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3 years ago

which expression represents the perimeter of the rectangle above? (3x-3)(3x-1) a.6x+2 b.12x-8 c.6x-4 d.12x+2

2 answers:

4 0

Perimeter of rectangle is calculated by taking the sum of all the sides of the rectangle. In rectangles the 2 opposite sides are equal
length - 3x - 1
breadth - 3x - 3
the formula used to calculate perimeter for rectangle
perimeter = (2 x length) + (2 x breadth)
substituting length and breadth
perimeter = {2 x (3x - 1)} + {2 x (3x - 3)}
= 6x - 2 + 6x - 6
= 12x - 8
therefore correct answer is
<span>b.12x-8</span>

Ainat [17]3 years ago

4 0

{(3x-3)+(3x-1)}*2 = (6x-4)*2 = 12x-8
so b is correct.

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so, if we take 5/4 to be the 100%, what is 7/8 off of it in percentage anyway?

$\bf \begin{array}{ccll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
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\end{array}\implies \cfrac{\quad \frac{5}{4}\quad }{\frac{7}{8}}=\cfrac{100}{x}\implies \cfrac{5}{4}\cdot \cfrac{8}{7}=\cfrac{100}{x}
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3 years ago

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Step-by-step explanation:

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Read 2 more answers

From a hot-air balloon, Enola measures a 22 degrees angle of depression to a landmark that’s 310 feet away, measuring horizontal

vodka [1.7K]

Answer:

125.25 ft

Step-by-step explanation:

The geometry of the problem can be modeled by a right trianlge in which the side adjacent to the angle is 310 ft, and the side opposite the angle is the one we want to find. The relevant trig relation is ...

Tan = Opposite/Adjacent

Solving for the Opposite side (the height of the balloon), we find ...

Opposite = Adjacent · Tan

height = (310 ft)·tan(22°) ≈ 125.25 ft

Enola's balloon is about 125.25 ft above the ground.

_____

<em>Additional comment</em>

If we assume Enola's angle measurement can have a possible error of ±0.5°, then the corresponding error in the balloon height is more than ±3 ft. It is a bit of nonsense to report the height to the nearest 0.12 inches, (0.01 ft).

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3 years ago