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love history [14]
3 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]3 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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Thrill Rides is considering adding a new roller coaster to its amusement park. The addition is expected to increase its overall
zepelin [54]

Answer:

C. ticket sales for the new coaster.

Explanation:

In the case when the sales is reduced for the boat rise so the new rise would decrease the sales of the boat ride.

in the case when the food cost would be increase so if the sales of the food rises so automatically the food cost would rise

In the case when there is an extra sales for existing coaster, the same is mentioned in the given case

Therefore the option c is correct

4 0
3 years ago
The BCG has given specific names and descriptions to the four resulting quadrants in its growth-share matrix based on the amount
S_A_V [24]

Answer:

low market growth, high relative market share

Explanation:

In 1970, Bruce D. Henderson created a certain growth-share matrix for the Boston Consulting group in which the cash cow was stated to be a company that operates in a slow-growing industry but with large market share.

Companies are known to love cash cows, reason being that they require minimal amount of money to maintain while the business on its own gives back much more money than one puts into it

3 0
4 years ago
In 1–3 sentences, explain the role of entrepreneurs in the economy.
jenyasd209 [6]

ANSWER: There are many ways how entrepreneurs benefit the economy. Few of them are

1) Create Jobs: Entrepreneurs create jobs in the community. When someone opens a new business or expands his new business, he will need human resource to help him to do his works.

2) Wealth Creation: Entrepreneurs pool in their own money and attract investment from lenders, banks and other investors. This mobilizes public wealth.

3) Exports: Entrepreneurs after growing in their businesses will want to export their products as a part of extending their market. This will help gain foreign currency in the country.

4 0
3 years ago
Read 2 more answers
An ordinary annuity selling at $14,130.15 today promises to make equal payments at the end of each year for the next twelve year
lutik1710 [3]

Answer:

PMT = $1875.00

Explanation:

The annuity refers to a series of fixed payments made after an equal interval of time and for a definite time period. The formula for the present value of annuity is,

<u />

<u>For ordinary annuity</u>

PV of annuity = PMT * [(1 - (1+IN)^-n) / IN]

Plugging in the values for the available variables. We calculate the PMT to be,

14130.15 = PMT * [(1 - (1+0.08)^-12) / 0.08]

14130.15 = PMT * 7.536078017

14130.15 / 7.536078017   =   PMT

PMT = $1875.000493 rounded off to $1875.00

5 0
3 years ago
"The common stock of One Community Bank is currently selling for $30. The last annual dividend paid was $1.25 per share and the
Greeley [361]

Answer:

The dividend growth rate is 8%.

Explanation:

Considering the stock is the one that has a constant dividend growth, we use the DDM approach for constant growth model. The constant growth model formula for price of a stock today is,

P0 = D1 / r - g

Where,

  • D1 is the dividend in the next period or D0 * (1 + g)
  • r is the required rate of return
  • g is the growth rate in dividends

Plugging in the available value,

30 = 1.25 ( 1+g) / (0.125 - g)

30 * (0.125 - g) = 1.25 + 1.25g

3.75 - 30g = 1.25 + 1.25g

3.75 - 1.25 = 30g + 1.25g

2.5 / 31.25 = g

g = 0.08 or 8%

4 0
4 years ago
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