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3 years ago

What is 66.6% as a fraction in its simplest form (step-by-step explanation)?

Mathematics

2 answers:

natka813 [3]3 years ago

8 0

Answer:

333/500

66.6 = 0.666

100

= 333/500

loris [4]3 years ago

5 0

666/10 simplify it to 333/5 is your answer

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ivolga24 [154]

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The graphs of the two equations represent the same line

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3 years ago

Find the value of x<br><br> Please help

IrinaK [193]

Answer:

128 degrees

Step-by-step explanation:

360-90-90-52=128

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3 years ago

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astra-53 [7]

Answer:

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3 years ago

Simplify this equation please.

Sauron [17]

$\dfrac{\csc^2\theta-3\csc\theta+2}{\csc^2\theta-1}$

Identity:

$\sin^2\theta+\cos^2\theta=1\implies1+\cot^2\theta=\csc^2\theta$

So we can rewrite the denominator to get

$\dfrac{\csc^2\theta-3\csc\theta+2}{\cot^2\theta}$

Multiply numerator and denominator by $\sin^2\theta$ . Several terms will cancel since $\sin\theta\csc\theta=1$ . Also, $\cot\theta=\dfrac{\cos\theta}{\sin\theta}$ . We get

$\dfrac{1-3\sin\theta+2\sin^2\theta}{\cos^2\theta}$

Factorize the numerator, and write $\cos$ in terms of $\sin$ in the denominator to factorize it further to get

$\dfrac{(1-\sin\theta)(1-2\sin\theta)}{\cos^2\theta}=\dfrac{(1-\sin\theta)(1-2\sin\theta)}{1-\sin^2\theta}=\dfrac{(1-\sin\theta)(1-2\sin\theta)}{(1-\sin\theta)(1+\sin\theta)}$

The $1-\sin\theta$ factors cancel, leaving you with

$\dfrac{1-2\sin\theta}{1+\sin\theta}$

which you could simplify a bit further by writing

$\dfrac{1+\sin\theta-3\sin\theta}{1+\sin\theta}=1-\dfrac{3\sin\theta}{1+\sin\theta}$

3 0

4 years ago

7) If x-2 is a factor of P(x)= x^2-5x+a then find the value of a

ycow [4]

Answer:

a = 6

Step-by-step explanation:

Given that (x - 2) is a factor of P(x) , then P(2) = 0 , that is

P(2) = 2² - 5(2) + a = 0 , so

4 - 10 + a = 0

- 6 + a = 0 ( add 6 to both sides )

a = 6

7 0

3 years ago