It is also a quadrilateral
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:
$118.25
Step-by-step explanation:
Always convert the percentage to a decimal by moving the decimal two points to the right/dividing by 100. So 7.5 % = 0.075
110 x 0.075 = 8.25 (the amount of tax added)
110 + 8.25 = 118.25
You can also multiply 110 by 1.075, where the "1" is the $110 and the ".075" is the tax, and save the step of adding. 110 x 1.075 = 118.25
Answer: The student needs 144 points to get a score of 96%
Step-by-step explanation:
The area will equal to 36
