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Julli [10]
4 years ago
12

The base of a triangular prism is an equilateral triangle with a perimeter of 15in. If the height of the prism is 4in, find the

surface area.
Mathematics
1 answer:
goblinko [34]4 years ago
4 0
We know that
surface area=2*[area of the base]+perimeter of the base*height 
find the area of the base

is an equilateral triangle
b=15/3----> 5 in
applying the law of sines to find the area
Area=(1/2)*b²*sin 60°------> area=(1/2)*5²*sin 60°----> 10.8253 in²

alternative method to find the area of the equilateral triangle
find the h value
applying the Pythagoras theorem
h²=5²-2.5²-----> h=√18.75-----> h=4.33 in
area=b*h/2----> area=5*4.33/2----> 10.8253 in²

surface area=2*[10.8253]+15*4----->  81.65 in²

the answer is
81.65 in²
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4 years ago
Multiply
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Answer:

12 x^4 + 18 x^3 - 9 x^2 thus D is the correct answer.

Step-by-step explanation:

Expand the following:

3 x^2 (4 x^2 + 6 x - 3)

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3 (-3) = -9:

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3 x^2×6 x = 3 x^(2 + 1)×6:

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3×6 = 18:

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3 x^2×4 x^2 = 3 x^4×4:

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3×4 = 12:

Answer:  12 x^4 + 18 x^3 - 9 x^2

6 0
3 years ago
How much?Please help me.
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Answer:

imma say $5300

Step-by-step explanation: if right plz mark as brainliest

sorry if wrong

8 0
3 years ago
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