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3 years ago

the circumference of a circle is 11.4mm. find the length of the diameter. give your answer rounded to 3SF.

Mathematics

1 answer:

kvasek [131]3 years ago

4 0

Answer:

3.627 = d

Step-by-step explanation:

C = 11.4mm

d = ?

C = πd

11.4 = 22/7 × d

cross multiply

11.4 ×7 = 22d

79.8 = 22d

Divide both sides of the equation b 22

79.8/22 = 22d/22

3.627 = d

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bezimeni [28]

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Answer:

-5/4 +i(√2)/4 and -5/4 -i(√2)/4

Step-by-step explanation:

I find simplest form to be easier to get to if the leading coefficient is 1. Dividing by 16, we have ...

x^2 +5/2x +27/16 = 0

Completing the square by adding and subtracting the square of half the x-coefficient, we get ...

(x^2 +5/2x +25/16) +27/16 -25/16 = 0

(x +5/4)^2 = 2/16

Subtracting 2/16, taking the square root, and subtracting 5/4 gives ...

x +5/4 = ±√(-2/16)

x = -5/4 ±i(√2)/4

The roots are -5/4 +i(√2)/4 and -5/4 -i(√2)/4.

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3 years ago

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Nana76 [90]

Look at the picture.

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We have the right triangle x, y and r. From the Pythagorean theorem we have:

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$\left(-\dfrac{2}{3};\ \dfrac{\sqrt5}{3}\right)$

Substitute:

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