Answer:

Step-by-step explanation:
we know that
The surface area of the square pyramid is equal to the area of the square base plus the area of its four lateral triangular faces
so
![SA=b^{2}+4[\frac{1}{2}bh]](https://tex.z-dn.net/?f=SA%3Db%5E%7B2%7D%2B4%5B%5Cfrac%7B1%7D%7B2%7Dbh%5D)
where
b is the length side of the square base
h is the height of the triangular face
Remember that
Each lateral triangular face is a triangle 45°-90°-45°
so

we have

so

substitute in the formula
![SA=6^{2}+4[\frac{1}{2}(6)(3)]=72\ ft^{2}](https://tex.z-dn.net/?f=SA%3D6%5E%7B2%7D%2B4%5B%5Cfrac%7B1%7D%7B2%7D%286%29%283%29%5D%3D72%5C%20ft%5E%7B2%7D)
Answer:
x = - 3
y = - 2
Step-by-step explanation:
Start with the second equation. Switch
3y = 2x Divide by 3
3y/3 = 2x/3
y = 2x/3
Now go to the first equation. Put the value for y in the first equation.
x - 3(2x/3) = 3 Cancel the 3s on the left.
x - 2x = 3 Combine
-x = 3 Multiply by -1
-1(-x) = 3(-1)
x = - 3
Now go back to the original equation I have called the second equation
2x = 3y
2(-3) = 3y Put in - 3 for x
- 6 = 3y Divide by 3
-6 / 3 = y
y = - 2
Answer:
See below
Step-by-step explanation:
The three angles inside of the triangle sum to 180
11x + 4 + 3x + 78 = 180
14x +82 =180
x = 7
then B = 11x + 4 = 11(7) + 4 = 81 degrees
C = 3x = 21 degrees
Answer:
Equation=$140+$85=$225
Step-by-step explanation:
If she sold her bike for $140 less than she paid for it, and she sold it for $85, you add 140 to 85 to get out much she paid for. To check your answer do 225-140=85.
Answer:
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