Answer:
50.33 mi.
Step-by-step explanation:
<u>GIVEN :-</u>
Coordinates of :-
- Home = (0 , 0)
- School = (4 , 3)
- Pizza place = (-8 , 2)
- Movie Theater = (-4 , -6)
- Park = (7 , -5)
<u>TO FIND :-</u>
- Total distance travelled on Friday & Saturday.
<u>GENERAL FORMULAE TO BE USED IN THIS QUESTION :-</u>
Lets say there are two points A & B on a cartesian plane whose coordinates are (x₁ , y₁) & (x₂ , y₂).
Distance between A & B = 
<u>SOLUTION :-</u>
According to question ,
On Friday , you -
- leave school and go to pizza palace. Distance travelled from school to pizza palace =
≈ 12.04 mi. - go to movie theater after pizza palace. Distance travelled from pizza palace to movie theater =
≈ 8.94 mi. - come back to your home after the movies. Distance travelled from theater to home =
≈ 7.21 mi.
⇒ <em>On Friday , total distance travelled = 12.04 + 8.94 + 7.21 = 28.19 mi.</em>
On Saturday , you -
- go to park from your home. Distance travelled from home to park =
≈ 8.6 mi. - go to school after going to park. Distance travelled from park to school =
≈ 8.54 mi. - go to home after playing basketball in school. Distance travelled from school to home =
= 5 mi.
⇒ <em>On Saturday , total distance travelled = 8.6 + 8.54 + 5 = 22.14 mi.</em>
∴ Total distance travelled on Friday & Saturday = 28.19 + 22.14 = 50.33 mi.
Negative because you take the money out
The distance formula as shown below:
Answer:
55.4068881439
Step-by-step explanation:
Lets first find the feet they walk per day, multiply the steps by the feet/step:

Now lets find the feet/week by multiplying that value by 7:

Now lets convert the feet to km:

Resulting in approximately 55 kilometers
Let's make clear the question, because it may be confusing:
<span>"A health inspector must visit 4 of 14 restaurants on Monday. In how many ways can she pick a first, second, third, and fourth restaurant to visit?"
In order to solve the problem, you need to use permutations: you have 14 possible restaurants to choose as first, the second one will be chosen among the 13 restaurants left, the third one among the remaining 12 and the fourth one will be one of the remaining 11.
Therefore, the total number of possibilities is:
14 </span>× 13 × 12 × 11 = 24024
There are <span>24024 possible ways to choose the four restaurants to visit.</span>