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Harlamova29_29 [7]
3 years ago
10

The diagram shows a regular dodecagon. Work out the size of one interior angle

Mathematics
2 answers:
lidiya [134]3 years ago
5 0

Answer:

150

Step-by-step explanation:

taurus [48]3 years ago
4 0

9514 1404 393

Answer:

  150°

Step-by-step explanation:

The size of one interior angle of a regular n-gon is ...

  interior angle = 180° - 360°/n

For n=12, this measure is ...

  = 180° -360°/12 = 180° -30°

  interior angle = 150°

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3 years ago
An aircraft manufacturer wants to determine the best selling price for a new airplane. The company estimates that the initial co
Ad libitum [116K]

Answer:

The cost function is simply the initial cost plus the manufacturing cost.

C(x)=500+20x-5x^3/4+0.01x^2

The demand function was given to us.

p(x)=320-7,7x

The revenue function is simply x multiplied by the demand function.

R(x)=xp(x)=320x-7.7x^2

We find that when 20 planes are produced, that profit is currently maximized

We know that to maximize profit, marginal revenue must equal marginal cost.

C'(x)=20-15/4x^-1/4+0.02x

R'(x)=320-15.4x

x=19,57

We find that when 20 planes are produced, that profit is currently maximized.

Step-by-step explanation:

An aircraft manufacturer wants to determine the best selling price for a new airplane. The company estimates that the initial cost of designing the airplane and setting up the factories in which to build it will be 500 million dollars. The additional cost of manufacturing each plane can be modeled by the function: , where x is the number of aircraft produced and m is the manufacturing cost, in millions of dollars. The company estimates that if it charges a price p (in millions of dollars) for each plane, it will be able to sell  planes.

(a) Find the cost, demand, and revenue functions.

(b) Find th eproduction level and the associated selling price of the aircraft that maximizes profit.

3 0
3 years ago
If a dozen chicken eggs costs $1.50 how much would 4 eggs cost?
Ivenika [448]
1.50 / 4 = .50  ,   $.50  for 4 eggs
4 0
3 years ago
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PLS HELP DUE IN 1 HOUR <br><br> write the expression using positive exponents <br> 1/3^-5
drek231 [11]
<h3>Answer:   3^5</h3>

Explanation:

The rule used is \left(\frac{a}{b}\right)^{-c}  = \left(\frac{b}{a}\right)^{c}

That rule says to go from a negative exponent to a positive exponent, we apply the reciprocal of the fraction.

So,

\left(\frac{1}{3}\right)^{-5} = \left(\frac{3}{1}\right)^{5} = 3^5

4 0
3 years ago
The smaller triangle was dilated to form the larger triangle. What is the value of x?
strojnjashka [21]

Answer:

The value of x is 14

Step-by-step explanation:

The value of x is 14 because the smaller triangle was dilated by 3 to get the bigger triangle. I figured this out because

9 ÷ 3 = 3

so this would mean that 5 was dilated by 3 also. So to figure this out, it would be

5 × 3 = 15

1 of that 15 is already there.

So this means that

15-1=14

A=14

I hope this helps you.

5 0
3 years ago
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