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kari74 [83]
4 years ago
7

I am lost on what to do

Mathematics
1 answer:
Neko [114]4 years ago
4 0
\bf sin({{ \alpha}})sin({{ \beta}})=\cfrac{1}{2}[cos({{ \alpha}}-{{ \beta}})\quad -\quad cos({{ \alpha}}+{{ \beta}})]
\\\\\\
cot(\theta)=\cfrac{cos(\theta)}{sin(\theta)}\\\\
-----------------------------\\\\
\lim\limits_{x\to 0}\ \cfrac{sin(11x)}{cot(5x)}\\\\
-----------------------------\\\\
\cfrac{sin(11x)}{\frac{cos(5x)}{sin(5x)}}\implies \cfrac{sin(11x)}{1}\cdot \cfrac{sin(5x)}{cos(5x)}\implies \cfrac{sin(11x)sin(5x)}{cos(5x)}

\bf \cfrac{\frac{cos(11x-5x)-cos(11x+5x)}{2}}{cos(5x)}\implies \cfrac{\frac{cos(6x)-cos(16x)}{2}}{cos(5x)}
\\\\\\
\cfrac{cos(6x)-cos(16x)}{2}\cdot \cfrac{1}{cos(5x)}\implies \cfrac{cos(6x)-cos(16x)}{2cos(5x)}
\\\\\\
\lim\limits_{x\to 0}\ \cfrac{cos(6x)-cos(16x)}{2cos(5x)}\implies \cfrac{1-1}{2\cdot 1}\implies \cfrac{0}{2}\implies 0
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Step-by-step explanation:

I assume you meant :

the restaurant has 20 1/2 pounds of bananas.

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how many smoothies can be made with the amount of available bananas ?

the answer is as many as the times 1/8 fit into 20 1/2.

so, we actually calculate

(20 1/2) / (1/8)

first we will convert the mixed number into a true fraction :

20 1/2 = 40/2 + 1/2 = 41/2

so we have

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and then, when dividing fractions we have 2 choices (they do both the same, of course, but start looking differently) :

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so,

41/2 / 1/8 = 41×8 / 2×1 = 41×4 = 164

they can make 164 smoothies.

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