Main Street and Washington Avenue meet at a right angle. A large park begins at this corner. Joe's school lies at the opposite corner of the park. Usually Joe walks 1.2 miles along Main Street and then 0.9 miles up Washington Avenue to get to school. Today he walked a straight path across the park and returned home along the same path. What is the difference in distance between the two round trips?
Answers
Joe walked a distance of 1.5 miles across the park to get to school.
And the difference in their 2 round trips is 1.2 miles.
What is Pythagoras' theorem?
Pythagoras' Theorem states that the square of the hypotenuse side of a right-angled triangle is equal to the sum of the squares of the other two sides.
We can use the Pythagorean theorem to find the distance that Joe walked today.
Let's call this distance d.
Since Joe walked a straight path across the park, the distance he covered can be represented by the hypotenuse of a right triangle, with Main Street and Washington Avenue as the legs.
Now,
d² = 1.2² + 0.9²
d² = 1.44 + 0.81
d² = 2.25
d = 1.5
Therefore, Joe walked a distance of 1.5 miles across the park to get to school.
To find the difference in distance between the two round trips, we can subtract the distance that Joe usually walks from the distance he walked today, and double the result, since he has to walk back home.
Hence,
2 × (-1.5 + 1.2 + 0.9) = 1.2 miles
Therefore, the required distance is 1.2 miles.
To learn more about the Pythagoras theorem;
#SPJ3
Distance is 1.2 miles
:-)
Related Questions
Suzi is designing a path with parallelogram-shaped pavers as shown in the diagram. The area of the path is 120 square feet. About how many pavers will she need to cover the path?4060120160
Wha is the measure of AC?
Whitney conducted a survey of grocery store customers to determine the most popular brand of bread. Of the 63 people she surveyed, 14 customers liked Moonbeam, 21 customers liked Dora Lee, 17 customers liked Wondrous Loaf, and 5 customers liked Mostess. Identify the sample size in the situation above.
Ok convert one million seconds to years using multistep unit conversions. So far I have 1,000,000/1 • 1/60 • 1\60 • 1/24 • 1/168 but I'm stuck please help im really ticked off
b) How much will she have after 5 weeks?
c) How many weeks until she has $255?
Answers
Savings : $75
Babysitting earnings : $10 a week.
a) A = $75 + $10w
b) A = $75 + $10 * 5 weeks
A = $75 + $50
A = $125
c) A = $75 + $10w
$255 = $75 + $10w
$255 - $75 = $10w
$180 = $10w
$180/$10 = w
18 = w
Keyanna needs to babysit for 18 weeks.
Answers
Answers
The answer is: and the graph is attached.
The explanation is shown below:
1. You must use the information given in the problem to write the inequality.
2. represents the number of box tops for the fundraiser. Based on the information, the value of
must be greater than or equal to 5,000 box tops. Therefore, you have that the inequality is:
3. Then, you obtain the graph attached. As you can see, you must use a closed circle for ≥.
Answers
Let the no. be x.
160/100 *x=80
1.6*x=80
1.6x=80
x=80/1.6
x=800/16
x=50
Answers
+
1.05
___
$4.00 + $.45
=$4.45
Answers
Answer:
4
Step-by-step explanation:
4-0.25*10+0.5*5=4-2.5+2.5=4
g=10
h=5
4-.25(10)+.5(5)
4 -2.5 +2.5
The answer is 4