Answer:
Sine, cosine and tangent formulas are used in RIGHT triangles. So you have one 90 degree angle and two acute angles that add up to 90 degrees (they are complimentary). So the cosine of one angle would be the same as the sine of the compliment to that angle... and vice versa. To answer this question, sin 81 = cos 9, since 81 and 9 are the two acute angles of the triangle and they both add up to 90 degrees. "Cos 9" is the answer when you wish to write "sin 81" in terms of "cosine."
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Answer:
s = 4
Step-by-step explanation:
Given
3r = 10 + 5s ← substitute r = 10
3 × 10 = 10 + 5s
30 = 10 + 5s ( subtract 10 from both sides )
20 = 5s ( divide both sides by 5 )
4 = s
Answer:
23
Step-by-step explanation:
Evaluate f(- 2) then substitute the value obtained into g(x)
f(- 2) = 3(- 2)² + 2(- 2) - 1 = 3(4) - 4 - 1 = 12 - 5 = 7 , then
g(7) = 4(7) - 5 = 28 - 5 = 23
Answer:
$29,750
Step-by-step explanation:
We have been given the income before tax: $150,000
And taxable income: $65,000
So, the income tax would be : $150,000-$65,000=$85000
So, 35% of $85000 is 
On simplification we get: $29,750
Hence, the income tax expense will be $29,750