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3 years ago

6

What is the range of y= sin Ө?

1 answer:

riadik2000 [5.3K]3 years ago

8 0

let's recall on the Unit circle that, as the angle opens opens opens, the "y" value goes up up reaches 1, the as the angle continues it goes back down down and so on.

to make it short, sin(θ) just as cos(θ) will always spit out a value that is either -1 or 1 or anywhere in between, thus their range is -1 ⩽ sin(θ) ⩽ 1.

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Nancy bought an extra-large bag of 1,288 beads to make necklaces. When she got home, she found another bag with 784 beads in it.

tekilochka [14]

We are given

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5 0

4 years ago

Read 2 more answers

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oksano4ka [1.4K]

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3 years ago

Read 2 more answers

muminat

Answer:

a) $\left \{ {{8x+218=y} \atop {5x+521=y}} \right.$ , b) $101

Step-by-step explanation:

Hermes: 8 envelopes, $218

Apollo: 5 envelopes, $521

If x is the amount in each envelope, H is the amount Hemes has and A is the amount Apollo has, this would be a possible system of equations.

$\left \{ {{8x + 218 = H} \atop {5x +521 = A}} \right.$

If Apollo and Hermes both had the same amount of total money, A and H could equal y

$\left \{ {{8x+218=y} \atop {5x+521=y}} \right.$

We want to find the amount in each envelope (x), so we can substitute y in the first equation for y in the second equation:

$8x+218=5x+521$

Subtract $5x$ from both sides

$3x+218=521$

Subtract 218 from both sides

$3x=303$

Divide both sides by 3

$x=101$

So there would have to be $101 in both envelopes for Apollo and Hermes to have the same amount of total money.

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3 years ago