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3 years ago

Triangle ABC is equilateral. Find the height of BD

Mathematics

1 answer:

RideAnS [48]3 years ago

3 0

Since ABC is equilateral, all 3 sides have equal length. side AC is 8 units since side BC is 8 units.

Line BD is placed in the middle, making D the midpoint of side AC.

knowing this information we can determine that the length of DC is 4 units (half of AC)

since triangle BDC is a right triangle, we can use the side lengths in the pythagorean theorem to find the length of BD

a²+b²=c² where a & b = legs of triangle , and c= hypotenuse (longest side)

we are given the hypotenuse and found one leg so we can plug our values into the equation to find the third

4² + b²= 8²

16 + b² = 64

b² = 48

b = $\sqrt{48}$

b= 4√3 or about 6.928 units

hope this helped

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Leokris [45]

Answer:

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2 years ago

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tia_tia [17]

Answer:

Step-by-step explanation:

The area of a cylinder is A=2πrh+2πr^2

You first do the first problem of the equation (A=2πrh)

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You first multiply 4 x 8 = 32. ( A=2π(32) )

Then you multiply 2 x 32 = 64. ( A=π(64) )

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Next you just multiply 32 x π (using 3.14 for π again) = 100.48 m^2.

Then you just add them together:

200.96 m^2 + 100.48 m^2 = 301.44 m^2

So <u>301.44 m^2</u> is your answer.

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2 years ago

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Which of the following pairs of lines are perpendicular? Select all that apply

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Perpendicular lines will have negative reciprocal slopes

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2 years ago

Write an equation for each linear function described. Show your work. The graph of the function passes through the point (2,1),

svp [43]

Step-by-step explanation:

The graph of the function passes through the point (2,1), and

y increases by 4 when x increases by 1.

x y

2 1

3 5

4 9

5 13

6 17

and so on

From the table:

$\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(2,\:1\right),\:\left(x_2,\:y_2\right)=\left(3,\:5\right)$

$m=\frac{5-1}{3-2}$

$m=4$

As the slope-intercept form of the line is

$y=mx+b$

putting m=4 and any point, let say (2, 1) to find y-intercept 'b'.

$1=\left(4\right)2+b$

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$8+b-8=1-8$

$b=-7$

So putting $b=-7$ and $m=4$ in the slope-intercept form of the line

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2 years ago

C=59(F−32)

neonofarm [45]

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That leaves B, which is right if you experiment with the math.

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2 years ago