You are standing on the corner of 4th Street and 4th Avenue in a city with a rectangular street system similar to New York’s (but without the exceptions). You want to meet your friend at 10th Street and 10th Avenue by walking only east and north (that is, walking the minimum possible distance). However, the corner of 7th Street and 7th Avenue is blocked due to construction and you cannot get through. How many ways are there to walk to meet your friend?

Answers

Answer 1

Step-by-step explanation:

To get from point (4,4) to (10,10), it is the same as ordering 6 Upward and 6 Right arrows in a straight line.

=> 12C6 = 924.

However there is a restriction that we cannot have 3 Upward and 3 Right arrows as our first 6 arrows.

=> 6C3 * 6C3 = 20 * 20 = 400

Hence there are 924 - 400 = 524 different ways.


Related Questions

A = {3,5,7,9}
B = {2, 4, 6, 8, 10)
C = {12, 14, 18, 20, 24}
D = {21, 26, 31, 36}
Given the sets above, fill-in the blank: 7 €

Answers

A is 11 b is 12 c is 28 and d is 41

9x^2+6x factorise fully

Answers

Answer:

THX FOR THE POINT NOOB

Step-by-step explanation:

6 Cassius is purchasing flower baskets to
be placed on each table at a volunteer
appreciation lunch. Store A charges $19.25
per flower basket plus a $15.00 delivery fee.
Store B charges $17.50 per flower basket
plus a $30.00 delivery fee. Which inequality
can determine x, the maximum number of
flower baskets that can be ordered for the
total cost at Store A to be less than the total
cost from Store B?
A 19.25 + 15x > 17.5 + 30x
B 19.25 + 15x< 17.5 + 30x
C 19.25x + 15 > 17.5x + 30
D 19.25x + 15 < 17.5x + 30
Lynn me

Answers

Answer:

b

Step-by-step explanation:

i took the test

Which number line best shows how to solve this? please help quickly thank you!

Answers

Answer:

Step-by-step explanation:

I attached the work and answer below, take a look!

the second one negative number .

Solve for x -6x+14<-28 AND 3x+28<=25

Answers

Answer:

-6x+14<-28

x = x > 7

3x+28<=25

x = x less than or equal to -1

Step-by-step explanation:

-6+14 . X is less than 1

A thrill at an amusement park travels 55 miles per hour.Round to the nearest hundredth,how many feet per second is this?

Answers

9514 1404 393

Answer:

  80.67 fps

Step-by-step explanation:

1 mi/h = 22/15 ft/s

Multiplying this equation by 55, we get ...

  55 mi/h = 1210/15 ft/s = 80 2/3 ft/s ≈ 80.67 ft/s

A 3 slope:3/2
B 3 slope -3/2
C -3 slope 3/2
D -3 slope -3/2

Answers

Answer:

C. y-intercept: -3

slope: 3/2

Step-by-step explanation:

✔️The line cuts across the y-axis at y = -3. Therefore the y-intercept = -3.

✔️Slope of the line using two points on the line, (0, -3) and (2, 0):

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - (-3)}{2 - 0} = \frac{3}{2} [/tex]

Slope = ³/2

Consider the figure below:
20
16
6
Determine the length of TZ.
Do not include spaces, units, or commas in your response.
Enter answer here. Do not include spaces or units.

Answers

Answer:

TZ = 24

Step-by-step explanation:

Similar Triangles

If two triangles are similar, then:

* All the corresponding side lengths are proportional by the same scale factor

* All the internal angles are congruent.

The image provided in the question has two similar triangles TYZ and TWX. We have completed the shape with a variable p =TZ, whose value will be determined by applying the first similarity condition above.

The ratio between the heights is 20:16, and the proportion between the bases is (6+p):p, thus:

[tex]\displaystyle \frac{6+p}{p}=\frac{20}{16}=\frac{5}{4}[/tex]

Cross-multiplying denominators:

4(6 + p) = 5p

24 + 4p = 5p

Solving for p:

p = 24

Then, TZ = 24

solve the question below, please.

Answers

Answer:

Adam: 52.26°

Step-by-step explanation:

Use Cosine Rule, [tex] Cos(C) = \frac{a^2 + b^2 - c^2}{2ab} [/tex], to find the angle of both players.

✔️Angle of Carlos:

Let the angle be C,

a = 50 ft

b = 40 ft

c = 24 ft

Plug in the values into the equation

[tex] Cos(C) = \frac{50^2 + 40^2 - 24^2}{2*50*40} [/tex]

[tex] Cos(C) = \frac{3,524}{4,000} [/tex]

[tex] C = Cos^{-1}(\frac{3,524}{4,000}) [/tex]

C = 28.24° (nearest hundredth)

✔️Angle of Adam:

Let the angle be C,

a = 30 ft

b = 22 ft

c = 24 ft

Plug in the values into the equation

[tex] Cos(C) = \frac{30^2 + 22^2 - 24^2}{2*30*22} [/tex]

[tex] Cos(C) = \frac{808}{1,320} [/tex]

[tex] C = Cos^{-1}(\frac{808}{1,320)} [/tex]

C = 52.26° (nearest hundredth)

5x-3=12x+11

Algebra problem, pls help

Answers

Answer:

hope this helps \(owo)\

Step-by-step explanation:

Answer:

x= -2

Step-by-step explanation:

5x-3=12x+11

5x=12x+14

-7x=14

x= -2

Find area of shaded. Exact answer of pi

Answers

Area circle = pi(6^2) = 36pi
Area right triangle = 1/2(6)(6) = 18
Area shaded = 36pi - 18

(x-8)2 – 7 = 25
Factored

Answers

Answer:

x = 8 ± 4√2

Step-by-step explanation:

(x - 8)² - 7 = 25

Add 7 to both sides.

(x - 8)² = 32

Take the square root for both sides.

x - 8 = ±√32

Add 8 to both sides.

x = 8 ±√32

Simplify √32

√32 = √16 · √2

√32 = ±4√2

x = 8 ± 4√2

I will give brainliest out to anyone who answers correctly please helpmeeee

Answers

I answered on the other one where you asked this question

Answer:

4,5,9

8,9

35

Step-by-step explanation:

hope this helps

A software company employs 450 workers. It plans to increase its workforce by 8 employees per month until it has doubled in size. Which equation can be used to determine m, the number of months it will take for the company’s workforce to double in size?

Answers

Answer:

Step-by-step explanation:

8m + 450 or 450 + 8m

Answer:

hope this helps below 0-0

Step-by-step explanation:

Please help I might flunk

Answers

let x represent the price of gold
x + 1.5 week 1
x + 1.5 - 3.375 = x - 1.875 week 2
x - 1.875 + .625 = x - 1.25 week 3
x - 1.25 + 1.5 = x + .25 Week four
the price of gold went up 25 cents in four weeks total

Please help it’s due in 10 minutes
I will also venmo you $5

Answers

Answer:

[tex] \arc{PNM} = 222 [/tex]

Step-by-step explanation:

Central angle = measure of the arc it subtends

Therefore:

[tex] \arc{PN} = \arc{PM} = 138 [/tex]

A full circle = 360°

So,

[tex] \arc{PN} + \arc{PM} + \arc{NM} = 360 [/tex]

Plug in the values

[tex] 138 + 138 + \arc{NM} = 360 [/tex]

[tex] 276 + \arc{NM} = 360 [/tex]

[tex] \arc{NM} = 360 - 276 [/tex] (subtraction property of equality)

[tex] \arc{NM} = 84 [/tex]

[tex] \arc{PNM} = \arc{NM} + \arc{PN} [/tex]

Plug in the values

[tex] \arc{PNM} = 84 + 138 [/tex]

[tex] \arc{PNM} = 222 [/tex]

simple math! i'll mark you if you get it right

Answers

Answer:

5

Step-by-step explanation:

Brainly plsss

the answer is 5 hope this helps

2 divided by negative 1/5

Answers

Answer: 10

you have to find a common denominator between two and five which is 10. therefore making the number 2 into the fraction 20/10 and finding the common denominator of 1/5 makes it now 2/10. now divide 20 by 2 which gets you 10. and dividing 10 by 10 gets you. therefore making the new fraction 10/1 which is equal to 10. :)

Find The Amount Of Time
I = $60, P = $750, r = 4%

Answers

Answer:need help with what question?

Step-by-step explanation: what question?

Anyone know the answer to 2? I really need answers :(

Answers

Answer:

1

Step-by-step explanation:

16 cups of water - 4 cups of paper

4 cups of water - [tex]\frac{4}{16}[/tex] × 4 cups of paper = 1 cup of paper

Answer:

1.

Step-by-step explanation:

16/4=4 and 4/4=1. 4/1 is the unit rate of 16/4. hope that helps

A racetrack is in the shape of an ellipse, 180 ft long and 90 ft wide. What is the width 30 ft from a vertex?

Answers

Answer:

x

Step-by-step explanation:

please help i am really struggling

Answers

Answer:

greater than...

equal

Step-by-step explanation:

welcome

Total surface area of a cube is 1014cm^2. It's volume will be :
a) 2197 cm^3
b) 2297 cm^3
c) 2179 cm^3
d) 2117 cm^3

plz answer...if you answer with explanation i will surely follow you and rate 5 ​

Answers

Answer:

[tex]V=2197\ cm^3[/tex]

Step-by-step explanation:

Surface Area and Volume of a Cube

Given a cube of side length a, the surface area is:

[tex]A = 6a^2[/tex]

The volume is calculated as:

[tex]V=a^3[/tex]

It's given the surface area of a cube:

[tex]A=1014\ cm^2[/tex]

We can find the side length a by solving for a:

[tex]\displaystyle a=\sqrt{\frac{A}{6}}[/tex]

[tex]\displaystyle a=\sqrt{\frac{1014}{6}}[/tex]

[tex]\displaystyle a=\sqrt{169}[/tex]

a = 13 cm

Now compute the volume:

[tex]V=13^3[/tex]

[tex]\boxed{V=2197\ cm^3}[/tex]

Answer: a) 2197 cm^3

-4 (4x + 12)= -2(8x+24)​

Answers

Answer
0=0
This means this is equal with all input numbers

Simplify the expression: 12x+3x+4x

Answers

Answer:

19x

Step-by-step explanation:

12+3+4=19

19x

Answer:

12x+3x+4x=19x

Step-by-step explanation:

there are 12 ribbons all of them equal 3 feet how long is each ribbon?

Answers

Answer:

i think

12 x 3 = 36 feet long

Answer:

36 feet and maybe check me out on sou-ndcloud and spo-tify and rate a sound I made "Jealousy is a bltch I hate her" might wanna turn down ur headphones and audio in general

Step-by-step explanation:

The area of the square is
3x2 - 7x + 12. The area of the
triangle is x2 - 8x + 18. Find the
area of the shaded region.

Answers

Answer:

Area = 2x² + x - 6

Step-by-step explanation:

The area of the shaded region is the square area minus the triangle area:

[tex](3 {x}^{2} - 7x + 12) - ( {x}^{2} - 8x + 18) \\ {3x}^{2} - 7x + 12 - {x}^{2} + 8x - 18 \\ {2x}^{2} + x - 6[/tex]

Find the missing endpoint if the midpoint is at (2,-5) and one endpoint is at (12,-5).
O (2,-5)
O(-8,-5)
O(10-8)
O (12,-5)

Answers

Answer:

The answer is (-8,-5)

Step-by-step explanation:

Since the midpoint is (2, -5), the 2 endpoints should be equidistant from each other. Since  the endpoint that is given (12, -5), is 10 points to the right of the midpoint, the second midpoint should be 10 points to the left of it. 2-10=-8

Therefore, the other midpoint is (-8,-5)

Consider the figure below.

part a- Determine sin(g)

part b- Determine tan(z)

part c- Determine cos(z)

part d- Determine sin(M)

Answers

Answer:

A) 77/427

B) 77/420

C) 420/427

Step-by-step explanation:

Sin= Opposite/Hypotenuse

Opposite always make a 90° with the Adjacent. adjacent and the Hypotenuse are across each other.

Cos= Adjacent/Hypotenuse

Tan= Opposite/Adjacent

Answer:

part a: 420/427

part b: 420/77

part c: 77/427

Anyone know the answer to this help me out please

Answers

Answer:

C.

Step-by-step explanation:

< is less than the one with the line is less than equal to

Answer:

D

Step-by-step explanation:

Since there's a circle on -3 then it's not considered on the graph and a dot on 4 so it's considered.

[tex] - 3 < x \leqslant 4[/tex]

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