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IrinaVladis [17]
2 years ago
11

Given m n, find the value of x and y.

Mathematics
1 answer:
KATRIN_1 [288]2 years ago
4 0

Answer:

X= 38°

Y = 142°

Step-by-step explanation:

let the angle vertically opposite to 142° = w

therefore, w= 142° ( vertically opposite angles are equal)

hence,x+ w =180° ( two interior angles sum up to 180°)

x+ 142° = 180°

x= 180 - 142 = 48°

X = 38°

then calculating for Y

X + Y = 180° ( angles on a straight line sum up to 180°)

38+Y = 180

Y = 180- 38

Y = 142°

<h2>we're done here...</h2><h2>please don't forget to rate and mark brainliest!!!</h2>
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Answer:

  sin(θ) ≈ -0.92

  cos(θ) ≈ 0.38

  tan(θ) = -2.40

Step-by-step explanation:

Let r represent the distance of the point from the origin. The Pythagorean theorem tells us ...

  r² = (5)² + (-12)²

  r² = 169

  r = √169 = 13

The trig relations for a point on the terminal ray are ...

  (x, y) = (r·cos(θ), r·sin(θ))

Then ...

  sin(θ) = y/r = -12/13 ≈ -0.92

  cos(θ) = x/r = 5/13 ≈ 0.38

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3 years ago
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Reinhardt Furniture Company has 40,000 shares of cumulative preferred 2% stock, $150 par and 100,000 shares of $5 par common sto
Ann [662]

Answer:

for year 1

common stock =  $1.75 per share

preferred stock  = Zero

for year 2

common stock =  $4.25 per share

preferred stock  = $0.3 per share

for year 3

common stock =   $3 per share

preferred stock  =  $2 per share

Step-by-step explanation:

step 1

preferred stock value =  (40000 shares * $150) = $6000000

common stock value  = (100000 shares * $5) = $500000

 step 2

For year 1:

Dividend on preferred stock;

\frac{6000000 * 2}{100} = $120000

But total dividend in the question was $70000 therefore total amount of  dividend on cumulative preferred stock is $70000.

hence, dividend per share

= \frac{70000}{40000 shares} = $1.75 per share

Dividend on common stock;

70,000 - 70,000 = Zero

as total dividend distributed in year 1 is insufficient for cumulative preferred stock therefore no dividend will be paid on common stock.

For year 2:

Dividend on cumulative preferred stock;

\frac{6000000 * 2}{100}= $120000

extra dividend of year 1 ($120000 - $70000) = $50000

Thus total dividend on cumulative preferred stock

($120000 + $50000) = $170000

So dividend per share

\frac{170000}{40000\ shares}= $4.25 per share

Dividend on common stock;

($200000 – $170000) = $30000

dividend per share

\frac{30000}{100000\ shares} = $0.3 per share

For year 3:

Dividend on cumulative preferred stock;

\frac{6000000 * 2}{100} = $120000

total dividend on cumulative preferred stock $120000

dividend per share

\frac{120000}{40000 shares} = $3 per share

No dividend was extra in the year 2 therefore only available dividend of this year will be paid.

Dividend on common stock;

($320000 – $120000) = $200000

dividend per share

\frac{200000}{100000\ shares}= $2 per share

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Answer:

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Step-by-step explanation:

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x-3y=7      Equation:1

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x+y=3      

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Putting the vale of 'x' in Equation:1

                             x-3y=7

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Subtracting '3' both sides

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The solution of the equations is :

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Answer:

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