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3 years ago

3/5 / 6 show ur work

Mathematics

2 answers:

faltersainse [42]3 years ago

4 0

Answer:

$\frac{1}{10}$

Step-by-step explanation:

$\displaystyle \frac{\frac{3}{5} }{6}$

$\frac{3}{5\times \:6}$

$\frac{3}{30}$

$=\frac{1}{10}$

MrRa [10]3 years ago

3 0

Answer:

1/10

Step-by-step explanation:

3/5÷6

3/5×1/6

(3×1)/(5×6)

3/30

1/10

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Angles α and β are the two acute angles in a right triangle. Use the relationship between sine and cosine to find the value of β

Dimas [21]

Answer:

From given relation the value of β is 37.5°

Step-by-step explanation:

Given as :

α and β are two acute angles of right triangle

Acute angle have measure less than 90°

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$sin(\frac{x}{2} + 2x)$ = $cos(2x +\frac{3x}{2})$

Or, $cos(90° - (\frac{x}{2}+2x))$ = $cos(2x +\frac{3x}{2})$

SO, $(90° - (\frac{x}{2}+2x))$ = $2x+\frac{3x}{2}$

Or, 90° = $2x+\frac{3x}{2}$ + $\frac{x}{2}+2x$

or, 90° = $\frac{4x}{2}$ + 4x

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So, $sin(\frac{x}{2} + 2x)$ = sin $\frac{75}{2}$

∴ The value of Ф_1 = $\frac{75}{2}$ = 37.5°

Similarly $cos(2x +\frac{3x}{2})$ = $cos(30 +\frac{45}{2})$

So ,The value of Ф_2 = $\frac{105}{2}$ = 52.5°

∵ β α

So, As 37.5°52.5°

∴ β = 37.5°

Hence From given relation the value of β is 37.5° Answer

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