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Karo-lina-s [1.5K]
2 years ago
11

Two different cross sections are taken parallel to the base of a three-dimensional figure. The two cross sections are the same s

hape, but are not congruent.
Which could be the three-dimensional figure? Select three options.

cone
cylinder
triangular prism
triangular pyramid
square pyramid
Mathematics
2 answers:
Ilia_Sergeevich [38]2 years ago
6 0
<h2>Answer:</h2>

A. cone

D. triangular pyramid

E. square pyramid

(Look at the photo at the bottom.)

<h2>Step-by-step explanation:</h2>

First, know what a cross section is. A cross section is the exposed shape or surface when a straight cut is made through a 3D figure. For example, if I make a cross section, or cut, through a sphere, the cross section will be a circle. The newly exposed surface is in the shape of a circle.

We want to know which 3D figures can make 2 different cross sections, parallel to the base, that are congruent. Congruent means <em>same shape but different size.</em> <em>Parallel to the base</em> means the cut is completely horizontal.

  • A cone is one, because no matter where you horizontally cut this, the cross section will always be a circle, but different sizes.
  • A triangular pyramid is another, because no matter where you horizontally cut this, the cross section will always be a triangle, but different sizes.
  • A square pyramid is another, because no matter where you horizontally cut this, the cross section will always be a square, but different sizes.

Here's a photo of Edge incase you're doubtful.

Vlad [161]2 years ago
5 0

Answer:

<u>A. </u>Cone

<u>D. </u>Triangular Pyramid

<u>E. </u>Square Pyramid

Explanation:

A cone is one, because no matter where you horizontally cut this, the cross section will always be a circle, but different sizes.

A triangular pyramid is another, because no matter where you horizontally cut this, the cross section will always be a triangle, but different sizes.

A square pyramid is another, because no matter where you horizontally cut this, the cross section will always be a square, but different sizes.

Hope this helps! :)

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Find the values of x and y that maximize the objective function P=3x+2y for the graph. What is the maximum value?
AURORKA [14]

Answer:

(9, 0)

Step-by-step explanation:

Maximum or minimum value occurs at the Corner. The points given are (0, 8), (5, 4) and (9, 0).

Substitute (0, 8) in the objective function.

We get P = 3(0) + 2(8) = 16

Now for (x , y) = (5, 4)

P = 3(5) + 2(4) = 15 + 8 = 23

At (9, 0) we get P = 3(9) + 2(0) = 27.

Clearly, we have the maximum value at (9, 0).

And the maximum value is 27.

3 0
3 years ago
The average of p, q, and r is 40. The average of a, b, c, and d is 5. What is the average of a, b, c, d, p, q, and r?
Pachacha [2.7K]

Answer:

20

Step-by-step explanation:

Average = sum of numbers divided by number of numbers

sum of p q and r: 40*3=120

sum of a b c and d: 5*4=20

sum of a b c d p q r: 120+20=140

average of a b c d p q r: 140/7, or 20

3 0
3 years ago
The total cost of a shirt and a pair of pants was
jok3333 [9.3K]

Answer:

$38.54

Step-by-step explanation:

S+(S+$7.24)=$84.32

Step 1. 84.32-7.24=77.08

Step 2. 77.08÷2=38.54

6 0
3 years ago
Use formulas to find the lateral area and surface area of the given prism. Round
tatuchka [14]

Answer:

136 m²: 188 m²

Step-by-step explanation:

I think your question missed key information, allow me to add in and hope it will fit the orginal one. Please have a look at the attached photo

My answer:

Given the information:

  • The height: 4m
  • The lenght: 13m
  • The width 4m

The lateral area:

As we know, the  lateral area can be  calculated by the following formula:

= the perimeter of the base* the height

= (13 + 4 + 13 + 4)*4

= 136 m²

The surface area:

As we know, the  lateral area can be  calculated by the following formula:

= The lateral area +  thhe base area + the top area

= 136  +  13*4 + 13*4

= 136 + 52 + 52

= 240 m2

3 0
3 years ago
To find 12÷ 3/5 we rewrite 12 as PLEASE HELP​
Karo-lina-s [1.5K]

Answer:

The twelve can be rewritten as: n = 3 5 × 12 1. Now, we can multiply the numerators and denominators: n = 3 ×12 5 × 1. n = 36 5.

Step-by-step explanation:

4 0
3 years ago
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