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3 years ago

Find the value of sinY

Mathematics

1 answer:

Tatiana [17]3 years ago

8 0

Answer:

$\frac{63}{65}$

Step-by-step explanation:

Please see the attached picture.

Let's find the value of the opposite side, XZ.

Applying Pythagoras' Theorem,

(XZ)² +(XY)²= (ZY)²

(XZ)² +16²= 65²

(XZ)²= 4225 -256 (bring constant to 1 side)

(XZ)²= 3969 (simplify)

Square root both sides,

XZ= $\sqrt{3969}$

XZ= 63 (simplify)

sinY

= XZ/ ZY

$= \frac{63}{65}$

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2 years ago

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$4x-5y$ slope intercept form is option 3 - $y>\frac{4x}{5}-\frac{1}{5}$

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Step-by-step explanation:

Given : The system of inequalities $4x-5y$ and $\frac{1}{2}y-x$

To find : Which shows the given inequalities in slope-intercept form?

Solution :

The slope intercept form is $y=mx+b$ where m is the slope and b is y-intercept.

First inequality is $4x-5y$

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Multiply both side by -1,

$y>-\frac{1-4x}{5}$

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Answer:

The answer is

$x = \frac{ - 9 - \sqrt{41} }{10} \: \: \: , \: \: \: \: \: \frac{ - 9 + \sqrt{41} }{10} \\$

Step-by-step explanation:

5x² + 9x + 2 = 0

Using the quadratic formula that's

$x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac} }{2a} \\$

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