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NARA [144]
3 years ago
6

HOW DO YOU FIND THE SINE, COSINE, AND TANGENT VALUES GIVEN A POINT ON A CIRCLE

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
7 0
When the circle is centered at the origin and the angle of interest (α) is measured counterclockwise from the positive x-axis, the trig functions can be determined from the coordinates of the point (x, y) and the radius of the circle (r) (which can also be determined from the coordinates of the point).

The radius is
  r = √(x² +y²)

The trig functions are (remember SOH CAH TOA?)
  sin(α) = y/r
  cos(α) = x/r
  tan(α) = y/x

These ratios hold regardless of quadrant.
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Y=-2(×-3)(x-2) to standard form <br><br>(show work)​
damaskus [11]

Answer:

y=-2x^2+10x-12

Step-by-step explanation:

graph is shown in image below

4 0
2 years ago
Suppose that a cyclist began a 364 mi ride across a state at the western edge of the​ state, at the same time that a car traveli
maw [93]
The car's average rate  is 43.7 mph. The bicycle's average rate is 12.3 mph.

To get this solution, let the bicycle's average rate be (x) and the car's average rate be (x + 31.4) mph. 

Distance= Speed x Time
364 = (x + x + 31.4) 6.5
364 = (2x + 31.4) 6.5
364/6.5 = 2x + 31.4
56 = 2x + 31.4
56 - 31.4 = 2x
24.6 = 2x
24.6/2 = x
12.3 = x

x = 12.3 mph     
x+31.4 = 43.7 mph
6 0
3 years ago
Put in order from least to greatest 2.54, 5/2, 2.7, 15/7
MArishka [77]
15/7
5/2
2.54
2.7

That’s the order from least to greatest
3 0
3 years ago
Read 2 more answers
HELP!!! I will rate brainliest to fastest and correctly: Paula invests 10,000 for 5 years at an interest rate of 10% per year. I
Tomtit [17]
15,000

Since her interest is simple, it adds the 10% to the original amount.

So, we multiply her amount (10,000) by the interest rate (.1) and by the amount of years (5).

10,000 * .1 * 5= 5,000

This is how much she has gained from said interest. Adding this to 10,000 gives us 15,000, which is the amount she will have.


Another way to do this would be to make a chart/table:

Start: 10,000
1. 11,000
2. 12,000
3. 13,000
4. 14,000
5. 15,000

And thus, we get the same answer.
7 0
3 years ago
6 times what equals 300?
nasty-shy [4]
You can find your answer by dividing if you would like so you can divide 300 by 6 to get your answer 
Answer : 50
3 0
3 years ago
Read 2 more answers
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