The perimeter of the park is (125+150)*2=550 yards. Then, to walk a million years, you would need to walk 1000000/550=1818.18 perimeters. Since we're looking for the amount of times we have to walk around the park fully to hit 1,000,000 yards, though, we must round up (even though normally with a decimal of .18 we'd round down) to 1819 times.
Answer:
Q1:
Share of the daughter (x):
2x + x + x + $1,000 = $9,000
4x = $8,000
x = $2,000
Share of the wife:
= 2($2,000)
= $4,000
Share of the son:
= $2,000 + $1,000
= $3,000
Answer: wife, $4,000; son, $3,000; daughter, $2,000
Q2:
= 1/2x + $1,000
Answer: 1/2x + $1,000: expression for share of the son
Proof (the wife shares $4,000):
Share of wife (x):
x + 1/2x + 1/2x + $1,000 = $9,000
2x = $8,000
x = $4,000
Step-by-step explanation:
hope it helps!
we know that
The circumcenter of a triangle is the point where the perpendicular bisectors of the sides intersect. It is also the center of the circumcircle, the circle that passes through all three vertices of the triangle
The distance of the circumcenter to the vertices of the triangle is equal to the radius of the circle
see the attached figure to better understand the problem
therefore
the answer is
The cell phone company must be place the new cell tower in the circumcenter of the triangle formed by the center of the three towns
