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Lena [83]
3 years ago
9

Two joggers run 12 miles north and then 5 miles west. What is the shortest distance they must travel to return to their starting

point
Mathematics
1 answer:
Lera25 [3.4K]3 years ago
3 0

Answer:

13 miles

Step-by-step explanation:

It may be easier to use a diagram but I am going to try my best to explain without one.

Picture their journey north as one side of a right angle triangle (a). Now picture their journey west as another side (b).

The shortest journey back is the hypotenuse of the triangle (c).

Using pythagoras you can work out the answer

a^{2} + b^{2}  = c^{2}

5^{2} + 12^{2}  = c^{2}\\25 + 144 = c^{2} \\\\169 = c^{2}\\\sqrt{169}  = c^{2}  \\13 = c^{2}

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you have a part time job. you work 3 hours on friday and 6 hours on saturday. you also receive an allowance of $20 per a week. y
klemol [59]
$92/week is the amount of money you gained from work combined with your $20/week allowance money. 

92 - 20 = 72 (total money made per week subtract allowance money leaves money made from work)
Thus, you make $72/week at your part time job.

You work a total of 9 hours. (3hrs on Fri & 6hrs on Sat added together)
72/9 = 8 (total amount of money made divided by the 9 hrs you worked for - gives amount of money you make per hour)
Thus, you make $8/hr at your part time job.


8 0
3 years ago
3(b + 8) = b + 48 PORFAVOR con plantamiento operacion y resultado, y de paso me explique el temas nsd9ucancuqna :( amaba matemat
ipn [44]

Answer:

b=12

Step-by-step explanation:

3b +24= b +48

       -24       -24

   3b =  b+ 24

   -b      -b

2b = 24

÷2     ÷2

b=12

5 0
3 years ago
Lots of pts and brainliest
aliya0001 [1]

-  \frac{3}{2}
5 0
3 years ago
Read 2 more answers
26. Higher Order Thinking Explain how<br>you know 437,160 is greater than 43,716.​
aleksandr82 [10.1K]

Answer:

Step-by-step explanation:

Locate the decimal point.

Count to the left of the decimal point.

The number with the most number of digits is larger than the number with fewer digits.

437160 has six digits.

It is 10 times bigger then

43716 which only has 5 digits.

5 0
3 years ago
The marketing manager for an automobile manufacturer is interested in determining the proportion of new compact-car owners who w
pshichka [43]

Answer:

Two-tailed test.

Step-by-step explanation:

There are two types of tests:

One-tailed tests and two-tailed tests.

When we only test if the mean is less or more than a value, we have a one-tailed test.

When we test if the mean is different from a value, we have a two-tailed test.

If you were to conduct a test to determine whether there is evidence that the proportion is different from 0.30, which test would you use?

Test if it is different, so a two-tailed test.

4 0
2 years ago
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