1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
diamong [38]
3 years ago
10

The library in Ben's town is 3 blocks east and 7 blocks north of his house. He finds a short cut by walking diagonally from his

house to the library. How much shorter is the shortcut than walking the blocks?
Mathematics
2 answers:
Mariana [72]3 years ago
6 0

Answer:

Step-by-step explanation:

A right angle triangle is formed.

The diagonal or shortcut that he found represents the hypotenuse of each right angle triangle. The number of blocks he used to walk due due east and north represents the adjacent and opposite sides of the right angle triangle. To determine the number of blocks he would have to walk when he takes the shortcut,d, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore

d² = 7² + 3²

d² = 49 + 9 = 58

d = √58

d = 7.6 blocks

The normal distance is

3 + 7 = 10 blocks

The number of blocks by which the shortcut is shorter than walking the blocks is

10 - 7.6 = 2.4

Step2247 [10]3 years ago
3 0

Answer:

The answer to your question is 2.4 units shorter.

Step-by-step explanation:

Data

3 blocks east and 7 blocks north.

Process

1.- Calculate the distance walking the blocks

     distance = 3 + 7

     distance = 10

2.- Calculate when walking diagonally using the pythagorean theorem

     distance² =  3² + 7²

     distance² = 9 + 49

     distance² = 58

     distance = 7.62

3.- Calculate the difference of distances

     Δd = 10 - 7.62

     Δd = 2.38 units

You might be interested in
Determine what the solution is to the following system? Y=3/4x-1 & y=4/3x-1
vichka [17]

Answer:

(0, -1)

Step-by-step explanation:

There are multiple ways of solving this however- since both equations are already in Y-Intercept form, we will use the "Equal Values Method"

First, since both equations are equal to Y, we can set them equal to each other and solve for X

\frac{3 }{4} x - 1 =  \frac{4}{3} x - 1

To start, you must eliminate the fraction using a "fraction buster" multiply EVERYTHING by 4 then simplify.

3x - 4 = 5 \frac{1}{3}x  - 4

Since we still have a fraction, we shall do it one more time. This time we multiply by 3

9x - 12 = 6 x - 12

Now, solve how you normally would.

9x = 6x

-6x

3x = 0

X = 0

Now, since we know what X would equal in the solution, we are able to plug in X as 0 in one of our equations. We can choose the first one!

y =  \frac{3}{4} (0) - 1

Now solve which would lead to y = -1

You have your solution as

(X,Y)

(0,-1)

Hope this helps!

4 0
2 years ago
Which modified box plot represents the data set? 10, 12, 2, 4, 24, 2, 7, 7, 9
Ratling [72]

The fourth option is the answer. When graphed, Min is 2, Q1 is 3, Median is 7, Q3 is 11, and Max is 24. The fourth option is the one that follow all of those!

7 0
3 years ago
Read 2 more answers
a railroad track rises 30feet for every 400 feet of track. what is the measure of the angle of elevation of the track?
tensa zangetsu [6.8K]
It will be 0.075 the tracks
4 0
3 years ago
Read 2 more answers
If the hypotenuse of a right triangle is 20 cm and one of the legs is 16 cm, how long is the other leg?
siniylev [52]
Because this is a triangle and we know that we can use the Pythagorean Theorem to find the hypotenuse we just plug in the numbers. But because you have the hypotenuse already you will subtract the leg from the hypotenuse.

A^2+B^2=C^
16^2+B^2=20^2
256+B^2=400 subtract 256 from both sides
B^2=144 now take the square root of both sides
B=12

The second leg is 12 cm long. Your answer is B, the second answer.
6 0
3 years ago
What is the area of the kite below.
valentina_108 [34]

Answer:

girll how is this college math im in 8th grade and n learned this in 1st grade loll

Step-by-step explanation:

its 15 m I THINK DONT TAKE MY WORD ON IT but tytyty for the points

5 0
3 years ago
Other questions:
  • NEED HELP ASAP PLS
    13·2 answers
  • The plot line shows the number of miles the individual members in a group of runners run each day
    7·1 answer
  • Aimee and Ben are purchasing a condominium and are financing $610,000. The mortgage is a 20-year 3/1 ARM at 4.15% with a cap str
    13·1 answer
  • The following cylinder has a height of 7.2 and diameter of 6.8.
    12·2 answers
  • Find the value of x and z<br><br> 20 points lol
    10·1 answer
  • TTriangle H L I is shown. Line segment J K is drawn near point L to create triangle J L K. If △HLI ~ △JLK by the SSS similarity
    11·2 answers
  • PLEASE HELP BIG FINALS TEST
    6·1 answer
  • Someone please help me!!!!
    7·1 answer
  • Identify the cross section that results from slicing the three-dimensional figure.
    7·1 answer
  • HELP PLEASE PLEASE HELP URGENT PLEASE HELP
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!