Refresher - MATHEMATICS Quiz 13
PROBLEM 1:
On the Richter scale the magnitude R of an earthquake of intensity is given by
I
R = log
Io If the intensity of Io is 1000 Io find R.
Solution:
I
R = log
Io
1000 Io
R = log
Io
R = log 1000
R = log 10 3
R=3
, Refresher - MATHEMATICS Quiz 13
PROBLEM 2:
In triangle ABC, AB = 15 cm., BC = 18 cm. and CA = 24 cm. If the area
of the triangle is equal to 134.83 m2, how far is the point of intersection of
the angular bisector from side AB.
Solution:
B
c a
r r
r
A b C
a+b+c
S=
2
18 + 24 + 15
S= = 28.5
2
SA==28.5
rS
A134.83
= r S = r (28.5)
134.83
r = 4.73= rcm.
(28.5)
from AB
r = 4.73 cm from AB
PROBLEM 1:
On the Richter scale the magnitude R of an earthquake of intensity is given by
I
R = log
Io If the intensity of Io is 1000 Io find R.
Solution:
I
R = log
Io
1000 Io
R = log
Io
R = log 1000
R = log 10 3
R=3
, Refresher - MATHEMATICS Quiz 13
PROBLEM 2:
In triangle ABC, AB = 15 cm., BC = 18 cm. and CA = 24 cm. If the area
of the triangle is equal to 134.83 m2, how far is the point of intersection of
the angular bisector from side AB.
Solution:
B
c a
r r
r
A b C
a+b+c
S=
2
18 + 24 + 15
S= = 28.5
2
SA==28.5
rS
A134.83
= r S = r (28.5)
134.83
r = 4.73= rcm.
(28.5)
from AB
r = 4.73 cm from AB
