9. You need an exact answer. So I will give you it but I'll also give you an approximation because it might help you understand it more.
Because we know the cosine fo theta, we can evaluate the inverse cosine of -2/3 first to find theta.
= 131.81° approx.
Because 131.81° is in the second quadrant its third quadrant partner is 228.19°. Which would make the sine 0.75 approximately.
But we need an exact answer I suppose so which is this disgusting mess...
. I know it looks scary but it is basically all the steps we just did but without evaluating anything.
This can be simplified using: sin(x− y) = sinxcosy−cosxsiny
To... 
answer: 
10. Okay. So because we have a point we can say that...
θ = 
sin(θ) = +sin(
)
11. arcsin(-0.37) =
= -21.72°+2kπ or 201.72°+2kπ approx. where k has to be an integer
answer: idk if you want one or more solutions so I gave you them all.
12. arccos(-√3/2) = 
Remember that "k" must be an integer.
answer: 5π/6
It is not a negative so it is 10 because the number can't be big
Answer:
- 60<em><u>÷</u></em><em><u>15</u></em><em><u> </u></em><em><u>=</u></em><em><u>4</u></em><em><u> </u></em>
<em><u>Therefore</u></em><em><u> </u></em><em><u>Martin</u></em><em><u> </u></em><em><u>uses</u></em><em><u> </u></em><em><u>his</u></em><em><u> </u></em><em><u>power</u></em><em><u> </u></em><em><u>saw</u></em><em><u> </u></em><em><u>4</u></em><em><u> </u></em><em><u>times</u></em><em><u> </u></em><em><u>in</u></em><em><u> </u></em><em><u>one</u></em><em><u> </u></em><em><u>hour</u></em><em><u> </u></em>
Answer:
1) Part A)
Liters Mililiters
1 1,000
5 5,000
8 8,000
14 14,000
2) Part B)
One way to convert 4.2 liters to milliliters is to <u> multiply </u> the number of liters by the number of milliliters in 1 liter. This means there are <u> 4,200 </u>milliliters in 4.2 liters. The cafeteria has the greatest amount of <u> orange </u>juice, the second greatest amount of <u> grape </u> juice, and the least amount of <u> cranberry </u>juice.
Explanation:
<u>1) Data:</u>
- Grape juice: 8,000 mililiters
- Cranberry juice: 4.2 liter
- Orange juice: 12,000 mililiters
- There are 1,000 mililiers in 1 liter
<u>2) Part A:</u>
<u>Table:</u>
The table is garbled. This is what the tables could look like:
Liters Mililiters
1 1,000
5 5,000
8 8,000
14 14,000
You can see that the table shows a direct relationship between the number of mililiters and the number of liters:
- 1,000/1 = 1,000
- 5,000/5 = 1,000
- 8,000/8 = 1,000
- number of mililiters / liters = 1,000
<u>3) Part B)</u>
Fill in the blanks to explain how Landon can convert 4.2 liters of cranberry juice to mililiters so he can compare the amounts of the different juices:
i) One way to convert 4.2 liters to milliliters is to <u> multiply </u> the number of
liters by the number of milliliters in 1 liter.
- As demonstrated above there is a direct relationship between the number of mililiters and the number on liters, then you must multiply the number of liters by the proportionality constant to find the number of mililiters.
ii) This means there are <u> 4,200 </u>milliliters in 4.2 liters.
- That is the product 4.2 × 1,000 = 4,200.
iii) The cafeteria has the greatest amount of <u> orange </u>juice, the second greatest amount of <u> grape </u> juice, and the least amount of <u> cranberry </u>juice.
Rank the amounts:
↑ ↑ ↑
orange grape cranberry