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MariettaO [177]
2 years ago
12

An equilateral triangle has a perimeter of 48 cm. What is the area?

Mathematics
1 answer:
KiRa [710]2 years ago
6 0

Answer:

A=64\sqrt{3}\ cm^2

Step-by-step explanation:

we know that

An <u><em>equilateral triangle</em></u> has three equal sides and three equal interior angles (each interior angle measure 60 degrees)

so

The perimeter is equal to

P=3b

where

b is the length side of the equilateral triangle

we have

P=48\ cm

substitute

48=3b

solve for b

b=48/3\\b=16\ cm

Find the area

The formula of area applying the law of sines is equal to

A=\frac{1}{2}b^2sin(60^o)

substitute the value of b

A=\frac{1}{2}(16)^2sin(60^o)

sin(60^o)=\frac{\sqrt{3}}{2}

A=\frac{1}{2}(16)^2(\frac{\sqrt{3}}{2})

A=64\sqrt{3}\ cm^2

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First i would isolate the "y" in the equation.

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2 years ago
In 2013, the population of China was estimated to be 1,360,760,100. Round off the number of people 
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Answer:

a) 1,360,760,000

b) 1,361,000,000

c) 1,400,000,000

d)  1,360,800,000

Step-by-step explanation:

We have to round off the given population number to certain digits.

The following are the rules to round of a number:

  1. First identify the digit to be rounded.
  2. If this digit is followed by 5,6,7,8,9 then we round up the number that is increase the digit by 1 and all the numbers to right becomes zero.
  3. If this digit is followed by 0,1,2,3,4 then we round down the number that is decrease the digit by 1 and all the numbers to right becomes zero.

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Right Digit: 1

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Millions place: 0

Right Digit: 7

We round up the number

Rounded to the nearest million places = 1,361,000,000

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Right Digit: 6

We round up the number

Rounded to the nearest million places = 1,400,000,000

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hundred thousand place: 7

Right Digit: 6

We round up the number

Rounded to the nearest million places = 1,360,800,000

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