Answer:
100 in is the answer.
Step-by-step explanation:
a = 60 in
b = 80 in
c = ?
According to the Pythagorean theorem,
a² + b² = c²
60² + 80² = c²
3600 + 6400 = c²
c² = 10000
c = 100 in
∴ the distance between the opposite corners of the bed is 100 in
Note that this a right-angled triangle with the right angle at Y.
<span>Use coordinates of the point to find XY and YZ </span>
<span>XY = 21 - (-3) </span>
<span>= 24 </span>
<span>YZ = 4 - (-6) </span>
<span>= 10 </span>
<span>Use Pythagoras theorem to XZ </span>
<span>XZ = sqrt[24^2 + 10^2] </span>
<span>= 26 </span>
<span>Perimeter = 26 + 24 + 10 </span>
<span>= 60</span>
Written out, this would be (x / 7) - 10 < -6
solved, it would be x < 28
200/160=1.25
200+160=360/1.25/160=200.8
so your answer is 0.8