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
myrzilka [38]
2 years ago
13

A new highway was built outside of tri town to relieve traffic on Route 1. How many miles are saved by traveling on the new high

way to get from point A to point B?
Mathematics
1 answer:
lana66690 [7]2 years ago
6 0

By applying the Pythagorean Theorem, the number of miles saved is: 4 miles.

<h3>What is the Pythagorean Theorem?</h3>

If c is the hypotenuse of a right triangle, and the lengths of the two legs are a and b respectively, the Pythagorean Theorem states that, c = √(a² + b²).

The diagram showing the new highway is attached below.

The diagram represents a right triangle. SO, apply the Pythagorean Theorem to find how long it is to travel on the new highway from point A to B.

Thus:

AB is the hypotenuse of the right triangle.

AB = √(AC² + BC²)

Plug in the values

AB = √(12² + 5²)

AB = 13 miles.

Moving from A to B without the highway = AC + BC = 12 + 5 = 17 miles.

Miles saved travelling on the new highway = 17 - 13 = 4 miles.

Therefore, by applying the Pythagorean Theorem, the number of miles saved is: 4 miles.

Learn more about Pythagorean Theorem on:

brainly.com/question/16176867

You might be interested in
Lukas is packing boxes of food for a homeless shelter. He has rice and cans that he is packing into the boxes. He packs 3 carton
fgiga [73]

Answer:

9 cans per box

Step-by-step explanation:

72/8 = 9

...

3 0
3 years ago
6. Find the product:<br> (x² + 8x - 3)(x + 1)
olga_2 [115]

Answer:

x^3+9x^2-3x^2-3

Step-by-step explanation:

You can use a various of methods but when you use the box method you multiply each separately.

Like you would multiply x² by x, 8x by x, -3 by x (thats the first row)

x² by 1, 8x by 1, -3 by 1 ( for the second row)

Then you get those final variables and combine like terms getting the answer above

8 0
3 years ago
admission to a carnival is $5 and each game at the carnival cost $0.85. you have $15 to spend on admission and games. what is th
aleksandrvk [35]
So, you have $15 in total to spend.

1. Subtract your admission fee. 15-5=10
2. Divide 10 by .85 to get the number of games you were able to play. 10 divided by .85 = 11.76
3. Now, since it says the minimum you were able to play, round to the nearest digit. 11.76=11

You were able to play a minimum of 1 game and a maximum of 11 games.
7 0
3 years ago
Can someone help me pleaseeee.
Talja [164]

The figure is given in the below diagram.

The steps of constructing a square inside a circle are as follows:

Start from the middle O of the provided circle.

Finding the center of a circle's approach can be used to create the center of the circle's center point is not known.

1. Draw a circle and label point A. This will turn into one of the square's vertices.

2. Create point C by drawing a diameter line from point A through the center and back out to the outside of the circle.

3. Set the width of the compass to a little bit more than the distance to O.

4. Sketch an arc above and under O.

5. Repeat by moving the compass to C.

6. To create the new points B and D, draw a line across the intersection of the arc pairs that is long enough to touch the circle at both the top and bottom.

This diameter is perpendicular to the first AC.

7. Draw a line connecting each pair of points A, B, C, and D.

Done. The circle is circled by the square ABCD.

Learn more about the construction here-

brainly.com/question/8606089

#SPJ10

4 0
2 years ago
Find the measure of angle ABD.
Readme [11.4K]

Answer:

x=58

Step-by-step explanation:

Exterior angle of one interior angle in a triangle is equal to the sum of the other two remote interior angles. (Ext. Angle Th.) So, 3x-32=84+x

2x=116

x=58

3 0
2 years ago
Other questions:
  • Marsia will make a frame for her picture the length of the picture is 15 inches the width is 1/3 of the length how much wood doe
    8·1 answer
  • What does y equal. -4y+6y-5=9
    9·1 answer
  • Joseph's lunch at a restaurant costs $13.00, without tax. He leaves the waiter a tip of 17%
    7·2 answers
  • calculate correct to three significant figures length of Arc with subtend an angle of 70 degrees at the centre of circle of radi
    7·1 answer
  • What’s the answer???
    12·2 answers
  • If the simple interest on $2,000 for 3 years is $300 then what is the interest rate?
    15·1 answer
  • Which statement explains why Chris will incorrectly determine the cost of taking the taxi cab to the airport.
    10·2 answers
  • How much medicine would a 125 pound patient need?
    6·1 answer
  • Can someone plsss help me with the 2 one
    9·1 answer
  • Show how to subdivide and recombine the parallelogram below to form a B by H rectangle thereby explaining why the area of the pa
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!