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Salsk061 [2.6K]
2 years ago
9

Find Y

Mathematics
2 answers:
djverab [1.8K]2 years ago
8 0

Answer:

\sin(30)  =  \frac{y}{2 \sqrt{2} }  \\  \\  <  =  >  \frac{1}{2}  =  \frac{y}{2 \sqrt{2} }  \\  <  =  > y =  \frac{2 \sqrt{2} }{2}  \\  \\  <  =  > y =  \sqrt{2}

enot [183]2 years ago
4 0

Answer:

y= √2

Step-by-step explanation:

sin 30°= y/2√2

1/2= y/2√2

y=√2

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Answer:

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Step-by-step explanation:

You can consider the area to be that of a trapezoid with parallel bases f(a) and f(4), and width (4-a). The area of that trapezoid is ...

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The values of "a" that make the area under the curve equal to 12 are -2 and 8/3.

_____

<em>Alternate solution</em>

The attachment shows a solution using the numerical integration function of a graphing calculator. The area under the curve of function f(x) on the interval [a, 4] is the integral of f(x) on that interval. Perhaps confusingly, we have called that area f(a). As we have seen above, the area is a quadratic function of "a". I find it convenient to use a calculator's functions to solve problems like this where possible.

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