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.
__
<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:
8.695=area of shaded region
Step-by-step explanation:
pi x 16=50.265
this is the whole circle
the radius is also the side of the hexagon
the picture is formula for area of hexagon
if you replace a by the side which is 4
the answer is 41.57
50.265-41.57=8.695
When a whole number is multiplied by 1,000 the product is the whole number with 3 zeros added behind it.
Answer: c
Step-by-step explanation:
since angle bisector divides the opposite side in same ratio of other two sides
18/12=12/x
x=12×12/18
x=8
