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Korolek [52]
2 years ago
15

In isosceles triangle RST below, what is the value of y?

Mathematics
2 answers:
son4ous [18]2 years ago
7 0

Answer:

y =71

Step-by-step explanation:

The sum of the angles of a triangle add to 180

y+y+38 = 180

Combine like terms

2y +38 =180

Subtract 38 from each side

2y+38-38 =180-38

2y = 142

Divide each side by 2

2y/2 =142/2

y = 71

nadezda [96]2 years ago
6 0

Answer:

71°

Step-by-step explanation:

total angle in a triangle is 180

y + y + 38 = 180

2y = 142

y = 71°

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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

3 0
3 years ago
What is 0.0004 in its standard form ?
OlgaM077 [116]
0.4x10^-3
Adding random characters here.
3 0
3 years ago
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The theatre has 4 chairs in a row. There are 5 rows. Using rows as your unit of measurement, what is the perimeter?
brilliants [131]

Answer:

Step-by-step explanation:

A theatre has 4 chair in a row; lets draw that out

Let's pretend that this is a chair: ♦

So we have 4 chairs in a row

♦ ♦ ♦ ♦

And there are 5 rows

♦ ♦ ♦ ♦

♦ ♦ ♦ ♦

♦ ♦ ♦ ♦

♦ ♦ ♦ ♦

♦ ♦ ♦ ♦

Let's find the perimeter;

4 + 5 + 4 + 5

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5 0
2 years ago
The gas tank of a 2013 Honda Accord holds 17.2 gallons. How many pounds of carbon dioxide are produced by burning an entire tank
cricket20 [7]
One gallon of gasoline (6.3 lbs.) produces about 20 lbs. of carbon dioxide. This may seem weird and untrue, however, most of that weight comes from the oxygen in the air. Following the math on this means that we multiply 17.2 gallons of gas by 20 lbs. of co2 per gallon of gas burned. 
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8 0
3 years ago
A company wants to select 1 project from a set of 4 possible projects. Which of the following constraints ensures that only 1 wi
Elza [17]

Given:

A company wants to select 1 project from a set of 4 possible projects.

Consider the options are:

a. X_1+X_2+X_3+X_4=1

b. X_1+X_2+X_3+X_4\leq 1

c. X_1+X_2+X_3+X_4\geq 1

d. X_1+X_2+X_3+X_4\geq 0

To find:

The constraints that ensures only 1 will be selected.

Solution:

It is given that the company wants to select 1 project from a set of 4 possible projects. It means the sum of selected projects must be equal to 1.

X_1+X_2+X_3+X_4=1

Therefore, the correct option is (a).

8 0
3 years ago
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