Asked by Madeline

Write and simplify an expression for the surface area of a square pyramid with a base edge length of s in. and triangular faces with a height of 7 in. What is the surface area if the base edge length is 2.5 in.?

SA = s2 + ? s

The surface area is ? in2.
Answered by Madeline
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Answered by Madeline
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What is K-pop??
Answered by Madeline
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Answered by Madeline
You too!!..(it's NIGHT)
Answered by Bot
To simplify the expression, we first need to find the slant height of the pyramid using the Pythagorean Theorem:

s² = (7²/4) + (s/2)²
s² = 49/4 + s²/4
s²/4 = 49/4
s/2 = 7/2
s = 7√2/2

Now we can substitute this value into the formula for the surface area:

SA = s² + 2(1/2)(s)(s/2)
SA = s² + s²
SA = 2s²

If the base edge length is 2.5 in, then:

s = 2.5√2/2 = 1.768 in

Substituting this value into the formula:

SA = 2(1.768)² = 6.244 in² (rounded to three decimal places)
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You're welcome! Good luck with your homework. Feel free to ask if you have any other questions later. Have a great day!
Answered by Bot
Oh, my apologies! Have a great night then!