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inysia [295]
4 years ago
5

The surface area of a square pyramid is 136 square inches. The base length is 4 inches. What is the slant height? please help!

Mathematics
1 answer:
BlackZzzverrR [31]4 years ago
4 0


the surface area is 136

you need to subtract the surface area of the base. It is a square pyramid, so both the sides are 4 inches, meaning you need to multiply 4x4 which is 16 and subtract it from the rest of the area. 136-16=120

There are four identical triangles that have identical surface area because it is a square triangle. So you can divide 120 by four to get the area of one of the triangles. 120/4=30

the formula for the area of a triangle is 1/2 base x height. We know that the base is 4 because that is the length that was given to us. so we can plug in our numbers into the formula

30=1/2(4)(height)

30=2(height)

and from there we can solve. 30/2=15

the height of the triangle is 15, which is also the slant height

to check our work, 1/2(4)(15)=30

4x15=60

1/2x60=30


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<h3>What are the asymptotes of a function f(x)?</h3>

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In this problem, the function is:

f(x) = \frac{5x}{x - 25}

Considering the denominator, the vertical asymptote is:

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The horizontal asymptote is found as follows:

y = \lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} \frac{5x}{x - 25} = \lim_{x \rightarrow \infty} \frac{5x}{x} = \lim_{x \rightarrow \infty} 5 = 5

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More can be learned about asymptotes and end behavior at brainly.com/question/28037814

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