The travels you have described are:
(Middle floor) + 8 + 5 - 9 + 7 - 32
= (middle floor) + 20 - 41
= (middle floor) - 21 brought her to floor #1.
So Middle floor - 21 = 1
Add 21 to each side: Middle floor = 22
The building has (2 x middle floor) = 44 floors.
Answer:
the length in fraction form would be 16 1/2 rounded to the nearest 10 would be 20
Step-by-step explanation:
because 16.5=16 1/2
16.5=17
17=20
If it has 3 sides then it's a triangle.
Using the formula
where
and a=5 b=5 c=8
∴
OK. I did it. Now let's see if I can go through it without
getting too complicated.
I think the key to the whole thing is this fact:
A radius drawn perpendicular to a chord bisects the chord.
That tells us several things:
-- OM bisects AB.
'M' is the midpoint of AB.
AM is half of AB.
-- ON bisects AC.
'N' is the midpoint of AC.
AN is half of AC.
-- Since AC is half of AB,
AN is half of AM.
a = b/2
Now look at the right triangle inside the rectangle.
'r' is the hypotenuse, so
a² + b² = r²
But a = b/2, so (b/2)² + b² = r²
(b/2)² = b²/4 b²/4 + b² = r²
Multiply each side by 4: b² + 4b² = 4r²
- - - - - - - - - - -
0 + 5b² = 4r²
Repeat the
original equation: a² + b² = r²
Subtract the last
two equations: -a² + 4b² = 3r²
Add a² to each side: 4b² = a² + 3r² . <=== ! ! !
