A point is located in a polar coordinate system by coordinates r = 2.5 m and Θ = 35°.

1 answer:

7 0

$x=r\cos \theta\\
y=r\sin \theta\\\\
x=2.5\cdot\cos 35\approx2.5\cdot0.82\approx2.1\\
y=2.5\cdot\sin 35\approx2.5\cdot 0.57\approx1.4$

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Simplify the following fraction (9/16/1/4)-1/5

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Answer: $\frac{41}{20}$

Step-by-step explanation:

The first step is to make the division of the fractions $\frac{9}{16}$ and

$\frac{1}{4}$ . To do this, you can flip the fraction $\frac{1}{4}$ over and multiply the numerators and the denominators of the fractions. Then:

$(\frac{\frac{9}{16}}{\frac{1}{4}})-\frac{1}{5}=(\frac{9}{16}*4)-\frac{1}{5}=\frac{36}{16}-\frac{1}{5}$

Reduce the fraction $\frac{36}{16}$ :

$=\frac{9}{4}-\frac{1}{5}$

Now you can make the subtraction: in this case the Least Common Denominator (LCD) will be the multiplication of the denominators. Divide each denominator by the LCD and multiply this quotient by the corresponding numerator and then subtract the products. Therefore you get:

$=\frac{45-4}{20}=\frac{41}{20}$