3 years ago

Find the missing length indicated

Mathematics

1 answer:

miskamm [114]3 years ago

5 0

Check the picture below.

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The area of a square is 49 cm^2. What is the perimeter, in cm, of the square?

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Answer:

P = 28 cm

Step-by-step explanation:

The area of a square is

A = s^2 where s is the side length

49 = s^2

Taking the square root of each side

sqrt(49) = sqrt(s^2)

7 =s

Now find the perimeter of the square

P = 4s

P = 4(7)

P = 28 cm

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Step-by-step explanation:

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2 years ago

Calculate 6+9i/-1+4i

lisabon 2012 [21]

Multiply the numerator and denominator by the conjugate of the denominator:

$\dfrac{6+9i}{-1+4i} \times \dfrac{-1-4i}{-1-4i} = \dfrac{(6+9i)(-1-4i)}{(-1)^2-(4i)^2}$

Simplify:

$\dfrac{(6+9i)(-1-4i)}{(-1)^2-(4i)^2} = \dfrac{-6-9i-24i-36i^2}{1-16i^2} = \dfrac{-6-33i-36i^2}{1-16i^2} = \dfrac{-6-33i+36}{1+16} = \boxed{\dfrac{30-33i}{17}}$

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2 years ago