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lorasvet [3.4K]

2 years ago

5

Triangle lmn has sides measuring 7 meters and 6 meters and a perimeter of 16 meters. heron’s formula: area = startroot s (s minu

s a) (s minus b) (s minus c) endroot what is the area of triangle lmn? round to the nearest square meter. 3 square meters 9 square meters 28 square meters 34 square meters

1 answer:

FromTheMoon [43]2 years ago

5 0

Answer:

9 m²

Step-by-step explanation:

s = half the perimeter = (a+b+c)/2

the perimeter in our case is

a+b+c = 16

so, s = 16/2 = 8

and the sides are

7 m

6 m

16 - 7 - 6 = 3 m

therefore, we get

area = sqrt(8(8-7)(8-6)(8-3)) = sqrt(8×1×2×5) = sqrt(80) =

= 8.94427191... ≈ 9 m²

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Step-by-step explanation:

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Use decimals and fractions in the same equation showing the Commutative Property. Repeat for the Associative Property.

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For Commutative Property of Addition

Let us take a decimal number $2.14$ and a fraction $\frac{5}{20}$

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So, for $2.14$ and $\frac{5}{20}$

Let us add

$2.14+\frac{5}{20} = \frac{214}{100} +\frac{5}{20}$

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Also,

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Therefore, $2.14+\frac{5}{20} = \frac{5}{20} + 2.14$

Hence, Commutative Property of Addition is satisfied.

For Associated Property of Addition

Let us take two same decimal numbers $2.14$ , $7.25$ and a fraction $\frac{5}{20}$

Now, according to the Associated property of Addition:

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$= 2.14 + (\frac{725}{100} + \frac{25 }{100})$

$= 2.14 + (\frac{750}{100} )$

$= \frac{214}{100} + \frac{750}{100}$

$= \frac{964}{100}$

$=9.64$

The Right hand side:

$(a + b )+c$

$(2.14 + 7.25 )+ \frac{5}{20}= ( 9.39 ) + \frac{5 }{20}$

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Therefore, $2.14+\frac{5}{20} = \frac{5}{20} + 2.14$

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Ali, Ben, and Cliff plant seedlings in their neighborhood park. Ali plants 40% of the total number of seedlings, Ben plants 45%

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Answer:

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