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3 years ago

luna ray has 1 orange pick for every 2 green picks.How manu green picks does luna have if she has 12 total picks

Mathematics

2 answers:

Novay_Z [31]3 years ago

7 0

1:2 ratio
1:2 = 3
2:4= 6
3:6= 9
4:8 = 12
Your answer would be 8 green picks

Bess [88]3 years ago

3 0

This is how you do it!

So, There is a ratio of 1:2 for the orange to green.
This means that e can write an equation like this:

Let x be the orange picks

x + 2x = 12
3x = 12
x = 4

This means that there are 4 orange picks, and also 8 green picks

Now we can check that by simplifying the ratio --> 4:8 = 1:2

Therefore, your answer would be 8 green picks

Hope this helped!

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3 years ago

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<u>Given</u>:

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3 years ago

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3 years ago

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3 years ago

Can someone help me with this? sin150° =

marusya05 [52]

Answer:

sin(150°) = 1/2

Step-by-step explanation:

* Lets study how we can solve this problem

- At first the measure of the angle is 150°

- Ask your self in which quadrant can you find this measure

* To know the answer lets revise the four quadrants

# First quadrant the measure of all angles is between 0° and 90°

the measure of any angle is α

∴ All the angles are acute

∴ All the trigonometry functions of α are positive

# Second quadrant the measure of all angles is between 90° and 180°

the measure of any angle is 180° - α

∴ All the angles are obtuse

∴ The value of sin(180° - α) only is positive ⇒ sin(180° - α) = sinα

# Third quadrant the measure of all angles is between 180° and 270°

the measure of any angle is 180° + α

∴ All the angles are reflex

∴ The value of tan(180° + α) only is positive ⇒ tan(180° + α) = tanα

# Fourth quadrant the measure of all angles is between 270° and 360°

the measure of any angle is 360° - α

∴ All the angles are reflex

∴ The value of cos(360° - α) only is positive ⇒ cos(360° - α) = cosα

* Now lets check the angle of measure 150

- It is an obtuse angle

∴ It is in the second quadrant

∴ the value of sin(150) is positive

∴ sin(150°) = sinα

∵ 180 - α = 150 ⇒ isolate α

∵ α = 180° - 150° = 30°

∴ sin(150°) = sin(30°)

∵ sin(30°) = 1/2

∴ sin(150°) = 1/2

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3 years ago

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