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GalinKa [24]
3 years ago
5

Find the

Mathematics
1 answer:
Mazyrski [523]3 years ago
3 0

Answer:

54 cm

Step-by-step explanation:

The area (A) of an equilateral triangle is

A = \frac{s^2\sqrt{3} }{4}  ( s is the side length ) then

\frac{s^2\sqrt{3} }{4} = 81\sqrt{3} ( multiply both sides by 4 to clear the fraction )

s²\sqrt{3} = 324\sqrt{3} ( divide both sides by \sqrt{3} )

s² = 324 ( take the square root of both sides )

s = \sqrt{324} = 18

Thus

perimeter = 3 × 18 = 54 cm

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Answer:

t = 3 arc cos(h/7)/π

Step-by-step explanation:

The equation h=7cos(pi/3 t) models the (h) height in centimeters after (t) seconds of a weight attached to the end of a spring that has been stretched and released. To solve the equation for t we will solve the equation step by step:

h=7cos(pi/3 t)

Step 1)

Divide both sides by 7

h/7 = 7cos(pi/3 t)/7

Now the equation becomes h/7=cos(pi/3 t)

Step 2)

h/7=cos(pi/3 t)

Now  apply inverse cosine function:

arc cos (h/7) = pi/3 t

Step 3)

t = 3 arc cos(h/7)/pi

Thus t =  3 arc cos(h/7)/pi ....

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3 years ago
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Inga [223]

Answer:

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Step-by-step explanation:

3 0
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In a box there are three types of chocolate. there are 6 plain chocolate 8 milk chocolate and 10 white chocolate. Deon takes 2 c
olchik [2.2K]

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If angle 1 and angle 2 are supplementary angles, and angle 3 and angle 2 are supplementary angles, what do you know about angle
dusya [7]

Answer:

  angle 1 and angle 3 are congruent

Step-by-step explanation:

Angles supplementary to the same angle are congruent. Here both angles 1 and 3 are supplementary to angle 2, so angles 1 and 3 are congruent.

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If you like, you can get there algebraically:

  m∠1 + m∠2 = 180

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Subtract the second equation from the first:

  (m∠1 + m∠2) - (m∠3 + m∠2) = (180) - (180)

  m∠1 -m∠3 = 0 . . . . simplify

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When angle measures are the same, the angles are congruent.

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4 0
4 years ago
A circle has an equation (x+2)2+(y−5)2=64. What is 34 of its area.
skad [1K]

Answer:

3/4 of the area of the circle is of 48\pi squared units.

Step-by-step explanation:

Equation of a circle:

The equation of a circle has the following format:

(x - x_0)^2 + (y - y_0)^2 = r^2

In which the center is (x_0,y_0) and r is the radius.

Area of a circle:

The area of a circle of radius r is given by:

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Comparing with the standard equation, we have that:

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Area of the circle:

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3/4 of the area of the circle is of 48\pi squared units.

8 0
3 years ago
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