)=-1/2(16)

-1/2*16/1

-16/2=-8

what type of angle is this?

Answers

The correct answer is A which is obtuse

A local coffee house donates 2 pounds of
gourmet coffee beans to be sold at a local
fundraiser. The people running the fundraiser
decide to package and sell the coffee beans
in pound packages. How many pound
packages can they make

Answers

Answer:

They can make 2

Step-by-step explanation:

The coffee shop donated 2lbs, and if they package it in 1lb bags, 2/1=2

What’s the measure of STX?

Answers

Answer: 113

Step-by-step explanation:

47+66=x

113=x

where dose (3.5,1.75) go on a coordinate plane?

Answers

Answer: where is the picture

Step-by-step explanation:

What is the initial value in this question y=8x+6 8 or 6?

Answers

Answer:

it should be an 8

Step-by-step explanation:

The initial value in this question y = 8x+6 will be 8 .

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The equation is given as;

y = 8x+6

We can see that the equation contains two terms that are 8x and 6.

The initial value is the first number of the first term in the equation.

Here, the first term is 8x.

Hence, the initial value in this question y = 8x+6 will be 8 .

Learn more about equations here;

https://brainly.com/question/10413253

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5x – 18 > 2(4x – 15).

Answers

Answer:

x<4

Step-by-step explanation:

5x-18>2(4x-15)

5x-18> 8x-30

-18>3x-30

12>3x

4>x

x<4

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