![jfw0504](/avatars/22671.jpg)
jfw0504
16.09.2019 •
Mathematics
Which is the better deal: 3 cans of soda for $1.27 or 5 cans of soda for $1.79? use unit rates to solve. hint: ratios
Solved
Show answers
More tips
- F Family and Home How to Choose a Name for Your Baby?...
- B Business and Finance How to Open an Online Store? A Detailed Guide for Beginners...
- W Work and Career How to Write a Resume That Catches the Employer s Attention?...
- C Computers and Internet Е-head: How it Simplifies Life for Users?...
- F Family and Home How to Choose the Best Diapers for Your Baby?...
- F Family and Home Parquet or laminate, which is better?...
- L Leisure and Entertainment How to Properly Wind Fishing Line onto a Reel?...
- L Leisure and Entertainment How to Make a Paper Boat in Simple Steps...
- T Travel and tourism Maldives Adventures: What is the Best Season to Visit the Luxurious Beaches?...
- H Health and Medicine Kinesiology: What is it and How Does it Work?...
Answers on questions: Mathematics
- M Mathematics Which angle is congruent to ACB?...
- M Mathematics Can somebody cash app me $10 dollars pls...
- M Mathematics PLS HELP ASAP 20 POINTS look at the attachment...
- M Mathematics Anja says that x-3 is a factor of the polynomial f(x)=x^3+x^2-5x+3 If that is true, what is the other factor?...
- M Mathematics You have $33 to spend on 24 balloons. Birthday balloons cost $1.50 each, congratulations balloons cost $1.00 each, and get well balloons cost $2.00. You want twice as many...
- M Mathematics A guy has a mix of one, five, and ten dollar bills. There are 27 bills in a jar for a total of $91. There are four times as many ones as tens. How many five dollar bills are...
- M Mathematics Maggie pays $18.66 for 6 m of ribbon. What is the cost of the ribbon per (7 meter? (2 points) Pll with the solving pl...
- M Mathematics (9+radical -4)-(5+ radical -16)...
- M Mathematics What is the cost of 11 pounds of apples...
- M Mathematics Please help please i will suck pp...
Ответ:
Ответ:
The runner is 8.54 miles from her starting point if she plans to run straight back.
From the question, a runner jogs 3 miles west and then jogs 8 miles north.
An illustrative diagram for the journey is shown in the attachment below.
In the diagram, S is the starting point. That is, the runner jogs 3 miles west to a place R and then 8 miles north to a place E.
The cardinal points (North, East, West and South) are indicated beside the diagram.
Now, to calculate how far she is from her starting point if she plans to run straight back, we will determine the length of /ES/ in the diagram.
The diagram is a right-angled triangle and /ES/ can be determined using the Pythagorean theorem.
The Pythagorean theorem states that, in a right-angled triangle, the square of the longest side ( that is hypotenuse) equals sum of the squares of the other two sides.
In the diagram, hypotenuse = /ES/
∴ /ES/² = /SR/² + /RE/²
/SR/ = 3 miles
/RE/ =8 miles
/ES/² = 3² + 8²
/ES/² = 9 + 64
/ES/² = 73
/ES/ =![\sqrt{73}](/tpl/images/1401/4401/f0624.png)
/ES/ = 8.54 miles
Hence, the runner is 8.54 miles from her starting point if she plans to run straight back.
Learn more here: