Answer:
x ≈ 2.91644500708
Step-by-step explanation:
The equation can be simplified to ...
2(4^x) +4(4^x) = 342
6(4^x) = 342
4^x = 57
Taking logarithms, we get ...
x = log₄(57) = log(57)/log(4)
x ≈ 2.91644500708
It is 900,000 it is in the hundreds thousandths place.
Answer:
C
Step-by-step explanation:
sum of angles in tri are 180
180-35-36=109
Compute successive differences of the terms.
If they are all the same, the sequence is arithmetic and the common difference is the difference you have found.
If successive pairs of differences have the same ratio, the sequence is geometric and the common ratio is the ratio you have determined.
Example of arithmetic sequence:
1, 3, 5, 7
Successive differences are 3-1 = 2, 5-3 = 2, 7-5 = 2. All the differences are 2, which is the common difference of the sequence.
Example of geometric sequence:
1, -3, 9, -27
Successive differences are -3-1 = -4, 9-(-3) = 12, -27-9 = -36. These are not the same, so the sequence is not arithmetic. Ratios of successive pairs of differences are 12/-4 = -3, -36/12 = -3. These are the same, so the sequence is geometric with common ratio -3.
Answer:
Step-by-step explanation:
Given
Required
Find equivalent between 0 to 180;
Let 24 be represented by
So,
From Trigonometry ratios;
where
Recall that
So, we have to substitute 24 for in the above expression.
This gives
Subtract 24 from 180
Hence, the equivalent of is