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3 years ago

1. Essential question: how do you classify and represent solid figures?

Mathematics

2 answers:

Gnesinka [82]3 years ago

7 0

Answer:

Solid figures are three-dimensional objects, meaning they have length, width, and height. Because they have three dimensions, they have depth and take up space in our universe. Solid figures are identified according to the features that are unique to each type of solid. Specifically, you can observe the numbers of faces, edges, and vertices, as well as the shape of the base.

The flat surfaces of a solid figure are its faces, or sides as they are commonly called. The base is the face on which the figure rests. The edge of a solid figure is the line segment where two faces meet. A vertex (plural: vertices) is the corner that is formed where the ends of the line segments of two or more faces meet.

A sphere is a solid figure that has no faces, edges, or vertices. This is because it is completely round; it has no flat sides or corners.

A cone has one face, but no edges or vertices. Its face is in the shape of a circle. Because a circle is a flat, plane shape, it is a face. But because it is round around the outside, it does not form any edges or vertices.

A cylinder has two circular faces but also no edges or vertices.

A pyramid has one base and at least three triangular faces. It has edges where faces meet each other or the base, vertices where two faces meet the base, and a vertex at the top where all of the triangular faces meet. A pyramid is named by the shape of its base.

A triangular pyramid has a triangle-shaped base and three other triangular faces, or four in all.

A rectangular pyramid has a rectangle-shaped base and a square-based pyramid has a square-shaped base. They both have four triangular faces, five faces in all.

A prism is a solid figure that has two congruent parallel faces and any number of sides. In other words, it can have any number of faces, but at least two of them must be parallel. The shape of the two parallel faces can be a triangle, square, rectangle, pentagon, hexagon, or any other kind of polygon. Prisms are named by the shape of their bases.

Hope this helped you :)

nignag [31]3 years ago

3 0

Answer:

solid figures are three-dimensional objects, meaning they have length, width, and height.

The flat surfaces of a solid figure are its faces, or sides as they are commonly called.

A sphere is a solid figure that has no faces, edges, or vertices.

A cone has one face, but no edges or vertices.

Step-by-step explanation:

Plz give me Brainliest if my answer is correct

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A scuba diving company currently charges $100per dive. On average, there are 30 customers per day. The company performed a study

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A. Total Revenue (R) is equal to price per dive (P) multiplied by number of customers (C). We can write $R=PC$ .

Per price increase is $20. So four price increase is $ $20*4=$80$ . Hence, price per dive is 100+80=$180.

Also per price increase, 2 customers are reduced from 30. For 4 price increases, $4*2=8$ customers are reduced. Hence, total customers is $30-8=22$ .

So Total Revenue is:

$R=180*22=3960$

B. Each price increase is 20. So x price increase is 20x. Hence, new price per dive would be equal to the sum of 100 and 20x.

Also per price increase, customers decrease by 2. So per x price increases, the customer decrease is 2x. Hence, new number of customers is the difference of 30 and 2x.

Therefor we can write the quadratic equation for total revenue as the new price times the new number of customers.

$R=(100+2x)(30-2x)=-40x^{2}+400x+3000$

C. We are looking for the point (x) at which the equation modeled in part (B) gives a maximum value of revenue (y). That x value is given as $x=-\frac{b}{2a}$ , where a is the coefficient of $x^{2}$ and b is the coefficient of x. So we have,

$x=-\frac{b}{2a}=- \frac{400}{(2)(-40)}=5$

That means, the greatest revenue is achieved after 5 price increases. Each price increase was 20, so 5 price increase would be $5*20=100$ . So the price that gives the greatest revenue is $100+100=200$ .