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2 years ago

Given that cosΘ = -square root 2/2 and that Θ lies in quadrant III, determine the value of sinΘ.

Mathematics

1 answer:

Reptile [31]2 years ago

6 0

Answer:

C) (square root 2)/2

Step-by-step explanation:

In quadrant III, the sine of an angle is positive. The value will be ...

sin(Θ) = √(1 -cos(x)^2) = √(1 -(-√2/2)^2) = √(2/4)

sin(Θ) = (√2)/2

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4X plus 3Y equals 24 is delayed by a scale factor of two centered at the .3, for the equation of the daily line is Y equals -4 o

ElenaW [278]

Answer:

Aaliyah isn't correct.

Check the Explanation for the reasons why she is wrong.

Step-by-step explanation:

The complete question is attached to this solution.

Lines with equations in a coordinate system are basically stretched forever. Because, for every value of x, we will be able to obtain a corresponding value for y.

So, dilating this line by a scale factor of 2 and centering the line about a point (3, 4) (which is a point on the line), doesnt change anything about the equation of the line.

4x + 3y = 24

we show that (3, 4) is a point on the line

4(3) + 3(4) = 12 + 12 = 24. (Proved).

So, writing this equation of the line in the form of y = mx + c, we obtain

4x + 3y = 24

3y = -4x + 24

y = (-4x/3) + 8

which is very different from the equation of the line that Aaliyah has written;

y = (-4x/3) + 16

This proves the point that Aaliyah isn't correct.

Hope this Helps!!!!

7 0

3 years ago

Naoya read a book cover to cover in a single session, at a rate of 555555 pages per hour. After 444 hours, he had 350350350 page

natali 33 [55]

Answer:

$y=-55x+570$

Step-by-step explanation:

The correct question is

Naoya read a book cover to cover in a single session, at a rate of 55 pages per hour. After 4 hours, he had 350 pages left to read.

Let y represent the number of pages left to read after x hours.

Complete the equation for the relationship between the number of pages left and number of hours.

Let

x -----> the time in hours

y ----> the number of pages left to read

we know that

The linear equation in point-slope form is equal to

$y-y1=m(x-x1)$

In this problem we have

$m=-55\frac{pages}{hour}$ ----> is negative because the linear function is decreasing

$point\ (4,350)$

substitute

$y-350=-55(x-4)$

$y-350=-55x+220$

$y=-55x+220+350$

$y=-55x+570$

8 0

4 years ago

I will gove brainlist ..The line graph shows the amount of water loss in a leaking tank during 7 hours.The owner pays $1for ever

kramer

Answer:

The owner will have to pay $ 125 after 2 hours.

Step-by-step explanation:

Given that the line graph shows the amount of water loss in a leaking tank during 7 hours, and the owner pays $ 1 for every 8 liters of water lost, to determine how much will he have to pay after 2 hours the following calculation must be performed :

((6000 - 5000) / 8) x 1 = X

(1000/8) x 1 = X

125 x 1 = X

125 = X

Therefore, the owner will have to pay $ 125 after 2 hours.

8 0

3 years ago

-5 - (x + y) / 2 where x=3 and y=6

Monica [59]

Answer:-7

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Root 3 minus root 2 divided by root 3 + root 2

Paladinen [302]

Answer:

$5 - 2 \sqrt{6}$

Step-by-step explanation:

Perhaps you are interested in rationalising the denominator of the given problem. Let's do it.

$\frac{ \sqrt{3} - \sqrt{2} }{ \sqrt{3} + \sqrt{2} } \\ \\ multiplying \: numerator \: and \: denominator \: \\ by \: (\sqrt{3} - \sqrt{2}) \\ \\ \frac{( \sqrt{3} - \sqrt{2} ) }{ (\sqrt{3} + \sqrt{2} )} \times \frac{ (\sqrt{3} - \sqrt{2} )}{ (\sqrt{3} - \sqrt{2} )} \\ \\ = \frac{{( \sqrt{3} - \sqrt{2} )}^{2} }{ { (\sqrt{3} })^{2} - {( \sqrt{2} })^{2} } \\ \\ = \frac{ { (\sqrt{3} )}^{2} + { (\sqrt{2} )}^{2} - 2 \sqrt{3 \times 2} }{3 - 2} \\ \\ = \frac{3 + 2 - 2 \sqrt{6} }{1} \\ \\ = 5 - 2 \sqrt{6}$

6 0

3 years ago