9514 1404 393
Answer:
20 miles
Step-by-step explanation:
The north and east distances form the legs of a right triangle. The straight-line distance between the trains is the hypotenuse of that triangle. The Pythagorean theorem can be used to find the length of the hypotenuse (d).
d² = 12² +16²
d² = 144 +256 = 400
d = √400 = 20
The two trains are 20 miles apart.
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<em>Additional comment</em>
You may recognize the given distances are in the ratio 3 : 4. You may recall that side ratios of 3 : 4 : 5 make a right triangle. If so, you recognize that the straight-line distance is (4 miles)×5 = 20 miles. (3:4:5 right triangles show up often in algebra and geometry problems, so might be something you want to look for.)
Answer:
Step-by-step explanation:
First change 4 3/10 to 4.3. Then you change 4.3 + -6.2 to 4.3 - 6.2.
Then you do 4.3 - 6.2 and you should get - 1.9.
The coefficients DO NOT represent mass. Moles to mole ratios in a balanced chemical reaction are equivalents. Example 1: 3 H2 (g) + N2 (g) → 2 NH3 (g) tells us that 1 mole of nitrogen will stoichiometrically react with 3 moles of hydrogen to theoretically (ideally) produce 2 moles of ammonia.
Pi D = 100 pi = distance once around
1000 pi = distance ten times around
1000 pi meters/1000meters/km = pi km
= 3.14 = 3.1 km
Answer:
a/b
Step-by-step explanation:
