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3 years ago

Mr Ferguson reads 1/10 of a book to his class each day what fraction of the book has mr Ferguson read to the class after 5 days

1 answer:

3 0

5/10 or 1/2. If he reads 1/10 each day, you can multiply the numerator by 5, for the five days. You get 5/10, which can be simplified to 1/2.

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Find the exact value of cos theta, given that sin thetaequalsStartFraction 15 Over 17 EndFraction and theta is in quadrant II.

vova2212 [387]

Answer:

$cos \theta = -\frac{8}{17}$

Step-by-step explanation:

For this case we know that:

$sin \theta = \frac{15}{17}$

And we want to find the value for $cos \theta$ , so then we can use the following basic identity:

$cos^2 \theta + sin^2 \theta =1$

And if we solve for $cos \theta$ we got:

$cos^2 \theta = 1- sin^2 \theta$

$cos \theta =\pm \sqrt{1-sin^2 \theta}$

And if we replace the value given we got:

$cos \theta =\pm \sqrt{1- (\frac{15}{17})^2}=\sqrt{\frac{64}{289}}=\frac{\sqrt{64}}{\sqrt{289}}=\frac{8}{17}$

For our case we know that the angle is on the II quadrant, and on this quadrant we know that the sine is positive but the cosine is negative so then the correct answer for this case would be:

$cos \theta = -\frac{8}{17}$

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2 years ago

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Fiesta28 [93]

(x,y)
go over x, and up or down y
if fraction then between integers (1/2)=> between 0 and 1.
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3 years ago

3x + 5y + 7x - 3y<br> Simplify

sweet-ann [11.9K]

Combine like terms so you end up with 10x+2y

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3 years ago

Eight times a number is the same as 30 less than 5 times the number. Find the number?

Charra [1.4K]

Answer:

x = -10

Step-by-step explanation:

We just have to translate the problem correctly

>8 times a number is the same

this tells me that

$8x = ...$

>as 30 less than 5 times the number.

$... = 5x - 30$

Now set them equal to eachother

$8x = 5x - 30$

Now isolate the variable x

$8x - 5x = 5x - 5x - 30\\3x = -30\\x = \frac{-30}{3} = -10$

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Lelu [443]

7.5 weeks because 22÷3

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3 years ago

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