Solve the following equation for x.
1 answer:
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By right triangle trigonometry, the sine of the measure of an angle is the ratio of the opposite side of this angle to the hypotenuse.
Thus,
is a constant which can be found using a calculator:
with calc in pc: view → scientific → 27→sin = 0.45399,
thus x=34/0.45399=74.89
Answer: 74.89
Thus,
with calc in pc: view → scientific → 27→sin = 0.45399,
thus x=34/0.45399=74.89
Answer: 74.89
Convert all fractions to have the same denominator.
To convert, we must find the least common multiple of the two denominators of the fractions:
Multiples of 4: {4,8,12,16,20}
Multiples of 5: {5,10,15,20}
The least common multiple of 4 and 5 is 20.
Multiply the fractions by a number that will result in the denominator being 20:
The equation should now look like this:
Subtract both sides by 8/20 to get w by itself:
The value of w is 7/20.
To convert, we must find the least common multiple of the two denominators of the fractions:
Multiples of 4: {4,8,12,16,20}
Multiples of 5: {5,10,15,20}
The least common multiple of 4 and 5 is 20.
Multiply the fractions by a number that will result in the denominator being 20:
The equation should now look like this:
Subtract both sides by 8/20 to get w by itself:
The value of w is 7/20.