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Sveta_85 [38]
3 years ago
15

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 <em>(</em><em>bring</em><em> </em><em>constant</em><em> </em><em>to</em><em> </em><em>1</em><em> </em><em>side</em><em>)</em>

(XZ)²= 3969 <em>(</em><em>simplify</em><em>)</em>

<em>Square</em><em> </em><em>root</em><em> </em><em>both</em><em> </em><em>sides</em><em>,</em>

XZ= \sqrt{3969}

XZ= 63 <em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>(simplify)</em>

sinY

= XZ/ ZY

= \frac{63}{65}

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We have y = -2 - 2x ;
Then, x + ( -2 - 2x ) = 5 ;
x - 2 - 2x = 5;
- x - 2 = 5 ;
-x = 7 ;
x = - 7;
Finally, y = - 2  - 2 × ( - 7 ) ;
y = - 2 + 14 ;
y = 12;
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3 years ago
The speed of boat in still water is 15km/hr if needs 4 more his to travel 63 km against the current of a river than it needs to
hram777 [196]

Answer:

\frac{63}{15  - c} - \frac{63}{15  + c} = 4

Step-by-step explanation:

The systems of equations are

Let us assume the rate of the current be c

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And, the actual speed with the current is (15 + c)

Here we applied the time formula i.e. distance by speed

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Solve for w.<br><br> 5w + 9z = 2z + 3w
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When solving for a variable, you get the variable you're trying to solve for on one side and everything to the opposite of that variable.

We have the equation <span>5w + 9z = 2z + 3w.

Usually the variable we're solving for we want on the left. But it's fine to have it on the right side, too.

Let's subtract 9z from the left-hand side. That way, the 5w will be alone on the left-hand side.

And remember, anything we do on one side we do to the other side.

</span><span>5w + 9z - 9z = 2z + 3w - 9z
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The 3w term on the right-hand side needs to be removed. So, subtract each side by 3w.

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Now, we need to divide each side by 2 to see what the w variable is equal to.

2w / 2 = -7z / 2
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So, w is equal to -3.5z.

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7 0
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Answer:

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Step-by-step explanation:

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