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Blizzard [7]
3 years ago
12

Which is a right triangle formed using a diagonal through the interior of the cube? A cube. The top face has points G, B, C, F a

nd the bottom face has points H, A, D, E. triangle BDH triangle DCB triangle GDC triangle GHE

Mathematics
2 answers:
S_A_V [24]3 years ago
8 0

Answer: The answer would be  1,3,5,7 that’s is if u ar using edgen unity

Step-by-step explanation:

cuz i got the answer sum where else

Black_prince [1.1K]3 years ago
6 0

Answer: The correct option is triangle GDC

Step-by-step explanation: Please refer to the picture attached for further details.

The dimensions give for the cube are such that the top surface has vertices GBCF while the bottom surface has vertices HADE.

A right angle can be formed in quite a number of ways since the cube has right angles on all six surfaces. However the question states that the diagonal that forms the right angle runs "through the interior."

Therefore option 1 is not correct since the diagonal formed in triangle BDH passes through two surfaces. Triangle DCB is also formed with its diagonal passing only along one of the surfaces. Triangle GHE is also formed with its diagonal running through one of the surfaces.

However, triangle GDC is formed with its diagonal passing through the interior as shown by the "zigzag" line from point G to point D. And then you have another line running from vertex D to vertex C.

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Factor the expression using the two different techniques listed for Parts 1(a) and 1(b).
Natalija [7]

Answer:

9a^4 b^10(2 +3a^6 b^5)  (2 -3a^6 b^5)

see work below

Step-by-step explanation:

36a^4b^10 - 81a^16b^20

A)  find the GCF

36a^4b^10 = 4*9 a^4b^10  = 2*2*3*3 a*a*a*a*b*b*b*b*b*b*b*b*b*b

81a^16b^20= 9*9a^16b^20= 3*3*3*3* a*a*a*a*a*a*a*a*a*a*a*a*a*a*a*a                *b*b*b*b*b*b*b*b*b*b*b*b*b*b*b*b*b*b*b*b

The terms that appear in both terms is the GCF.  The terms that remain are inside the parentheses.

The GCF is 3*3 a*a*a*a*b*b*b*b*b*b*b*b*b*b

36a^4b^10 - 81a^16b^20 = 3*3 a*a*a*a*b*b*b*b*b*b*b*b*b*b *

( 2*2 - 3*3a*a*a*a*a*a*a*a*a*a*a*a b*b*b*b*b*b*b*b*b*b)

Combining like terms

36a^4b^10 - 81a^16b^20 = 9a^4b^10(4-9a^12b^10)

The expression inside the parenthesis can be factored using the difference of squares

let x^2 =4   x =2  

y^2 = 9a^12 b^10   y = 3a^6b^5

(x^2 -y^2) = (x+y)(x-y)

9a^4b^10(4-9a^12b^10) = 9a^4b^10 ( 2+3a^6b^5) ( 2-3a^6b^5)

b) difference of squares  a^2 – b^2 = (a + b)(a – b)

let a^2 = 36a^4b^10

so a = 6a^2b^5

b^2 = 81a^16b^20

b = 9a^8 b^10

a^2 – b^2 = (a + b)(a – b)

36a^4b^10 - 81a^16b^20 = (6a^2b^5 +9a^8 b^10) (6a^2b^5 -9a^8 b^10)

We can factor a 3 a^2 b^5 out of the first term

3 a^2 b^5 (2 +3a^6 b^5) (6a^2b^5 -9a^8 b^10)

3 a^2 b^5 (2 +3a^6 b^5) 3 a^2 b^5 (2 -3a^6 b^5)

Multiply the terms outside the parentheses together

9a^4 b^10(2 +3a^6 b^5)  (2 -3a^6 b^5)

4 0
3 years ago
Read 2 more answers
a machine in a candy company creates 512 pieces of candy a minute it's a small box of candy has 38 pieces in it how many full bo
julsineya [31]

512/38 = 13 18/38

13 9/19

It makes 13 full boxes of candy per minute

8 0
3 years ago
I wrote a song and i am single and bored
Sindrei [870]

Answer:

i like the song

Step-by-step explanation:

<3

6 0
3 years ago
Read 2 more answers
Can someone just explain pre-image and image to me? ​
user100 [1]

Answer: in doing transformations, the pre-image is the image you start with. The task is to move the pre-image so that it is contiguous with the (target) image. This is typically done by translation, rotation or reflection or a combination of those moves.

Hope that helps

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Joseph wants to cover a rectangular box with wrapping paper. The length of the box is 2 feet, its width is 1 foot, and its heigh
vesna_86 [32]
We need to find the surface area of the box. For this, we will do 2(L×W) + 2(L×H) + 2(H×W); Since each has a corresponding side, we multiply it by 2.
Let's find it with plugging it in. 
2(2×1) + 2(2×1) + 2(1×1)
4+4+2=10
Now the surface area is 10 ft², let's just multiply .8 by that to find the price.
.8×10= 8
It'll cost $8 for Joseph to cover the box with wrapping paper.
Tell me if this helps!!
6 0
3 years ago
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