An electrical pole is 12.4m tall. It is supported by a guy wire that is 17.3 long. how far is the anchor of the guy wire to the
1 answer:
The anchor of the guy wire is 12.06 meters away form base of electrical pole.
Further explanation:
The whole given scenario forms a right angle triangle. The pole is standing straight so it is the perpendicular while the guy wire goes from the top of pole to the anchor so it will be the hypotenuse. We have to finds the base.
Pythagoras theorem will be used.
Pythagoras theorem states that:
Given
Base=?
Perpendicular=12.4 m
Hypotenuse = 17.3 m
Putting the values
The anchor of the guy wire is 12.06 meters away form base of electrical pole.
Keywords: Pythagoras theorem, Hypotenuse
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Answer:
a) 504
b) 56
c) 0.111
Step-by-step explanation:
Data provided in the question:
There are nine golf balls numbered from 1 to 9 in a bag
Three balls are randomly selected without replacement
a) 3-digit numbers that can be formed
=
n = 9
r = 3
= ⁹P₃
=
= 9 × 8 × 7
= 504
b) 3-digit numbers start with the digit 1
= _ _ _
in the above 3 blanks first digit is fixed i.e 1
we and we have 8 choices left for the last 2 digits
Thus,
n = 8
r = 2
Therefore,
= 1 × ⁸P₂
= 1 ×
= 1 × 8 × 7
= 56
c) Probability that the 3-digit number formed is less than 200
Now,
The number of 3-digit number formed is less than 200 will be the 3-digit numbers start with the digit 1 i.e part b)
and total 3-digit numbers that can be formed is part a)
therefore,
Probability that the 3-digit number formed is less than 200
= 56 ÷ 504
= 0.111