D Identify the coordinates of point E. A 1-2-3) B (-2.3) C (3, 2) D (-3.-2

Use the following image to answer the questions below. The base is a regular pentagon and the vertex is directly above the cente

levacccp [35]

a. The lateral area is the area of 5 congruent triangles. The strategy for computing their area will depend on the dimensions given. There are methods for computing triangle area based on side lengths, base length and height, coordinates of the points, and other dimensions. One straightforward way, given the appropriate dimensions is to multiply the slant height by the perimeter of the base, then divide that product by 2.

The base area is that of 5 congruent triangles. Again, their total area can be computed from half the product of the perimeter of the base and the apothem (height of the triangle).

The total surface area is the sum of lateral area and base area.

For example, given the apothem of the base (a) and the slant height of the side face (s), the total surface area (A) will be

... A = 5·a·tan(36°)·(a + s)

b. The volume is conventionally calculated as 1/3 of the product of the base area (B) and the height (h).

... V = (1/3)Bh

c. The volume of a prism with the same base area and height will be

... V = Bh

The volume of a pyramid is 1/3 of that.

d. A plane can intersect this pyramid to form a triangle, rectangle, trapezoid or other irregular quadrilateral, pentagon, or hexagon. The number of edges the cross-section has depends on the number of faces (including the base) the plane cuts. That number can be 3 through 6.

7 0

3 years ago

WILL MARK BEST ANSWER!! PLEASE HELP On a piece of paper, draw a box plot to represent the data below. Then

zlopas [31]

The answer is A:

Because the only difference between the rest of the answer choices are the lower and upper quartiles, that is all you need to find. In order to do so you find the median for the first half (lower quartile) and then find the median for the second half. In this case it is 29 (Q1) and 58 (Q2)

4 0

3 years ago

Write out the sample space for the given experiment. Use the following letters to indicate each choice: O for olives, M for mush

tigry1 [53]

Answer:

Sample Space = {(OSI), (OSH), (OEI), (OEH), (MSI), (MSH), (MEI), (MEH)}

Step-by-step explanation:

Given

Salad Meats Dressings

O = Olives S = Shrimp I = Italian

M = Mushroom E = Egg H = Honey mustard

To determine the sample space, we simply select one from each column.

Take for instance, a combination of Olives, Shrimp and Italian will be represented as: OSI

So, the following sample space exists:

Sample Space = {(OSI), (OSH), (OEI), (OEH), (MSI), (MSH), (MEI), (MEH)}

3 0

3 years ago

Mrs. Gomez is a mother to 2 boys. The number of children she has is three times the number of boys she has. Her children are pla

stiks02 [169]

2*3=6 children Mrs Gomez has

6-2= 4 girls she has

pink carnations/ blue carnations= 4/2=2
⇒ numbers of pink carnations= 2* blue carnations

⇒ 12 pink carnations and 6 blue carnations

5 0

3 years ago

Read 2 more answers

Please help with this algebra question

zhenek [66]

We have
-2x-3y <12
For this case what you should do is to graph the following straight line:
-2x-3y = 12
Then, the solution will be the shaded region that satisfies the following inequality:
-2x-3y <12
In the shaded region you will find all the solution points.
Answer:
See attached image

7 0

3 years ago