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3 years ago

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

Mathematics

1 answer:

Katena32 [7]3 years ago

7 0

The area of an equilateral triangle is $9\sqrt{3} /4$

<u>Step-by-step explanation:</u>

Perimeter of a triangle = 3a

⇒ 9 = 3a

⇒ a = 9/3

a = 3

Area of an equilateral triangle = $\sqrt{3}/ 4\times a^{2}$

⇒ $\sqrt{3}/ 4\times 3^{2}$

⇒ $\sqrt{3}/ 4\times 9$

⇒ $9\sqrt{3} /4$

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Tom throws a ball into the air. The ball travels on a parabolic path represented by the equation , where represents the height o

tigry1 [53]

Answer:

2.5 second

Step-by-step explanation:

The equation is missing in the question.

The equation is, $h=-8t^2+40t$ , where 'h' is the height and 't' is time measured in second.

Now we know to reach its maximum height, h in t seconds, the derivative of h with respect to time t is given by :

$\frac{dh}{dt} =0$

Now the differentiating the equation with respect to time t, we get

$\frac{dh}{dt}=\frac{d}{dt}(-8t^2+40t)$

$\frac{dh}{dt}=-16t+40$

For maximum height, $\frac{dh}{dt} =0$

So, $-16t+40=0$

$\Rightarrow 16t=40$

$\Rightarrow t=\frac{40}{16}$

$\Rightarrrow t = 2.5$

Therefore, the ball takes 2.5 seconds time to reach the maximum height.

7 0

3 years ago

The Chocolate Shoppe has a rectangular logo for their business that

tigry1 [53]

The equation that calculates the unknown side length, M of the Chocolate Shoppe rectangular logo is A = 3.1H

<h3>How to determine the equation?</h3>

The parameters in the question are:

Logo: Rectangle
Height, H = 3 1/10 feet

Represent the area of the logo with A, and L represents the unknown side

The area (A) of the rectangle is calculated using:

A = H * L

Substitute 3 1/10 for H

A = 3 1/10 * H

Express the fraction as decimal

A = 3.1H

Hence, the equation that could be used to determine the unknown side length, M of the logo is A = 3.1H

Read more about areas at:

brainly.com/question/24487155

3 0

1 year ago

Ten times the sum of half a number and 6 is 8 <br>(As an equation)

Firlakuza [10]

10(0.5x + 6) = 8
5x + 60 = 8
5x = 8 - 60
5x = -52
x = -52/5
x = -10.4

3 0

3 years ago

The ratio of the length of the corresponding sides of two rectangles is 5:8. The area of the smaller rectangle is 130 m2. To the

xxMikexx [17]

I think the answer is 332.8 cm^2

5 0

3 years ago

Read 2 more answers

A triangle has the following side lengths: x - 2, x, and 3x + 1. Another triangle has the following side lengths: 2x - 5, x + 4,

notka56 [123]

we know that

Perimeter of a triangle is equal to

P=a+b+c

where

a,b and c are the length sides of the triangle

<u>Find the perimeter of the triangles</u>

<u>Triangle N 1</u>

P=(x-2)+(x)+(3x+1)-------> P=5x-1

<u>Triangle N 2</u>

P=(2x-5)+(x+4)+(6x-7)------> P=9x-8

equate the perimeters

5x-1=9x-8--------> 9x-5x=-1+8-------> 4x=7

x=7/4------> x=1.75

therefore

the answer is

x=1.75

5 0

3 years ago