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love history [14]
2 years ago
12

The interior angles of a hexegon are in the ratio 3:3:4:5:6:7. Find; (a) The size of the smallest angle. (b) The size of the lar

gest angle​
Business
1 answer:
stiks02 [169]2 years ago
4 0

Answer: (a) 77\dfrac17^{\circ}  (b) 180°

Explanation:

Sum of interior angles of a polygon with n-sides: (n-2)\times180^{\circ}

In hexagon, total sides: n =6

Given: The interior angles of a hexagon are in the ratio 3:3:4:5:6:7.

Let the angles be 3x , 3x, 4x, 5x, 6x, 7x

Then,

3x+3x+4x+5x+6x+7x=(6-2)\times180^{\circ}\\\\\Rightarrow\ 28x=4\times 180\\\\\\\Rightarrow\ x=\dfrac{4\times180}{28}\\\\\Rightarrow\ x=25\dfrac{5}{7}^{\circ}

Smallest angle= 3x = 3\times \dfrac{180}{7}=77\dfrac17^{\circ}

Largest angle = 7x =7\times\dfrac{180}{7}=180^{\circ}

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2 years ago
Read 2 more answers
Solomon Services Company has 69 employees, 29 of whom are assigned to Division A and 40 to Division B. Solomon incurred $413,310
Nitella [24]

Answer:

  • Division A - $173,710
  • Division B - $239,600

Explanation:

First determine the fringe benefits per employee for the whole company;

= 413,310 / 69

= $5,990 per employee

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3 years ago
Suppose the government introduces a new incentive for individuals to save money for retirement. How would this affect the market
masya89 [10]

The supply of loanable funds would increase and interest rates would fall.

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This will result in a rise in the amount of loanable money available (shift to the right.) The interest rate at equilibrium will decrease. People and businesses will have more motivation to borrow as the interest rate declines, pushing up the demand curve and increasing the equilibrium amount of borrowing and lending in the market.

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1 year ago
Which relationship might suggest a heightened risk of fraud in the acquisition and payment cycle? a. Unexpected increases in the
masha68 [24]

Answer:

The correct answer is letter "A": Unexpected increases in the number of suppliers.

Explanation:

Frauds or money cleansing usually requires the help of a network of different business interconnected to clear the illegal funds with the excuse of having made commercial activities that never took place. In most cases, accounting documents are faked so that the proceeds of the questionable funds may seem as legal as possible.

In that case, if a company counts with more suppliers and fraud is taking place in the organization, <em>they will have the excuse of making more payments so more funds can go out of the company</em>.

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3 years ago
Let RUS be the annual risk free rate in the United States, RUK be the risk free rate in the United Kingdom, F be the futures pri
jeka57 [31]

Answer:

If RUS > RUK, then E < F ( C )

Explanation:

RUS = annual risk free rate in united states

RUK = annual risk free rate in United kingdom

F = futures price of $/BP  for 1 year

E = spot exchange rate for $/BP

To get a higher the future price

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The annual risk free rate of the united states must be higher than the annual risk free rate of the united kingdom. if this condition is met then the the British pound will have a forward premium ( F ) > ( E )

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3 years ago
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