Which is the real world situation that can be described by a linear inequality
1 answer:
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Answer:
i. RP = 17
ii. RT = 15
iii. RS = 30
Step-by-step explanation:
Given that; QT = 9 and TP = 8.
From the diagram, join R to P. Thus RP = QP (radius of the circle)
RP = QT + TP
= 9 + 8
RP = 17
Applying Pythagoras theorem to triangle TRP;
RT =
=
=
= 15
∴ RT = 15
But, RT = TS = 15.
So that;
RS = 15 + 15
= 30
RS = 30
Therefore; RP = 17, RT = 15 and RS = 30.
Each petal of the region 
is the intersection of two circles, both of diameter 10. Each petal in turn is twice the area of a circular segment bounded by a chord of length 
, which implies the segment is subtended by an angle of 
. This means the area of the segment is
This means the area of one petal is
, and the area of is four times this, or 
.
Meanwhile, the area of
is simply the area of the square minus the area of , or 
.
So
(provided these regions are indeed disjoint; it's hard to tell from the picture)
This means the area of one petal is
Meanwhile, the area of
So