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3 years ago

The perimeter of an equilateral triangle is numerically equal to its area. Find the

Mathematics

1 answer:

goblinko [34]3 years ago

5 0

Step-by-step explanation:

<h2>GIVEN:-</h2>

The Perimeter of an equilateral triangle is equal to its area.

<h2>UNDERSTANDING THE CONCEPT:-</h2>

Let length of each side of equilateral triangle = a cm

The triangle has 3 sides, So

= 3 × a

= 3a cm

<h2>FORMULA:-</h2>

According to the question,

Perimeter of Equilateral triangle = Area of Equilateral triangle.

$3a \: = \frac{ \sqrt{3} }{4} a { }^{2} \\$

<h2>REQUIRED ANSWER:-</h2>

$3a = \frac{ \sqrt{3} }{4} {a}^{2} \\$

$3a \times 4 = \sqrt{3} a {}^{2}$

$a = 4 \sqrt{3}$

<h3>SO, The length of its side = 4√3 cm.</h3>

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A firefighter uses equipment that weighs 60 pounds. The firefighter weighs x pounds. Which equation can be used to find t, the t

Ivanshal [37]

Since the total weight would be equal to the weight of the firefighter added to the weight of the equipment, the total weight would be x+60. So the answer is B. t=x+60

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4 years ago

Read 2 more answers

Which is an equivalent equation solved for y?

Nata [24]

X and y are the half length of the largest and smallest diameter of the ellipse.
Area of the Ellipse , a = πxy
To find: Equivalent Equation for y.

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a = πxy
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3 years ago

A hacker is trying to guess someone's password. The hacker knows (somehow) that the password is 10 characters long, and that eac

Gnoma [55]

The probability that the hacker guesses the password on his first try is:

P = 1/(62^10) = 1.19*10^(-18)

We know that the password is 10 characters long.

In each one of these, we can put.

One lower case letter (26 of these)

One upper case letter (26 of these)

one numerical digit (10 of these)

So, for every single digit, we have a total of:

26 + 26 + 10 = 62 options

Now we can find the total number of different passwords, which will be equal to the product between the number of options for each one of the characters.

We know that for each character we have 62 different options.

And we have 10 characters.

Then the product between the numbers of options is:

C = 62^10

Then if the hacker does a random guess, the probability that the random guess is correct is one over the total number of possible combinations.

P = 1/C = 1/(62^10)

The probability that the hacker guesses the password on his first try is:

P = 1/(62^10) = 1.19*10^(-18)

If you want to read more about probability, you can read:

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3 years ago

Why does a right regtangler prism conect to a square

mel-nik [20]

I'm sorry I don't quite get what your asking but another name for a right rectangular prism is cuboid

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3 years ago

A dairy farmer wants to mix a 85% protein supplement and a standard 55% protein ration to make 1200 pounds of a high-grade 80% p

mr_godi [17]

The diary farmer should use 1000 pounds of 85 % protien and 55 % of 200 pounds to make 1200 pounds of a high-grade 80% protein ration

<em><u>Solution:</u></em>

Let the amount of 85 % protien supplement be "x"

Then amount of 55 % protien be (1200 - x)

According to given question,

85 % of "x" protien supplement + 55 % of 1200 - x protien used to get 80 % of 1200 pounds

85 % of x + 55 % of (1200 - x) = 80 % of 1200

$\frac{85}{100} \times x + \frac{55}{100} \times (1200 - x) = \frac{80}{100} \times 1200\\\\0.85x + 0.55(1200 - x) = 960\\\\0.85x + 660 - 0.55x = 960\\\\0.3x = 960 - 660\\\\0.3x = 300\\\\x = 1000$

Pounds of 85 % protien used = 1000 pounds

Then pounds of 55 % protien used = 1200 - 1000 = 200 pounds

Thus he should use 1000 pounds of 85 % protien and 200 pounds of 55 % protien to get 1200 pounds of a high-grade 80% protein ration

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3 years ago