You and your friend are trying to meet up at the park. You are currently 256 m directly west from the centre of the park. Your friend is currently 388 m directly north from the centre of the park. What is the distance between you and your friend?

Answers

Answer 1

Answer:

The distance between the two is 465 meters

Step-by-step explanation:

We first need to set up a triangle that shows the relative position and distances of the two friends

Please check attachment for this

To get this distance, which represents the hypotenuse of the triangle, we make use of Pythagoras’ theorem

Mathematically;

Pythagoras’ theorem states that the square of the hypotenuse equals the sum of the squares of the two other sides

Thus;

D^2 = 256^2 + 388^2

D^2 = 216,080

D = √216,080

D = 464.84 which is approximately 465 m

You And Your Friend Are Trying To Meet Up At The Park. You Are Currently 256 M Directly West From The

Related Questions

What is the different between the expression (-2)3 and -23

Answers

Answer:

-23 is a set number (-2)3 is an equation

Step-by-step explanation:

The difference between (-2)3 and -23 are very simple. -23 is the product of another expression while (-2)3 can be simplified to -6 when multiplied.

Which angle relationships are correct? Check all that
apply.
21 and 28 are alternate exterior angles.
24 and 26 are same side interior angles.
25 and 27 are vexical angles.
22 and 28 are corresponding angles.
23 and 26 are alternate interior angles.

Answers

Answer:

<1 and <8 are alternate exterior angles

<4 and <6 and same said interior angles

<3 and <6 are alternate interior angles

Step-by-step explanation:

The correct options are 1) ∠ 1 and ∠ 8 are alternate exterior angles, 2) ∠ 4 and ∠ 6 are same side interior angles, 4) ∠ 2 and ∠ 8 are corresponding angles and 5) ∠ 3 and ∠ 6 are alternate interior angles, this is true.

What is angle relationship?

The amount of space between two straight lines that have a common end point is called angle. Two angles can be related if certain conditions are met.

Given that, lines m and n are intersected by a transversal l, making angles 1, 2, 3, 4, 5, 6, 7 and 8

∠ 1 and ∠ 8 are alternate exterior angles, this is true.

∠ 4 and ∠ 6 are same side interior angles, this is true.

∠ 5 and ∠ 7 are vertical angles, no this is not true because these are making a linear pair angles.

∠ 2 and ∠ 8 are corresponding angles, this is true.

∠ 3 and ∠ 6 are alternate interior angles, this is true.

Hence, the correct options are 1, 2, 4, and 5

Learn more about angle relationships, click;

https://brainly.com/question/29764647

#SPJ2

The average American eats 16 pounds of turkey each year. Using the average, how much turkey will be eaten this year by the entire town of Turkey, TX (population 410)?

Answers

Answer:

6560lbs

Step-by-step explanation:

Write a justification for each step...

Answers

1. Expand the bracket
2. Subtract 4x
3. Add 3
4. Value of x is shown

5. Substitute values in
6. Expand the bracket
7. Group values
8. Subtract 3n
9. Divide by 2
10. Value of n is shown

Help I need this answer?

Answers

Answer:

A,C,E

Step-by-step explanation:

PLEASE HELP NEED ANSWER NOW!!!!!!
Put the following equation of a line into slope-intercept form, simplifying all fraction. 5x-y=(-4)

Answers

Slope intercept form is y = mx + b
You would have to reorder.
For this you need to isolate y.
First subtract 5x from both sides.
This would result in: -y = -4 - 5x
Then multiply both sides by negative one to make the y positive.
This would result in: y = 5x + 4
Hope I helped:)

What is the nth term rule of the linear sequence
6,13,20,27,34?

Answers

Answer:

62

Step-by-step explanation:

270 qt: 105 gal
Simplified

Answers

Answer:

wouldn't it be 18/7

Step-by-step explanation:

270 ÷ 15 over 105 ÷ 15

How can we get Equation B from Equation A?

3(x+2)=18
x+2=18

i need them solved aswell

Answers

Answer:

x = 4

Step-by-step explanation:

A:3(x+2)=18

Divide each side by 3

3/3(x+2)=18/3

x+2 = 6

This is the same equation as equation B

They will have the same solution since they are the same equation

x+2-2 = 6-2

x = 4

(not my answer)


[tex] {2}^{m} = n [/tex]
solve
[tex] {8}^{m} - {4}^{ - m} [/tex]

Answers

Answer:

[tex]\displaystyle n^3-\frac{1}{n^{2}}[/tex]

Step-by-step explanation:

Exponents Properties

We need to recall the following properties of exponents:

[tex](a^x)^y=(a^y)^x=a^{xy}[/tex]

[tex]\displaystyle a^{-x}=\frac{1}{a^x}[/tex]

We are given the expression:

[tex]2^m=n[/tex]

We need to express the following expression in terms of n.

[tex]8^m-4^{-m}[/tex]

It's necessary to modify the expression to use the given equivalence.

Recall [tex]8=2^3 \text{ and }4 = 2^2[/tex]. Thus:

[tex](2^3)^m-(2^2)^{-m}[/tex]

Applying the property:

[tex](2^m)^3-(2^m)^{-2}[/tex]

Substituting the given expression:

[tex]n^3-n^{-2}[/tex]

Or, equivalently:

[tex]\mathbf{\displaystyle 8^m-4^{-m}= n^3-\frac{1}{n^{2}}}[/tex]

ABC is reflected over the x-axis what will be the coordinates of c (-3, - 1)
(-1,-3) (1-3) (3,1)

Answers

Answer:

(-3,1)

Step-by-step explanation:

(x,y)---->(x,-y)

(-3,-1)--->(-3,1)

I have 5 digits. My q is worth q * 10,000. My 2 is worth 2 thousand. One of my 7s is worth 70. The other is worth 10 times as much. My other digit is a 6. What number am l

Answers

Answer:

92,776

Step-by-step explanation:

I have 5 digits. My 9 is worth 9*10,000. My 2 is worth 2 thousand. One of my 7s is worth 70. The other is worth 10 times as much. My other digit is a 6. What number am I?

My 9 is worth 9*10,000 = 9 * 10,000

= 90,000

My 2 is worth 2 thousand = 2,000

One of my 7s is worth 70 = 70

The other is worth 10 times as much = 70 * 10

= 700

My other digit is a 6 = 6

The number is

90,000 + 2,000 + 700 + 70 + 6

= 92,776

A store manager is looking at past jewelry sales to determine what sizes of rings to keep in stock. The list shows the ring sizes purchased by the last ten jewelry customers.

9, 7, 6.5, 7.5, 7, 8, 5, 6, 7.5, 8
What is the variance of the data set? Round to the nearest hundredths.

0.40
0.72
1.15
2.14

Answers

Answer: 1.15

Step-by-step explanation:

Answer:

1.15 is the answer

Step-by-step explanation:

Mr. Hernandez bought 16 meters of chain-link fencing. The section of his yard that needs to be fenced is 50 feet long. Did Mr. Hernandez buy enough fencing or does he need more fencing? (1 meter = 3.28 feet)

Answers

Answer:

yes

Step-by-step explanation:

i multiply the 16 to the ratio of meters to feet and got 52.4934

yes he bought enough.

One number is 2 times another. The sum of their reciprocals is 6. Find the numbers.
The numbers are

Answers

Answer:

1/2, 1/4

Step-by-step explanation:

Let the numbers be x and y.

Given, x=2y

1/x + 1/y = 6

plug in x=2y ,

1/2y+1/y = 6

Taking common denominator ,

(1+2)/2y = 6

2y = 3/6 = 1/2 => y=1/4

x = 2y = 2* 1/4 = 1/2

So, the numbers are 1/2 and 1/4

if you could help me with this i would be very thankful

Answers

Answer:

Δ QRS is an obtuse triangle ⇒ according to its angle

Δ QRS is an isosceles triangle ⇒ according to its sides

Step-by-step explanation:

In Δ QRS

∵ m∠Q = 8x - 17

∵ m∠R = 19x + 4

∵ m∠S = 5x + 1

→ The sum of the interior angles of a Δ is 180°

m∠Q + m∠R + m∠S = 180°

→ Substitute their values in the equation above

8x - 17 + 19x + 4 + 5x + 1 = 180

→ Add the like terms

∴ (8x + 19x + 5x) + (-17 + 4 + 1) = 180

∴ 32x + (-12) = 180

∴ 32x - 12 = 180

→ Add 12 to both sides

∵ 32x - 12 + 12 = 180 + 12

∴ 32x = 192

→ Divide both sides by 32

∵ [tex]\frac{32x}{32}[/tex] = [tex]\frac{192}{32}[/tex]

x = 6

→ Substitute the value of x in each measure of angles to find them

∵ m∠Q = 8(6) - 17 = 48 - 17

∴  m∠Q = 31°

∵ m∠R = 19(6) + 4 = 114 + 4

∴  m∠R = 118°

∵ m∠S = 5(6) + 1 = 30 + 1

∴  m∠S = 31°

m∠R > 90°

∴ ∠R is an obtuse angle

Δ QRS is an obtuse triangle

m∠Q = m∠S

→ In any Δ if two angles are equal in measures, then the two sides

  opposite to these angles are equal in length and the Δ is isosceles

RQ = RS

Δ QRS is an isosceles triangle

What is the value of 2x3 + 4x2 - 3x2 - 6x when x = 3?

Answers

Answer:

-10

Step-by-step explanation:

If the equation is 2 x 3+4 x 2-3 x 2- 6(x)=  .  Than the equation would turn into  2 x 3+4 x 2-3 x 2- 6(3) which equals -10.

(9,-8) and (9,6) and determine the equation of the line.

Answers

Answer:

The answer is undefined.

Step-by-step explanation:

The x will never change, no matter what the y is, so the answer will always be undefined.

A train leaves New York traveling at a speed of 90 km/hr. How much distance will it cover in five hours?

Answers

Answer:

450 Km

Step-by-step explanation:

90 Km/hr x 5 hr = 450 Km

I hope this helped and good luck!

Answer: Distance= 450km

Step-by-step explanation:

90 times 5= 450

SOMEONE PLEASE HELP DUE IN 3 MINS

is this right? ​

Answers

Answer:

YES you are right

Step-by-step explanation:11 squared equals 121

It’s 1 and 2. 11x11= 121. And -11x-11=121

HELP ME ASAP PLEASE?!?
Classify the following triangle as acute, obtuse, or right.

Answers

Answer:

obtuse

Step-by-step explanation:

hope it helps. :)

geometry unit 3 look at the picture for the question

Answers

Answer:

C= 66°

B= 74°

A= 35°

Step-by-step explanation:

sorry I don't have much time to explain- but I hope this answer helps

Solve the equation
5(4+t) = 5t + 20

Answers

the answer is T=0 or 0
=
0

Answer:

it is infinite solutions

Step-by-step explanation:

because 20+5t=20+5t even if you put any number as the variable

HELPPP!!!

help me for a brainliest!

Answers

=5^6/5^4

=5^(6-4)

=5^2 ANSWER..

help
please
-8а - 5 = 3 - 6а

Answers

Answer:

-8a-5=3-6a

-8a+6a=3+5

-2a=8

a=8/-2

therefore,a=-4 answer...

Answer:

a = 4

Step-by-step explanation:

Firstly, make all subtraction signs, addition signs which should look like this

-8a + -5 = 3 + -6a

Add 5 to both, -5 and 3.

-8a = 8 + -6a

Add 8a to both -8a and -6a

2a = 8

Divide both by 2

a = 4

If I get it right i will give brainlist

Answers

Answer:

a

Step-by-step explanation:

4x+9y= -108

4(0)=9y= -108

9y= -108

-108/9

y- intercept= -12

Which equation is represented by the graph below?

Answers

Answer:

y=-1/2x+2

the y-intercept is at 2 and the slope is -1/2

meaning the y coordinates with move down 1 while the x coordinates will move 2 in a positive (right) direction

which ordered pair is a solution of the equation

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D none of them work :)

Solve for x plz.I need

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Answer:

Step-by-step explanation:

xc = ab

x = ab/c

Answer:

x=ab/c

Step-by-step explanation:

x/a=b/c

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Answers

Answer:1

Step-by-step explanation:it’s one decimal

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