hectictar

sin²θ + cos²θ = 1

It will always equal one no matter what θ is. This comes from the pythagorean theorem.

and 3652.5 minutes = 60.875 hours

\(\frac{-3\sqrt{5}}{\sqrt{15}} \\ = \frac{-3\sqrt{5}(\sqrt{15})}{\sqrt{15}(\sqrt{15})} \\ = \frac{-3\sqrt{75}}{15} \\ = \frac{-3(5\sqrt{3})}{15} \\ = \frac{-15\sqrt{3}}{15} \\ = -\sqrt{3}\)

:)

(36³)(87⁵) - 5

= (46,656)(4,984,209,207) - 5

= 232,543,264,761,792 - 5

= 232,543,264,761,787

y = (-5/2)(40) - 34

y = (-200/2) - 34

y = -100 - 34

y = -134

\(\frac{(\sqrt{54})(\sqrt{20})}{\sqrt{189}} \\ = \frac{\sqrt{(54)(20)}}{\sqrt{189}} \\ = \frac{\sqrt{1080}}{\sqrt{189}} \\ = \frac{\sqrt{1080}(\sqrt{189})}{\sqrt{189}(\sqrt{189})} \\ = \frac{\sqrt{204,120}}{189} \\ = \frac{54\sqrt{70}}{189} \\ = \frac{2\sqrt{70}}{7}\)

The x intercept is the point where y=0.

So just plug in 0 for y and solve for x.

0  = -4x - 48

48 = -4x

x = -12

How many mL is 1/3 of the 600 jar?

(1/3)600 = 200

200 mL is 1/3 of the 600 jar.

So you have 200 mL of water.

What fraction of 300 is 200?

300x = 200

x = 2/3

200 is 2/3 of 300.

It could be asking how many times smaller 1/h is.

It could be asking what you have to multiply 1/h by to get h.

In that case:

(1/h)x=h

x=h²

So you have to multiply 1/h by h² to get h.

1/h is h² times smaller than h.

Either way is possible. I don't really know what the question is asking for.

Did you mean to put one more zero at the end? There's a comma there but only 2 zeros after it.

I'm going to assume you meant:

17,522,800,000

Move the decimal however many places it takes to get it just behind the first digit.

Count how many places you move it and whether you moved left or right.

That makes it look like this:

1.7522800000

For this number you have to move left 10 places.

Since you moved left 10 places, you must multiply by 10¹⁰ to get it back to the original number.

(If you move right the exponent is negative.)

1.7522800000 x 10¹⁰

 Then you can just drop the zeros at the end. So the scientific notation is:

1.75228 x 10¹⁰