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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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2x+y=-2. x+y=5. the x coordinate of the solution to the system shown is

lara31 [8.8K]

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

Now actual speed against the current is (15 - c)

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

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

Also the upstream time - downstream time = 4

Now the equations are

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

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3 years ago

Please help!!! Express the area of the entire rectangle.

Mademuasel [1]

17x +x to the second power

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2 years ago

Solve for w. 5w + 9z = 2z + 3w

DIA [1.3K]

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 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.

5w + 9z - 9z = 2z + 3w - 9z
5w = -7z + 3w

The 3w term on the right-hand side needs to be removed. So, subtract each side by 3w.

5w - 3w = -7z + 3w - 3w
2w = -7z

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

2w / 2 = -7z / 2
w = -7z / 2 or w = -3.5z

So, w is equal to -3.5z.

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3 years ago

Read 2 more answers

Find the value of 5! A. 25 B. 20 C. 120 D. 15

zvonat [6]

Answer:

C 120

Step-by-step explanation:

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2 years ago