What is the name of the figure?

Mathematics

2 answers:

Serhud [2]3 years ago

4 0

That is a Triangular Prism.

Oksanka [162]3 years ago

3 0

Answer:

triangular prism

Step-by-step explanation:

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Sara is working on a Geometry problem in her Algebra class. The problem requires Sara to use the two quadrilaterals below to ans

zloy xaker [14]

Part A:

Given a square with sides 6 and x + 4. Also, given a rectangle with sides 2 and 3x + 4

The perimeter of the square is given by 4(x + 4) = 4x + 16

The area of the rectangle is given by 2(2) + 2(3x + 4) = 4 + 6x + 8 = 6x + 12

For the perimeters to be the same

4x + 16 = 6x + 12
4x - 6x = 12 - 16
-2x = -4
x = -4 / -2 = 2

The value of x that makes the perimeters of the quadrilaterals the same is 2.

Part B:

The area of the square is given by

$Area=(x+4)^2=x^2+8x+16$

The area of the rectangle is given by 2(3x + 4) = 6x + 8

For the areas to be the same

$x^2+8x+16=6x+8 \\ \\ \Rightarrow x^2+8x-6x+16-8=0 \\ \\ \Rightarrow x^2+2x+8=0 \\ \\ \Rightarrow x= \frac{-2\pm\sqrt{2^2-4(8)}}{2} \\ \\ = \frac{-2\pm\sqrt{4-32}}{2} = \frac{-2\pm\sqrt{-28}}{2} \\ \\ = \frac{-2\pm2i\sqrt{7}}{2} =-1\pm i\sqrt{7}$

Thus, there is no real value of x for which the area of the quadrilaterals will be the same.

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3 years ago

What frcation is equal to 4

Korolek [52]

The answer is D
Explanation 4 ones is 4

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2 years ago

14. What is the rate if the distance traveled is 360 miles for 6 hours?

Mekhanik [1.2K]

Answer:

Step-by-step explanation:

360/6=60

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3 years ago

Each of the walls of a room with square dimensions has been built with two pieces of sheetrock, a smaller one and a larger one.

azamat

To solve this problem you must apply the proccedure shown below:

1. You have the following information given in the problem above:

- The room has square dimensions and it has been built with two pieces of sheetrock, a smaller one and a larger one.

2. Therefore, let's call

x: the smaller one.
y: the larger one.

3. Then, you have that the lenght of the wall is the sum of the smaller one and the larger one:

x+y

4. So, the area of the room is:

(x+y)(x+y)
(x+y)²

Therefore, the answer is: (x+y)²

8 0

3 years ago

How do I get to the answer? (3 x n) + 4 = 32/2 What is the value of n?

charle [14.2K]

If you simplify what's in the bracket, you get 3n

=(3n)+4=32/2
=3n+4= 32/2(here we can either crossmultiply or equate)
3n+4-4=32/2-4(subtract 4 from both sides)
3n=32/2-4
3n=24/2
3n=12
3n=12(divide both sides by the coefficient of the unknown)
3n/3=12/3
n=4

3 0

3 years ago