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2 years ago

Find the area of an equilateral triangle (regular 3-gon) with the given measurement.

Mathematics

1 answer:

olga nikolaevna [1]2 years ago

6 0

The formula for finding the area of an equilateral triangle is

square root of 3 * (a^2/2)

a is the side length so in this case is 6

square root of 3 * (18)

the area is about 15.6

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consider the line 4x+9y=-8find the equation of the line that is perpendicular to this line and passes through the point (-2, -2)

levacccp [35]

$\begin{gathered} \text{The equation of the line is,} \\ 4x+9y=-8 \\ 9y=-4x-8 \\ y=-\frac{4}{9}x-\frac{8}{9} \\ \text{The slope is}\Rightarrow m=-\frac{4}{9} \\ perpendicular\text{ slope}\Rightarrow m^{\prime}=\frac{9}{4} \\ 1. \\ x_1=-2,y_1=-2 \\ So,\text{ the perpendicular equation of line is} \\ y-y_1=m^{\prime}(x-x_1) \\ y+2=\frac{9}{4}(x+2) \\ 4y+8=9x+18 \\ 4y=9x+10 \\ y=\frac{9}{4}x+\frac{5}{2}(\text{Ans)} \\ 2. \\ The\text{ parallel equation is,} \\ y-y_1=m(x-x_1) \\ y+2=-\frac{4}{9}(x+2) \\ 9y+18=-4x-8 \\ 9y=-4x-26 \\ y=-\frac{4}{9}x-\frac{26}{9}(\text{Ans)} \end{gathered}$

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1 year ago

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ExtremeBDS [4]

Answer:

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Step-by-step explanation:

Begginging temp: 26 degrees

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2 years ago

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Dennis_Churaev [7]

Answer:

Step-by-step explanation:

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2 years ago

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Read 2 more answers

Karen and James both had 30 stocking stuffer items on their shopping list. After black Friday shopping Karen had finished 35% of

mihalych1998 [28]

Answer: 7.5 items

Step-by-step explanation:

Both Karen and James had 30 stocking items.

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= 7.5 items

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2 years ago