Answer:
LA = 96
SA = 108
Step-by-step explanation:
The lateral surface area is the area of the sides (not including the bases). For a triangular prism, the bases are the triangles.
The sides consist of three rectangles. The vertical rectangle is 3 by 8 units. The horizontal rectangle is 4 by 8 units.
The slanted rectangle has a length of 8 units, but we don't know the width. To find that, we use Pythagorean theorem to find the hypotenuse of the triangles.
c² = a² + b²
c² = 3² + 4²
c = 5
So the lateral surface area is:
LA = (3)(8) + (4)(8) + (5)(8)
LA = 96
The total surface area is the lateral surface area plus the area of the bases.
SA = 96 + ½(3)(4) + ½(3)(4)
SA = 108
23. The answer is B) x-6.
23.) The answer is D) x + 3
Answer:
B. 2x + 5, with the restriction x ≠ five over 2
Step-by-step explanation:
The given expression is the difference of squares, so factors as ...
the product of the quantity 2x plus 5 and the quantity 2x minus 5 over the quantity 2x minus 5
You will note that the numerator and denominator have a common factor:
the quantity 2x minus 5
Factoring that out gives ...
2x + 5, with the restriction x ≠ five over 2 (x is restricted from being a value that makes the denominator zero.)
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<em>Comment on the form of the answer</em>
Since you have written your math expressions using words instead of symbols, we assume you can read them more easily that way. So, we have provided the explanation in the form you can most easily understand. (Personally, I prefer math symbols. They are more compact and tend to be less ambiguous.)
