Question
1 answer:
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Answer:
x = 2.24
Step-by-step explanation:
I will ASSUME that the 15 represents the angle in degrees
We can make a similar triangle by adding the purple lines as shown.
Any triangle inscribed in a circle with one side as a diameter is a right triangle.
We know it is similar triangle because it shares two common angles, the right angle and the 75° angle at the far right. Then
z = 2Rsin15 = 2(16.7)sin15
x = zsin15 = 2(16.7)sin²15 = 2.237375756799...
Table 3 represents an arithmetic sequence.
Solution:
To find which table represents an arithmetic sequence:
In arithmetic sequence difference of each term is equal.
Table 1:
= –12 – (–6)
d = –6
= –24 – (–12)
d = –12
Here differences are not equal.
So table 1 not represents an arithmetic sequence.
Table 2:
= 9 – 7
d = 2
= 13 – 9
d = 4
Here differences are not equal.
So table 2 not represents an arithmetic sequence.
Table 3:
= 7.3 – 8.7
d = –1.4
= 5.9 – 7.3
d = –1.4
= 4.5 – 5.9
d = –1.4
= 3.1 – 4.5
d = –1.4
Here differences are equal.
So table 3 represents an arithmetic sequence.