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ICE Princess25 [194]
3 years ago
14

Which expression can be used to find the surface area of the following square pyramid? I DONT KNOW HOW TO PUT A PHOTO ON PC!!! b

ut it has 4 as the base and 3 as the height PLEASE HELP
Mathematics
1 answer:
chubhunter [2.5K]3 years ago
7 0

Answer:

40 or 16+6+6+6+6

Step-by-step explanation:

To find the surface area of a 3d figure, we can imagine all of its faces laid down on a flat plane. In this case, we would have a square, and four congruent triangles. Now all we have to do is find the areas of each shape and add them up.

4 is the base of the pyramid, so it's also the square's side length. Since a square has four equal sides, our square's length and width are both 4.

4*4 = 16

For every triangle we have, the base is 4 and the height is 3. The area of a triangle can be found using the formula A=(bh)/2. We plug in the values:

A = (4*3)/2

A = (12)/2

A = 6

Since we have 4 triangles, the surface area is:

16+6+6+6+6 = 40

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| x - 1 | = 5x + 10<br> Check for extraneous solutions.
Ronch [10]
[x-1]=5x+10

We have two equations:
1) x-1=5x+10

x-1=5x+10
x-5x=10+1
-4x=11
x=-11/4

2) x-1=-(5x+10)

x-1=-(5x+10)
x-1=-5x-10
x+5x=-10+1
6x=-9
x=-9/6=-3/2

we have two  possible solutions:
solution₁;       x=-11/4
solution₂:       x=-3/2

we check it out:
1) x=-11/4
[x-1]=5x+10
[-11/4  - 1]=5(-11/4)+10
[(-11-4)/4]=-55/4  + 10
[-15/4]=(-55+40) /4
15/4≠-15/4   This solution don´t work.

2) x=-3/2
[x-1]=5x+10
[-3/2  - 1]=5(-3/2)+10
[(-3-2)/2]=-15/2  + 10
[-5/2]=(-15+20)/2
5/2=5/2; this solution works.

Therefore:

Answer: x=-3/2.
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