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Mama L [17]
3 years ago
5

The altitude of an equilateral triangle is 22 inches. Find the perimeter of the equilateral triangle. Leave answer as a simplifi

ed radical.
Mathematics
1 answer:
torisob [31]3 years ago
3 0

The perimeter of the equilateral triangle will be 76.2 in

<u>Explanation:</u>

Altitude of an equilateral triangle, H = 22 in

Perimeter, p = ?

Let a be the side of the triangle

We know:

H = \frac{a\sqrt{3} }{2} \\\\22 = \frac{a\sqrt{3} }{2} \\\\a = 25.4 in

Perimeter = 3a

P = 3 X 25.4 in

P = 76.2 in

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The total monthly profit for a firm is P(x)=6400x−18x^2− (1/3)x^3−40000 dollars, where x is the number of units sold. A maximum
wlad13 [49]

Answer:

Maximum profits are earned when x = 64 that is when 64 units are sold.

Maximum Profit = P(64) = 2,08,490.666667$

Step-by-step explanation:

We are given the following information:P(x) = 6400x - 18x^2 - \frac{x^3}{3} - 40000, where P(x) is the profit function.

We will use double derivative test to find maximum profit.

Differentiating P(x) with respect to x and equating to zero, we get,

\displaystyle\frac{d(P(x))}{dx} = 6400 - 36x - x^2

Equating it to zero we get,

x^2 + 36x - 6400 = 0

We use the quadratic formula to find the values of x:

x = \displaystyle\frac{-b \pm \sqrt{b^2 - 4ac} }{2a}, where a, b and c are coefficients of x^2, x^1 , x^0 respectively.

Putting these value we get x = -100, 64

Now, again differentiating

\displaystyle\frac{d^2(P(x))}{dx^2} = -36 - 2x

At x = 64,  \displaystyle\frac{d^2(P(x))}{dx^2} < 0

Hence, maxima occurs at x = 64.

Therefore, maximum profits are earned when x = 64 that is when 64 units are sold.

Maximum Profit = P(64) = 2,08,490.666667$

6 0
3 years ago
2[5+2(8-6)] I need help
Sergeu [11.5K]
2[5+2(8-6)]
2[5+2(2)]
2[5+4]
2[9]
18
7 0
3 years ago
Read 2 more answers
V+6=92 solve for v
inysia [295]

Answer:

v = 86

Step-by-step explanation:

v + 6 = 92

v + 6 = 92

   -6      -6

v = 86

3 0
3 years ago
Read 2 more answers
Does (2, -1) make this a true statement? Why or why not?<br> 3x + 2y = 4
kvv77 [185]

Answer: Yes

Step-by-step explanation:

So a coordinate pair is always set up (x,y) so you plug the x term in the coordinate pair into the x in the equation and the y term in for the y. 3×2 + 2×-1. Multiply them together and you end up with 4.

3 0
3 years ago
Round 287.9412 to the nearest tenth. Do not write extra zeros.
goldenfox [79]
Salutations!

<span>Round 287.9412 to the nearest tenth. 

Lets solve this!

To round to the nearest tenth, you need to know the tenth place--------

In the number, 287.9412, nine is in the tenth place. You need also make sure whether the number next to 9 is greater than 5 or not. 

</span><span>287.9412 =287.941=287.94=287.9=288=290

Thus, your answer is 290.

Hope I helped.
</span>
3 0
3 years ago
Read 2 more answers
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