Your travel guide contains a grid map of London, with each unit on the grid representing 0.5 kilometers. If Buckingham Palace is located at (−2,2) and St. Paul's Cathedral is located at (−2,−3), what is the direct distance (not walking distance, which would have to account for bridges and roadways) between the two landmarks in kilometers? Round your answer to two decimal places, if necessary.

Answers

Answer 1

Answer:

5.00

Step-by-step explanation:

Answer 2

The direct distance between Buckingham Palace and St. Paul's Cathedral is 5 kilometers.

Given the coordinates of Buckingham Palace as (-2, 2) and St. Paul's Cathedral as (-2, -3).

To find the direct distance between two points on a grid, we can use the distance formula, which is derived from the Pythagorean theorem. The distance formula in a 2-dimensional Cartesian plane is:

Distance = √((x₂ - x₁)² + (y₂ - y₁)²)

We can calculate the distance between them as follows:

x₁ = -2, y₁ = 2 (Coordinates of Buckingham Palace)

x₂ = -2, y₂ = -3 (Coordinates of St. Paul's Cathedral)

Distance = √((-2 - (-2))² + (-3 - 2)²)

= √(0² + (-5)²)

= √(0 + 25)

= √25

= 5 kilometers

So, the distance is 5 kilometers.

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Related Questions

8x − 7y = –5
–x + 4y = –15

Answers

Answer:

Answer is invalid. You cannot solve it.

Step-by-step explanation:

Answer:

y=4.8 X=34.2

Step-by-step explanation:

How many tenths are there in ⅘

Answers

Answer:

8

Step-by-step explanation:

4/5 = ?/10

4/5 * (2/2) = ?/10

8/10 = ?/10

Answer:

8

Step-by-step explanation:

multiply the denominator and numerator, you get 8/10

PLZZZ HELP!!!!!!!!!!!!!!!!!!!!!!
Harrison and Sherrie are making decisions about their bank accounts. Harrison wants to deposit $200 as a principal amount, with an interest of 2% compounded quarterly. Sherrie wants to deposit $200 as the principal amount, with an interest of 4% compounded monthly. Explain which method results in more money after 2 years. Show all work.

Answers

Answer:

HarrisonPrincipal P = 200Interest rate r = 2% = 0.02Number of compounds n = 4Time t = 2

Total amount:

[tex]A = P(1+r/n)^{nt}=200*(1+0.02/4)^{4*2} = 208.14[/tex]SherriePrincipal P = 200Interest rate r = 4% = 0.04Number of compounds n = 12Time t = 2

Total amount:

[tex]A = P(1+r/n)^{nt}=200*(1+0.04/12)^{12*2} = 216.63[/tex]

As we see the second method is a better choice

Answer:

SHERRIE

- Princible P= 200

- Interest rate R= 4% or 0.04

-  Number of compounds N= 12

- Time T= 2

HARRISON 

- Princible P= 200

- Interest rate R= 2% or 0.02

- Number of compounds N= 4

-  Time T= 2

Formula: A= P(1+r/n)^nt

Now plug in values for each person: 

200(1+0.02/4)^4*2= 208.14

200(1+0.04/12)^12*2= 216.63

And as you can see, the second method (Sherrie's) is the best choice.

Step-by-step explanation:

please help me with this sum​

Answers

Answer:

2880

1950

3960

2240

920

5220

4320

3760

6650

1080

32980 is the sum of all combined

Please allow me to know if this helped you by clicking thank you, rating or brainly!

Miss Hawaii

Answer:

1. 2880

2. 1950

3. 3960

4. 2240

5. 920

6. 5220

7. 5760

8. 3760

9. 6650

10. 1080

The claim is that weights (grams) of quarters made after 1964 have a mean equal to 5.670 g as required by mint specifications. The sample size is n = 39 and the test
statistic is t= -3.276. Use technology to find the P-value. Based on the result what is the final conclusion? Use a significance level of 0.01.
State the null and alternative hypotheses
Hop
H.
(Type integers or decimals. Do not round)

Answers

Testing the hypothesis, we have that:

The null hypothesis is [tex]H_0: \mu = 5.67[/tex]The alternative hypothesis is: [tex]H_1: \mu \neq 5.67[/tex]The p-value of the test is of 0.002252.The p-value is 0.002252 < 0.01, which means that the final conclusion is that the mean weight of quarts made after 1960 is different than 5.67g.

At the null hypothesis, we test if the mean is of 5.670g, that is:

[tex]H_0: \mu = 5.67[/tex]

At the alternative hypothesis, we test if the mean is different of 5.670g, that is:

[tex]H_1: \mu \neq 5.67[/tex]

The test statistic is t = -3.276, with the number of degrees of freedom given by:

[tex]df = n - 1 = 39 - 1 = 38[/tex]

The p-value is found using a t-distribution calculator, using a two-tailed test(as the alternative hypothesis is that the mean is different from the value), with t = -3.276 and 38 df. This p-value is of 0.002252.

The p-value is 0.002252 < 0.01, which means that the final conclusion is that the mean weight of quarts made after 1960 is different than 5.67g.

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Players
Amount
Paid

The table above represents the number of people in a group who played laser tag and the group's total cost to play. Which of the
following represents the rate of change relative to this situation?

Answers

Answer:

C. 4.00 per person

Step-by-step explanation:

I say its 4.00 per person because in each row you mutiply the players and 4.00 you get the other side of the row. Ex 11 players multiplied by 4 dollars per person equals 44.00 dollars in total which the graph shows.

hi please help me here thank you very much.

ill give brainliest if able to.

Answers

Answer:

-1= -1/1

1 to 1 = 1/1

2:3 = 2/3

3 to 2 = 3/2

-2 = -2/1

Step-by-step explanation:

Which number has the greatest absolute value?



A. −7.5


B. −12


C. 5


D. 3/4

Answers

Answer:

B

Step-by-step explanation:

Help me with this math question. Please no links.

Answers

I cant read it, the picture is blurry

Evaluate the expression.
{[(20 – 32) = (-6)}? – 11} = (–7)
What is the value of the expression?
Enter your answer in the box.

Answers

{ [(20-32)÷(-6)]²-11 }÷(-7)= { [-12÷(-6)]²-11}÷(-7)= { [2]²-11}÷(-7)= { 4-11}÷(-7)= -7÷(-7)= 1

please mark this answer as brainlist

The value of the numerical expression {[(20 – 32) ÷ (–6)]² – 11} ÷ (–7) will be 1.

What is the value of the expression?

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

The expression is given below.

⇒ {[(20 – 32) ÷ (–6)]² – 11} ÷ (–7)

Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction are all part of the PEMDAS formula. To answer the problem properly and accurately, this rule must be followed.

⇒ {[(20 – 32) ÷ (–6)]² – 11} ÷ (–7)

⇒ {[(–12) ÷ (–6)]² – 11} ÷ (–7)

⇒ {[2]² – 11} ÷ (–7)

⇒ {4 – 11} ÷ (–7)

⇒ (– 7) ÷ (–7)

⇒ 1

The value of the numerical expression {[(20 – 32) ÷ (–6)]² – 11} ÷ (–7) will be 1.

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10. The graph of linear equations in two variables is a
A. Straight line
B. curve line
D. half line
C. broken line​

Answers

I believe it would be a straight line!

Write four hundred thirty-five thousand, two hundred two in standard form.

Answers

Answer:

four hundred thirty-five thousand : 435,000

two hundred two : 202

You are playing a card game. If you pull an Ace you win $26, if you pull the King of hearts you win $204, if you pull a jack or a queen you win $13, all other pulls you lose. What price should you be charged to make this a fair game?
$5
$7
$6
$8​

Answers

Using the expected value, it is found that a price of $6 should be charged to make it a fair game.

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

The game is fair if the expected value is 0.The expected value is given by each outcome multiplied by it's probability.A probability is the number of desired outcomes divided by the number of total outcomes.

In a standard deck, there are 52 cards.

The cost of x.

There are 4 Aces in a standard deck, thus [tex]\frac{4}{52}[/tex] probability of earning 26 - x.

There is 1 King of Hearts in a standard deck, thus [tex]\frac{1}{52}[/tex] probability of earning 204 - x.

There are 4 Jacks and 4 Queens in a standard deck, thus [tex]\frac{8}{52}[/tex] probability of winning 13 - x.

The other 39 cards you lose, thus [tex]\frac{39}{52}[/tex] probability of losing x.

Considering we want the expected value to be 0.

[tex]\frac{4}{52}(26 - x) + \frac{1}{52}(204 - x) + \frac{8}{52}(13 - x) - \frac{39}{52}x = 0[/tex]

[tex]\frac{4(26 - x) + 204 - x + 8(13 - x) - 39x}{52} = 0[/tex]

[tex]104 - 4x + 204 - x + 104 - 8x - 39x = 0[/tex]

[tex]52x = 312[/tex]

[tex]x = \frac{312}{52}[/tex]

[tex]x = 6[/tex]

$6 should be charged.

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hey can anyone help and explain this to me ​

Answers

hjdjenenenwnwnwmemkwksksjsj

What is the sum of the 10th square number and the 2nd square number?

Answers

Answer:

104

Step-by-step explanation:

10th square number is 100, 2nd square number is 4. 100+4=104

A satellite flies 87100 miles in 16.75 hours, How long would it take to fly 104520
miles?

Answers

Answer:

22.41

Step-by-step explanation:

Set up a proportion where x is the time to fly 174798 miles

Cross multiply and solve for x:

118404x = 2653433.64

x = 22.41

So, it would take 22.41 hours to fly 174798 miles

Question 10 of 10
Simplify 43.45
A. 168
B. 16.15
C. 48
O O
D. 415
SUBMIT

Answers

Answer:

C

Step-by-step explanation:

4^3 x 4^5 =4^8

You add the exponents together because they have the same base and it's multiplication sum.

Which is 3,200 divided by 40?

A.
6

B.
8

C.
60

D.
80

Answers

Answer:

80

Step-by-step explanation:

40 x 80 = 3200

The solution of the expression is, 80

We have to give that,

3200 divided by 40.

Now, Divide the numbers as,

⇒ 3200 ÷ 40

⇒ 3200 / 40

⇒ 320/4

⇒ 80

So, The solution after dividing is, 80

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Identify the parent function.
O A. Reciprocal
OB. Square root
O C. Absolute value
O D. Cube root

Answers

Answer:

The answer is reciprocal

Answer:

Absolute value

Step-by-step explanation:

Parent function: y = |x|

I NEED HELP ASAP!!! (NO LINKS)
FULL EXPLANATION WILL GET BRAINLIEST!!!

#33

Answers

Answer:

35

Step-by-step explanation:

Using the definition of n[tex]C_{r}[/tex]

with n = 7 and r = 3

7[tex]C_{3}[/tex]

= [tex]\frac{7!}{(7-3)!3!}[/tex]

= [tex]\frac{7!}{4!(3!)}[/tex]

= [tex]\frac{7(6)(5)(4)(3)(2)(1)}{4(3)(2)(1)3(2)(1)\\}[/tex] ← cancel 4(3)(2)(1) on numerator/denominator

= [tex]\frac{7(6))(5)}{3)2)(1)}[/tex]

= [tex]\frac{210}{6}[/tex]

= 35

Plz can anyone slove 3 & 4 questions plzz ​

Answers

Answer:

For question 3 its definitely 5^15 and I searched 4 so I thinks its 71 or 161? sorry I don't know angles but 3 is correct

Answer:

[tex] {5}^{4 + 8 + 3} = {5}^{15} \\ \\ 90 - 19 = 71[/tex]

You need $3,000 to buy a new stereo for your car. If you have $1,200 to invest at
6% compounded annually, how long will you have to wait to buy the stereo?

Answers

Answer:

15 years and 8 months

Step-by-step explanation:

I used the formula for compound interest as shown below and solved for the unknown, time.

Since our interest is compounded annually (So once a year) our m value is 1.

A tennis player hits a ball hard and 0.4 s later hears the echo sound from a wall. The speed of sound in air is 330 ms. How
?far away is the player from the wall

Answers

The distance traveled by the echo is used to determine the player's distance from the wall

The player's distance from the wall is 66 m.

Reason:

Known parameter;

The time after which the tennis player hears the echo of the ball, t = 0.4 s

The speed of sound in air, v = 330 m/s

The distance of the player from the wall = Required

Solution:

Let d, represent the distance of the player from the wall

An echo is the reflection the wave of the sound of hitting the ball that

travels to the wall and back

The distance traveled by the sound to the wall, d, and back, (d again), is 2·d

[tex]Speed = \dfrac{Distance}{Time}[/tex]

Therefore;

[tex]The \ speed \ of \ the \ sound,\ v = \dfrac{2 \cdot d}{t}[/tex]

Therefore;

[tex]330 = \dfrac{2 \cdot d}{0.4}[/tex]

330 × 0.4 = 2·d

[tex]d = \dfrac{330 \times 0.4}{2} = 66[/tex]

The distance of the player from the wall, d = 66 m

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Can someone help me pls.....

Answers

Answer:

the first one is equivalent and the second one is not equivalent

Step-by-step explanation:

In the first one do the distributive property first by distributing the the -2.

[tex]3x - 4.6x - 5 = 1.6x - 5[/tex]

collect like terms on the left side

[tex] - 1.6x - 5 = - 1.6x - 5[/tex]

they are equivalent.

The second equation do the distributive property first by multiplying by -3.

[tex]5 + 4.8x + 6.3 = 4.8x - 1.3[/tex]

collect like terms on the left.

[tex]4.8x + 11.3 = 4.8x - 1.3[/tex]

not equivalent

translate the 3 triangles below 4 units right and 3 units down

Answers

Answer:

If we translated the triangle 4 units right and 3 units down, then our new points would be J' (3,0)  K' (3,-2)  L' (0,-2).  Hope this helped ..

Step-by-step explanation:

Evaluate the expression: 5 + 3 × (5 - 2x2)

32
72
36
16

Answers

Answer:

5+3*(5-2*2)

5+3*(5-4)

5+3*1

5+3

=8

Step-by-step explanation: i think

Help me please!!!!!!!!

Answers

Answer:

10 is answer if your question.

Step-by-step explanation:

mark me as a brainlist plz.

i don’t understand this i’m confused.

Answers

1/256 would most likely be the answer

A pipe is leaking at 1.5 cups per day. About how many gallons per week is the pipe leaking? (Hint: 1 gallon=16 cups)

Answers

Answer:

21/32 gal

Step-by-step explanation:

1 gallon equals 16 cups, so we first need to convert the rate from cups to gallons

1.5cup/1 x 1/16 gal

can be simplified to 3/32 gal

so we now multiply this rate by 7 for a week

so in total it leaks

3/32 x 7/1 = 21/32

find the value of y. 7y + y - 2y =18​

Answers

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

y=3

Step-by-step explanation:

if you are to put this on a graph the would be Linear

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