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photoshop1234 [79]
2 years ago
10

What is the area of an equilateral triangle that has a perimeter of 36 centimeters? round to the nearest square centimeter. 15 s

quare centimeters 25 square centimeters 62 square centimeters 72 square centimeters
Mathematics
1 answer:
alina1380 [7]2 years ago
8 0

The area of an equilateral triangle with perimeter of 36 centimetres is 62 centimetre squared.

<h3>What is an equilateral triangle?</h3>

An equilateral triangle is a triangle that has all its sides and angles equal to each other.

Therefore,

perimeter = 36 cm

Each side = 36 / 3  = 12 cm

Hence,

area  = 1 / 2 bh

h² = 144 - 36

h = √108

h = 10.3923048454

h = 10.4

Hence,

area = 1 / 2 × 12 × 10.4

area of the equilateral triangle = 124.8 / 2

area of the equilateral triangle = 62.4

area of the equilateral triangle = 62 cm²

learn more on equilateral triangle here: brainly.com/question/10612194

#SPJ4

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Step-by-step explanation:

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3 years ago
If a monopolist supplies goods at a price; P = 170 - Q, with marginal cost; MC = 52. Find the quantity and price
Arada [10]

Answer:

Quantity = 59 units

Price = $111

Step-by-step explanation:

The Demand function is given by

P = 170 - Q

The Marginal cost is given by

MC = 52

We are asked to find the quantity and price of goods.

Firstly, obtain the Marginal revenue function from the demand function

The Total revenue is given by

TR = P \times Q \\\\TR = (170 - Q) \times Q \\\\TR = 170Q - Q^2

The Marginal revenue is the derivative of the Total revenue,

MR = \frac{d}{dQ} (TR) = 170Q - Q^2 \\\\MR = \frac{d}{dQ} (TR) = 170 - 2Q \\\\

Assuming that the monopolist maximizes profits,

MR = MC \\\\170 - 2Q = 52\\\\2Q = 170 - 52\\\\2Q = 118\\\\Q = 118/2\\\\Q = 59

Therefore, the quantity is 59 units.

The price of each good is

P = 170 - Q \\\\P = 170 - 59 \\\\P = 111

Therefore, the price is $111.

3 0
3 years ago
Reasoning : Why is the numerator greater than
Digiron [165]

Answer:

See the explanation

Step-by-step explanation:

When the numerator is less than the denominator, the result is always less than 1, that is 0. something and this will give a percentage less than 100, but when the numerator is greater than the denominator, th result is greater than 1, and any figure greater than 1 gives a percentage that is greater than 100

example

Numerator >Denominator

=4/2*100

=2*100

=200%

Numerator <Denominator

=2/4*100

=0/5*100

=50%

5 0
2 years ago
Solve the system of equations.<br> <img src="https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7By%3D220x-160%7D%20%5Catop%20%7By%3
Leni [432]

\begin{cases} y=220x-160\\ y=20x^2-400 \end{cases}\qquad \qquad \stackrel{\textit{substituting on the 2nd equation}}{\stackrel{\textit{\Large y}}{220x-160}~~ = ~~20x^2-400} \\\\\\ -160=20x^2-220x-400\implies 0=20x^2-220x-240 \\\\\\ 0=20(x^2-11x-12)\implies 0=x^2-11x-12 \\\\\\ 0=(x-12)(x+1)\implies x= \begin{cases} 12\\ -1 \end{cases}

\dotfill\\\\ x=12\qquad \qquad \stackrel{\textit{substituting on the 1st equation}}{y=220(12)-160}\implies y=2480 \\\\\\ x=-1\qquad \qquad \stackrel{\textit{substituting on the 1st equation}}{y=220(-1)-160}\implies y=-380 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (12~~,~~2480)\qquad (-1~~,~~-380)~\hfill

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2 years ago
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