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myrzilka [38]
3 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]3 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

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what are a) the ratio of the perimeters and b) the ratio of the areas of the larger figure to the smaller figure? the figures ar
Alla [95]
We know that

a) find <span>the ratio of the perimeters 
</span><span>
the ratio of the perimeters is equal to the scale factor
</span>scale factor=26/6-----> 13/3
the answer Part a) is
the ratio of the perimeters is 13/3

b) find <span>the ratio of the areas of the larger figure to the smaller figure
we know that
area larger figure=[scale factor]</span>²*area smaller figure
scale factor²=area larger figure/area smaller figure

the ratio of the areas of the larger figure to the smaller figure is equal to scale factor squared
scale factor²=(13/3)²----> 169/9

the answer Part b) is
169/9

the complete answer is
13/3 and 169/9
6 0
3 years ago
How do I solve this and what’s the answer?
Varvara68 [4.7K]

Answer:

Mike can go 124 miles

Step-by-step explanation:

Car rent = $29.20

However, a customer has to pay $0.20 for every mile.

Mike has $54 to spend on the car for a day.

If he pays the car rent which is $29.20, then he has

$54 - $29.20 = $24.80 remaining

1 mile = $0.20

x miles = $24.80

By cross multiplication

0.20x = 1 * 24.80

x = 24.80/0.20

x = 124 miles

6 0
3 years ago
A meeting lasted from 11:15 am until 1:00 pm. how long was the meeting?
Evgen [1.6K]
<span>A meeting lasted from 11:15 am until 1:00 pm. how long was the meeting?
We have 1:00 pm= 13.00
13.00-11.15= 1.45
The meeting was 1 hour and 45 minutes</span>
8 0
3 years ago
The rate (in liters per minute) at which water drains from a tank is recorded at half-minute intervals. Use the average of the l
kvv77 [185]

Answer:

100.75 liters

Step-by-step explanation:

Data provided in the question:

t (min)     0     0.5      1     1.5      2      2.5      3

r (l/min)    44    40     37     34     30     27      23

Now,

left endpoint approximation

= 0.5 × ( 44 + 40 + 37 + 34 + 30 + 27 )

= 0.5 × 212

= 106

Right endpoint approximation

= 0.5 × ( 40 + 37 + 34 + 30 + 27 + 23 )

= 0.5 × 191

= 95.5

Therefore,

the average of the left- and right-endpoint approximations

= [ 106 + 95.5 ] ÷ 2

= 100.75 liters

3 0
3 years ago
Two families planned to go to the zoo. The entry ticket for one adult was $7.31 and the entry ticket for one
pochemuha

Answer:

5 children

Step-by-step explanation:

$7.31 x2 = $14.62

$46- 14.62 =$32

5.66 divided by 5 = 28.3

5.66 divided by 6 = 33

and $33 is bigger than $31

So the greatest number of children tickets can be purchased is only 5.

4 0
3 years ago
Read 2 more answers
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