Step-by-step explanation:
To solve this, you either need x or y. So x or y can be the missing values. The most you can do is simply move one of the terms to the other side.
<h3>
Answer: cos(76)</h3>
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Explanation:
The original expression is of the pattern cos cos + sin sin. This pattern matches the second identity in the hint. Specifically, we'll say the following:
cos(A - B) = cos(A)cos(B) + sin(A)sin(B)
cos(A)cos(B) + sin(A)sin(B) = cos(A - B)
cos(94)cos(18) + sin(94)sin(18) = cos(94 - 18)
cos(94)cos(18) + sin(94)sin(18) = cos(76)
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We can verify this by use of a calculator. Make sure your calculator is in degree mode.
- cos(94)cos(18) + sin(94)sin(18) = 0.24192
- cos(76) = 0.24192
Both expressions give the same decimal approximation, so this helps confirm the two expressions are equal. You could also use the idea that if x = y, then x-y = 0. Through this method, you'll subtract the left and right hand sides and you should get (very close to) zero.
If each shirt needs eight buttons you find out what times (×) Eight equals (=) 80
8×10=80
So Eight buttons per shirt
So together they made 10 shirts
but they ask how many Timor made so you do 10 ÷ 2= 5
Timor Made Five (5) Shirts
- 28 - 40i
note that i² = (√-1)² = - 1
expand product of factors using FOIL
= - 6 - 6i - 14i - 14i² - 20i + 36i²
= - 6 - 6i - 14i + 14 - 20i - 36
= - 28 - 40i
