We can write any number n in the form
, since
and
are inverse functions, so that

The bases are the same on both sides, so the exponents must be equal.

Solve for x :


1. a)CK²=CH²+HK², CH - radius
CH²=CK²-HK²=50²-30²=2500-900=1600 ft²
CH=40 ft -- radius
b) cos(KCH)= CH/CK=40/50=4/5
KCH=arccos(4/5)≈36.87°
2)C=2πr≈2*3.14*40=251.2 ft
C=2*40π=80π ft --- exact
3) A =πr²=40²π=1600π ----exact
A≈1600*3.14=5024 ft
Answer:
x=(
−
2
/7
,
0
)
y= (
0
,
-
2
)
Step-by-step explanation: