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serg [7]
3 years ago
7

The base of a triangular pyramid is a triangle with a base of 4 inches and a height of 3.5 inches. The height of the triangular

pyramid is 3.3 inches. What is the volume of the triangular pyramid?
Mathematics
1 answer:
bagirrra123 [75]3 years ago
3 0
The formula of a triangular pyramid is : 1/3(base)(hight of base)(height)

In this case, the equation will be:
1/3(4×3.5)(3.3)
=1/3(14)(3.3)
=15.4 inches^3

Thus the volume would be 15.4 inches^3

Hope it helps!
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A bakery finds that the price they can sell cakes is given by the function p = 580 − 10x where x is the number of cakes sold per
dexar [7]

Answer:

The total revenue is TR=580x-10x^2.

The marginal revenue is MR=580-20x.

The fixed cost is $900.

The marginal cost function is MC=50x+300.

Step-by-step explanation:

The Total Revenue (TR) received from the sale of x goods at price p is given by

                                                         TR=p\cdot x

The Marginal Revenue (MR) is the derivative of total revenue with respect to demand and is given by

                                                       MR=\frac{d(TR)}{dx}

From the information given we know that the price they can sell cakes is given by the function p=580-10x, where x is the number of cakes sold per day.

So, the total revenue is

TR=(580-10x)\cdot x\\TR=580x-10x^2

And the marginal revenue is

MR=\frac{d}{dx}(580x-10x^2) \\\\\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'\\\\MR=\frac{d}{dx}\left(580x\right)-\frac{d}{dx}\left(10x^2\right)\\\\MR=580-20x

The Fixed Cost (FC) is the amount of money you have to spend regardless of how many items you produce.

The Marginal Cost (MC) function is the derivative of the cost function and is given by

                                                   MC=\frac{d(TC)}{dx}

We know that the total cost function of the company is given by C=(30+5x)^2, which it is equal to

\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a+b\right)^2=a^2+2ab+b^2\\a=30,\:\:b=5x\\\\\left(30+5x\right)^2=30^2+2\cdot \:30\cdot \:5x+\left(5x\right)^2=25x^2+300x+900\\\\C=25x^2+300x+900

From the total cost function and applying the definition of fixed cost, the fixed cost is $900.

And the marginal cost function is

MC=\frac{d}{\:dx}\left(25x^2+300x+900\right)\\\\MC=\frac{d}{dx}\left(25x^2\right)+\frac{d}{dx}\left(300x\right)+\frac{d}{dx}\left(900\right)\\\\MC=50x+300+0=50x+300

4 0
3 years ago
What is the difference between a right, acute, and obtuse triangle?
kakasveta [241]

A right triangle has one angle that's 90° and a corner that looks like an L. Obtuse triangles have one angle that's greater than 90°. In acute triangles, all the angles are less than 90°.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Need help please anyone
Dafna11 [192]

Answer:

70°

Step-by-step explanation:

The minor angle of AB forms a straight line with angle x. When summed up it equals 180°.

minor angle of AB + x° = 180°

110° + x° = 180°

x° = 180° - 110°

= 70°

Enjoy!!!

5 0
3 years ago
3x^2+24x+9=0 in vertex form (completing the square)
Drupady [299]

Answer:

I tried everything and either I'm doing it wrong or you wrote this wrong

Step-by-step explanation:

6 0
3 years ago
Use the Distributive Property to write equivalent expressions for each of the following
sergij07 [2.7K]
(5x6) + (5x) (hope this helps!)
6 0
3 years ago
Read 2 more answers
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