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Greeley [361]
1 year ago
12

5. The measures of angles of hexagon are 4x, 5x, 6x, 7x, 8x and 9x. Calculate the size of the largest angle

Mathematics
1 answer:
Amiraneli [1.4K]1 year ago
3 0

Answer:

166 2/13 deg

Step-by-step explanation:

The sum of the measures of the interior angles of a convex polygon of n sides is 180(n - 2).

A hexagon has 6 sides, so n = 6.

sum of measures of angles = 180(n - 2) = 180(6 - 2) = 180(4) = 720

4x + 5x + 6x + 7x + 8x + 9x = 720

39x = 720

x = 720/39

x = 240/13

The largest angle has measure 9x.

9x = 9 * 240/13 = 2160/13

2160/13 = 166 2/13

Answer: 166 2/13 deg

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A solar panel dealer acquires is used panel for $9,000, with terms FOB shipping point. Compute total inventory cost assigned to
malfutka [58]

Answer:

Total inventory cost is $9,965.

Step-by-step explanation:

The terms free on board FOB shipping point implies that the delivery of a good is taken by the buyer after it left the supplier's shipping dock. Therefore, any other relevant cost incurred afterwards will be paid by the buyer.

From the all the cost listed in the question, the $1,500 for sales staff salaries, $110 for online advertising, and $300 for lawn care are NOT related to the inventory cost because they are administrative and sales expenses.

Therefore, the total inventory cost can be calculated using the following relevant cost:

Acquisition cost = $9,000

Transportation-in by train = $280

Shipping insurance = $135

Used panel restoration = $550

Therefore, we have:

Total inventory cost = Acquisition cost + Transportation-in by train + Shipping insurance + Used panel restoration = $9,000 + $280 + $135 + $550 = $9,965.

3 0
1 year ago
Select the expressions that are equivalent to 18m - 12.
krok68 [10]

Answer:

All the expressions other than option E, is equivalent to the expression 18m - 12.

Step-by-step explanation:

A. 6m - 4 + 6m -4 + 6m - 4

or 6m+6m+6m -4 -4 -4

or 18m -12

B. 12m + 6 - 6m -6

or 12m - 6m + 6 - 6

or 6m

C.6(3m - 2)

or 18m - 12

D.3(6m - 4)

or 18m - 12

E. 24n - 4² + 8 -6m

This option can not satisfy the given expression as it contains another variable as n.

4 0
2 years ago
Which expression represents the total perimeter of her sandwich, and if x = 1.2, what is the approximate length of the crust?
soldi70 [24.7K]
The answer to this question is choice option letter C
7 0
2 years ago
Read 2 more answers
Carl bought some stock at $25 a share it increased 1 1/2 times its value. How much is the stock per share ?
jolli1 [7]

Answer: $37.50 per share


Step-by-step explanation:


Take the difference in the final price and the original price. Divide by the original price and multiply by 100.

37.5-25= 12.5

12.5/25= .50

.50*100= 50%

The other answers are $12.50 per share, and

The new stock is worth $37.50 per share.


4 0
2 years ago
Read 2 more answers
An ice cream store has two new flavors: Fantasy and Ecstasy. Each barrel of Fantasy requires 4
Y_Kistochka [10]

Answer:

  • Fantasy: 3 barrels
  • Ecstasy: 1 barrel

Step-by-step explanation:

<u>Given</u>

  Fantasy uses 4 lb of nuts, 3 lb of chocolate, for a profit of $50

  Ecstasy uses 4 lb of nuts, 1 lb of chocolate, for a profit of $40

  In stock are 16 lb of nuts, 10 lb of chocolate

<u>Find</u>

 amount of each to maximize profit

<u>Solution</u>

Let x and y represent barrels of Fantasy and Ecstasy, respectively. Then the limitations on production are ...

  4x +4y ≤ 16 . . . lb of nuts

  3x +y ≤ 10 . . . . lb of chocolate

We want to maximize

  50x +40y

The graph shows the feasible region. Its vertices are ...

  (0, 4), (3, 1), (3.33, 0)

Profit is maximized at $190 when production is 3 barrels of Fantasy and 1 barrel of Ecstasy.

8 0
2 years ago
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