Answer:
You would need to sell each cupcake for at least 2.80$
Step-by-step explanation:
If you sell each cupcake at 2.80$ you will make 134.4$
sin(<em>θ</em>) + cos(<em>θ</em>) = 1
Divide both sides by √2:
1/√2 sin(<em>θ</em>) + 1/√2 cos(<em>θ</em>) = 1/√2
We do this because sin(<em>x</em>) = cos(<em>x</em>) = 1/√2 for <em>x</em> = <em>π</em>/4, and this lets us condense the left side using either of the following angle sum identities:
sin(<em>x</em> + <em>y</em>) = sin(<em>x</em>) cos(<em>y</em>) + cos(<em>x</em>) sin(<em>y</em>)
cos(<em>x</em> - <em>y</em>) = cos(<em>x</em>) cos(<em>y</em>) - sin(<em>x</em>) sin(<em>y</em>)
Depending on which identity you choose, we get either
1/√2 sin(<em>θ</em>) + 1/√2 cos(<em>θ</em>) = sin(<em>θ</em> + <em>π</em>/4)
or
1/√2 sin(<em>θ</em>) + 1/√2 cos(<em>θ</em>) = cos(<em>θ</em> - <em>π</em>/4)
Let's stick with the first equation, so that
sin(<em>θ</em> + <em>π</em>/4) = 1/√2
<em>θ</em> + <em>π</em>/4 = <em>π</em>/4 + 2<em>nπ</em> <u>or</u> <em>θ</em> + <em>π</em>/4 = 3<em>π</em>/4 + 2<em>nπ</em>
(where <em>n</em> is any integer)
<em>θ</em> = 2<em>nπ</em> <u>or</u> <em>θ</em> = <em>π</em>/2 + 2<em>nπ</em>
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We get only one solution from the second solution set in the interval 0 < <em>θ</em> < 2<em>π</em> when <em>n</em> = 0, which gives <em>θ</em> = <em>π</em>/2.
With what I don’t see anything
Answer:
so midpoint formula is (x1+x2/2, y1+y2/2)
Step-by-step explanation:
so for 1: (11-11/2, 4+12/2)= (0,8)
then if you have the midpoint and one endpoint, find the distance between them to find the other endpoint.
so, for the third example, start with the x. how fair is -8 from -1? The answer is 7. So, we must ask, what number is 7 more than -1? Answer is 6. Then repeat for the y. 6 is 5 units away from 1, so then we do 1-5=-4. So it should be (6,-4) as point B
Answer:
1262.0288
Step-by-step explanation:
2×3.14×200.96
