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Vedmedyk [2.9K]
3 years ago
6

Answer key for middle school math with pizzazz! book d d-47

Mathematics
1 answer:
Deffense [45]3 years ago
3 0

Answer:

yea its in the book

Step-by-step explanation:

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In a school egg drop challenge 136 of the eggs broke out of 200 total what percent of eggs survived the drop ?
dusya [7]

To make this equation easier, we can just divide the data by 2, so that the exact number of eggs that survived, is the percentage that survived.

Explanation:

200 = 200    Total Eggs

136  = 136   Eggs That Broke

So, the ratio of eggs that broke to total eggs is:

136 / 200

So, subtract the number of eggs that broke to the total eggs, to find the amount that survived.

200 - 136 = 64

So now we know that, 64 eggs of 200 survived.

Which means, that 32% off the eggs had survived.

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Using sum or difference formulas, find the exact value of sin(165∘)
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\bf \textit{Sum and Difference Identities}
\\ \quad \\
sin({{ \alpha}} + {{ \beta}})=sin({{ \alpha}})cos({{ \beta}}) + cos({{ \alpha}})sin({{ \beta}})
\\ \quad \\
sin({{ \alpha}} - {{ \beta}})=sin({{ \alpha}})cos({{ \beta}})- cos({{ \alpha}})sin({{ \beta}})\\\\
-------------------------------\\\\

\bf sin(165^o)\implies sin(120^o+45^o)
\\\\\\
sin(120^o)cos(45^o)~+~cos(120^o)sin(45^o)\implies \cfrac{\sqrt{3}}{2}\cdot \cfrac{\sqrt{2}}{2}~+~\cfrac{-1}{2}\cdot \cfrac{\sqrt{2}}{2}
\\\\\\
\cfrac{\sqrt{6}}{4}~-~\cfrac{\sqrt{2}}{4}\implies \cfrac{\sqrt{6}-\sqrt{2}}{4}
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What is the value of B Image below
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