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natulia [17]
3 years ago
10

If θ is in Quadrant III and sinθ = -3/5, then cosθ = _____.

Mathematics
1 answer:
Nikolay [14]3 years ago
4 0
Because the angle omega is in QIII, the adjacent side lies to the left of the origin and thus is represented by a negative value.  Since sin omega = -3/5, the opposite side is also negative.  Use the Pythagorean Theorem to obtain the length of the adjacent side:  5^2 = (-3)^2 + x^2, or 25 = 9 + x^2, or x^2 = 16.

Solving for x:  x = plus or minus 4.  Since we are in QIII, let x = -4.

Then cos omega is  opp / hyp, or -4/5.
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3 years ago
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Arturiano [62]

First of all, let's note the sales tax rates in each town. In Washington, we know it's 6%. In the town in Virginia, it's 5%. In the town in Maryland, it's 9%.

Let's figure out the total taxes in every town by applying the sales tax rate for each town.

To add percents to a whole number, we always multiply using 0.XX (example: to add 1% to a the number 100, we would multiply 100*0.01 and get the answer 1. We'd then add the 1 to the original number, 100, and get 101.)


In this case, we need to multiply the $1000 by the sales tax in Washington, 6%.

1000 x 0.06 = 60. Now, we add the 60 to the original number (1000), and get 1060. Now we know the total tax in Washington on the computer will be $60, and the total price we will pay is $1060.00


For Virginia, the sales tax is 5%. Let's add the 5% using the same method we used in the equation above.

1000 x 0.05 = 50. Now, add the 50 to the original 1000, and we get 1050. Now we know that the total tax in Virginia is going to be $50, and the total price that we'll pay in Virginia is $1050.00.


On to the final town, Maryland. In Maryland, the sales tax rate is 9%. Let's use the same formula again.

1000 * 0.09 = 90. Now that we have the 90, we add it to the original 1000, and we get 1090. In Maryland the total sales tax will be $90, and the total price we'll pay is $1090.00.


Now, let's complete the question by answering the 3 parts.


To spend the least amount total Amir should buy the computer in Virginia ($1050.00).

Amir would pay the most sales tax in Maryland ($90.00).

Amir would pay $60 sales tax in Washington, DC.


I hope this answer was in depth enough to help you out so that you can do this on your own in the future. :)

3 0
3 years ago
Read 2 more answers
Could someone help pls
Anna007 [38]

Answer:

40%

Step-by-step explanation:

6/15=favorable amount/total amount

6/15=2/5

2/5*20

8 0
3 years ago
Read 2 more answers
Please help me with this!!! I will mark brainliest!!
wolverine [178]

Hello from MrBillDoesMath!

Answer:

-9 sqrt(5)


Discussion:

-2 sqrt(20) -  sqrt(125) =

-2 *2 sqrt(5) - sqrt(125)=                                as 20 = 4* 5

-4sqrt(5)- 5 sqrt(5)  =                                      as 125 = 25 *5

(-4 -5) sqrt(5) =

-9 sqrt(5)


Thank you,

MrB

8 0
3 years ago
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