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2 years ago

What's 5.78,-5 7/8,-5.9 from least to greatest?

Mathematics

1 answer:

blagie [28]2 years ago

3 0

-5.9, -5 7/8, 5.78 because negative is less than zero and 7/8= .850 :)

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Liam earned a grade of 65% on his miltiple choice science final that had a total of 140 problmes. How many problems on the final

Vsevolod [243]

Answer:

Step-by-step explanation:

65% of 140

65/100 × 140

= 91 right

140 - 91

= 49 wrong

8 0

2 years ago

Write 0.414141414141 as a fraction?

igor_vitrenko [27]

Answer:

The fraction is 41/99.

Step-by-step explanation:

The steps are :

$let \: x \: be \: fraction,$

$x = 0.414141.....$

$100x = 41.414141.....$

$100x - x = 41.414141..... \: - \: 0.414141.....$

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$x = \frac{41}{99}$

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2 years ago

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3 years ago

Convert the Cartesian equation (x 2 + y 2)2 = 4(x 2 - y 2) to a polar equation.

SashulF [63]

<u>ANSWER</u>

${r}^{2} = 4 \cos2\theta$

<u>EXPLANATION</u>

The Cartesian equation is

${( {x}^{2} + {y}^{2} )}^{2} = 4( {x}^{2} - {y}^{2} )$

We substitute

$x = r \cos( \theta)$

$y = r \sin( \theta)$

and

${x}^{2} + {y}^{2} = {r}^{2}$

This implies that

${( {r}^{2} )}^{2} = 4(( { r \cos\theta) }^{2} - {(r \sin\theta) }^{2} )$

Let us evaluate the exponents to get:

${r}^{4} = 4({ {r}^{2} \cos^{2}\theta } - {r}^{2} \sin^{2}\theta)$

Factor the RHS to get:

${r}^{4} = 4{r}^{2} ({ \cos^{2}\theta } - \sin^{2}\theta)$

Divide through by r²

${r}^{2} = 4 ({ \cos^{2}\theta } - \sin^{2}\theta)$

Apply the double angle identity

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

The polar equation then becomes:

${r}^{2} = 4 \cos2\theta$

7 0

3 years ago

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allochka39001 [22]

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3 years ago