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

The probability distribution for a
random variable x is given in the table.
-5
3
-2
0
2
3
Probability
117
.13
.33
-16
11
-10
Find the probability that x<-3

Answers

Answer:

[tex]P(x \le -3) =0.30[/tex]

Step-by-step explanation:

Given

The attached probability distribution of x

Required

Find [tex]P(x \le -3)[/tex]

To do this, we consider all values of x less than or equal to-3.

So, we have:

[tex]P(x \le -3) =P(x=-5) + P(x = -3)[/tex]

From the table:

[tex]P(x=-5) = 0.17[/tex]

[tex]P(x = -3) = 0.13[/tex]

So, the equation becomes

[tex]P(x \le -3) =P(x=-5) + P(x = -3)[/tex]

[tex]P(x \le -3) =0.17 + 0.13[/tex]

[tex]P(x \le -3) =0.30[/tex]

help with math please giving lots of points!

Answers

Answer:

9)

1 2/3 ÷ 2 1/4 = 5/3 x 4/9 = 20/27

10)

3 3/5 ÷ 1 3/4 = 18/5 x 4/7 = 72/35

I know...another one

Answers

I'm so confused what do you need help with?

What is the measure of RST? S O A. 158° 07 O B. 790 G. 689 R D. 2020 158°​

Answers

The measurement would be 790 because
the angles is

Find the missing lengths

Answers

Answer:

x = 13 cm

Step-by-step explanation:

The figure given is a square.

Area of the given square (A) = 169 cm²

Formula for area of a square is:

A = s²

Where,

s = x

Thus:

169 = x²

Take the square root of both sides

√169 = √x²

13 = x

x = 13 cm


The paperweight shown below is in the shape of a square pyramid.

What is the volume of this paperweight?

Answers

Answer:45

Step-by-step explanation:

V=a2h

3=62·3.75

3=45

Seamus draws a triangle with angles of measures 40°, 60°, and 80°. Edwina draws a triangle with these same three angle measures. Which statement must be true?
A Edwina's triangle is the same size as Seamus's triangle.
B Edwina's triangle is the same shape as Seamus's triangle.
C The perimeter of Seamus's triangle is greater than the perimeter of Edwina's triangle.
D The area of Edwina's triangle is less than the area of Seamus's triangle.​

Answers

Answer:

It may be D or A hopeit helps

Step-by-step explanation:

As the teams fundraiser,Agnes and Betty both sold candy bars at the end of the fundraiser Agnes determined that she sold 8 more candy bars than Betty sold if Agnes and Betty sold a total of 348 candy bars how many did Betty sell the

Answers

Answer:

356

Step-by-step explanation:

The algebraic expression for the sum of 5 and g?

Answers

Answer:

5 + g

Step-by-step explanation:

The sum of 5 and g,

5 + g

A rectangle has a length of 17 less than 6 times it's width. If the area of the rectangle is 7585 square feet find the length of the rectangle​

Answers

9514 1404 393

Answer:

  205 ft

Step-by-step explanation:

Let w represent the width of the rectangle. Then the length is (6w-17) and the area is ...

  A = LW

  7585 = (6w-17)(w)

  6w² -17w -7585 = 0

Perhaps most straightforward is using the quadratic formula to solve this.

For ax² +bx +c = 0, the solution is x = (-b±√(b²-4ac))/(2a). For the above quadratic, the solution is ...

  [tex]x=\dfrac{-(-17)\pm\sqrt{(-17)^2-4\cdot6\cdot(-7585)}}{2\cdot6}=\dfrac{17\pm\sqrt{182329}}{12}\\\\x=\dfrac{17\pm427}{12}=\{-34\frac{1}{6},37\}[/tex]

The width is 37 feet, so the length is ...

  6(37) -17 = 205 . . . feet

The length of the rectangle is 205 feet.

PLEASE !!! HELP QUICKLY !!!


Some credit cards offer a low introductory APR for a set period of time. After the introductory period is over, the APR is increased to a new rate. According to the sample credit card disclosure agreement, after a period of ,_______ the APR will increase to ______.

Blank 1 options (one month, six months, one year)
Blank 2 options (8.99%, 10.99%, 12.99%, 14.99%, 28.99%)

Answers

Answer:

1 Year & 14.99%

Step-by-step explanation:

GIVING OUT BRAINLIEST ANSWER !! HELP ME OUT PLEASEEEEE

Answers

Answer:

5.66

Step-by-step explanation:

This is a 45 – 45 – 90 triangle. What this means is that the two legs are both congruent and the hypotenuse is the length of the legs times [tex]\sqrt{2}[/tex].

So in order to find this, we have to divide 8 by the square root of 2.

Putting this in to a calculator, we get 5.6568542. When rounded to the nearest hundredth, it is 5.66, which is the first answer.

10,045 rounded to the tens place

Answers

Answer:

10045 rounded to nearest tens is10050

In circle Z, BZ = FZ, BZ 1 CA, FZ 1 DC DF = 18 in.
What is BC?

Answers

Answer:

18 in.

Step-by-step explanation:

I just took the quiz

Answer:

The dimenssion of BC is - 18in.

Step-by-step explanation:

Definition of circle:

The set of all points in the plane that are a fixed distance (the radius) from a fixed point is called a circle . A radius is the distance between any two points on a circle and the center. Any two radii have the same length according to the definition of a circle.

Step 1:

in Δ[tex]ZFC[/tex] and Δ[tex]ZFD[/tex]

[tex]ZD = ZC[/tex] ( Radius of the circle will be same )

[tex]ZF= ZF[/tex] (Common side in both triangle)

[tex]$\angle Z F C=L I P D=90^{\circ}[\because F Z \perp D C][/tex]

So from Side Angle Side theorem,

[tex]$\triangle Z F C \cong \triangle Z f D$[/tex]

So, [tex]$F C=F D=18 in.[/tex]

Step 2:

[tex]$\triangle B C Z$[/tex] and [tex]$\triangle F C Z$[/tex]

[tex]$B Z=F Z \quad$[/tex] (Given)

[tex]CZ = CZ[/tex] (Common side in both the triangle)

[tex]$\angle Z B C=\angle Z F C=90^{\circ} \quad[\because \overline{B Z} 1 \overrightarrow{C A}$[/tex] and [tex]$$\overline{F 2} \perp \overline{D C}]$$[/tex]

So from sides side angle theorem,

Δ[tex]BCZ[/tex]≅ Δ[tex]FCZ[/tex]

So, [tex]BC = FC[/tex]

Hence [tex]BC = 18in.[/tex]

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GOD PLEASE HELP ME. i really do need help.

Answers

Answer:

step below

Step-by-step explanation:

volume of cylinder = Bh = πr²h = π*7²*15 = 735π

volume of cone =1/3 Bh =1/3 πr²h =1/3 π*7²*15 = 1/3 * 735π

Answer:

the first choice- volume of the cylinder is 735pi

and the 3rd choice the volume of the come is 1/3 pf 735pi  (245 is 1/3 of 735)

Step-by-step explanation:

Volume of the cylinder

[tex]V=\pi r^{2} h\\V=\pi 7^{2} 15\\V=49(15)\pi \\V=735\pi[/tex]

Volume of the cone

[tex]V=\pi r^{2} (\frac{h}{3} )\\V=\pi 7^{2} (\frac{15}{3})\\V=49 (5)\pi \\V=245\pi[/tex]

Is Michael correct? Will choose brainly

Answers

Yes michal is forrest

Help..........................

Answers

Answer:

-21 yd

Step-by-step explanation:

[tex]-31-2+12=-21[/tex]

Samantha walks a total of 3/4 miles to get to and from school each day write an addition expression that can be used to find the total numbers of miles that has Samantha walk to and from school over 2 days Then evaluate the expression​

Answers

I do not know the answer and I do not know why I’m answering this

Solve the equation 23+n=29 using the inverse operation.

Answers

Answer:

n=6

Step-by-step explanation:

i used math-way :P

What is the perimeter of the triangle

Answers

Answer:30 centimeters

Step-by-step explanation:

The bigger square with an area of 144 cm squared has a perimeter of 100 with each side equal to 25. You find this by seeing that 25 times 25 equals the area of the square. Same thing with the smaller square 5 times 5 equals 25. Now that we have the perimeter for the sides that are connected to the square (25) and (5), multiply those together just as you would with finding the area of a square. (25)(5)=60. Since this is a triangle you divide your answer in half which is 30.

What figure can be made using the net shown?

a triangular prism
a rectangular prism
a triangular pyramid
a rectangular pyramid

Answer:
A rectangular pyramid

Answers

Answer:

rectangular pyramid

Step-by-step explanation:

just took the test

The figure can be made using the net shown is a rectangular pyramid.

What is Difference between Pyramid and Prism?

A three-dimensional shape is a pyramid. A pyramid's flat triangular faces unite at a common point known as the apex and have a polygonal base.

A prism is a polyhedron in geometry made up of an n-sided polygon basis, a second base that is a rigidly translated copy of the first base, and n additional faces that must all be parallelograms and connect the corresponding sides of the two bases.

Pyramids and prisms are both three-dimensional solids with flat faces and bases.

Yet, a pyramid only has one base, whereas a prism has two bases that are identical.

Here, the base is rectangular then the figure shows A rectangular pyramid.

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Cory has $24 more than twice as much as Stan. Together they have $150. How much money dose each have ?

Answers

Answer:

99 and 51

Step-by-step explanation:

The problem would be shown as:
2x+24 + x = 150

x is the amount of money Stan has.

Do the math and X=42. Then Plug everything in:

The answer is Cory has $108, Stan has $42.

student will randomly select a tile from a bag containing one red one yellow one blue and one green tile and then roll a cube with faces numbered 1 through 6 what is the probability that a student draws a red or yellow towel in rolls a number between 1 and 3 enter your answer as a percentage to the nearest percent
I NEeD My BRiAnLiEsT PeRsOn​

Answers

Answer:

25%

Step-by-step explanation:

There are 4 colors, probability of red or yellow:

P(red or yellow) = 2*1/4 = 1/2

And a cube faces 1 to 3:

P(1 to 3) = 3*1/6 = 1/2

Probability of the two events above:

1/2*1/2 = 1/4 = 25%

Round 6,584,003 to the nearest 10,000

Answers

The answer is 6,580,000 :)

The answer is 6,580,000.

I hope this helped! :)

HELP!?? Please hurry due today!!!!

Answers

Answer:

348m^2

Step-by-step explanation:

A water storage tank is cone shaped. The radius of the tank is 20 feet and the height of the tank is 35 feet.

Study the figure below...
20 feet...
35 feet...

Which measurement represents the volume of the water storage tank

Answers

not sure exactly but it has something to do with 20 feet and 35 feet

which expression is equivalent to (2x ^2 +6)(x-2)

Answers

Answer:

B

Step-by-step explanation:

Answer:

D.

Step-by-step explanation: First multiply 2x^2 to x - 2 to get 2x^3 - 4x^2

and then multiply 6 to x - 2 to get 6x - 12. Then put the equation together:

2x^3 - 4x^2 + x - 2

HELPPPP!!!!! What is the value of y?
B
60
А
5
с
Enter your answer, as an exact value, in the box.
y =

Answers

Answer:

y = 8.66

Step-by-step explanation:

tan 60° = y/5

1.7321= y/5

y = 8.66

Madison is preparing rice for 10 dinner guests. Each guest
eats Ģ of a cup of rice.
How many cups of rice does Madison need?

Answers

Answer:

door Sai so Lally shall icb kiddo do you have any questions

Step-by-step explanation:

ok CV bjf

Which graph represents the parametric equations x = 3t and y = One-halft3 – 1, where –2 ≤ t ≤ 3?

Answers

Answer:

D

Step-by-step explanation:

EDG 2021

Answer:

D is the answer

Step-by-step explanation:

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