The lifeguards at the beach post information of surfers by placing 3 flags, one above the other, on a flag pole. If there are 7
2 answers:
Answer: 210
Step-by-step explanation:
Given : The number of flags available = 7
The number of flags required = 3
Since for the arrangement of flags , the order matters.
So we apply permutation to find the number of possible signals.
The number of possible signals of 7 flags taking 3 at a time is given by :-
Hence, the number of possible signals of 7 flags taking 3 at a time is 210
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Answer:
Step-by-step explanation:
Given:
°
From the triangle, using the theorem that center angle by an arc is twice the angle it subtend at the circumference.
Also, the diameter of the circle is BD. As per the theorem that says that angle subtended by the diameter at the circumference is always 90°,
From the Δ BCD, which is a right angled triangle,
Now, using the theorem that angle between the tangent and a chord is equal to the angle subtended by the same chord at the circumference.
Here, chords CD and BC subtend angles 40 and 50 at the circumference as shown in the diagram by angles and EF is a tangent to the circle at point C.
Therefore,
Again, using the same theorem as above,
Hence, all the angles are as follows: