Answer:
Step-by-step explanation:
It is convenient to memorize the trig functions of the "special angles" of 30°, 45°, 60°, as well as the way the signs of trig functions change in the different quadrants. Realizing that the (x, y) coordinates on the unit circle correspond to (cos(θ), sin(θ)) can make it somewhat easier.
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<h3>20.</h3>
You have memorized that cos(x) = (√3)/2 is true for x = 30°. That is the reference angle for the 2nd-quadrant angle 180° -30° = 150°, and for the 3rd-quadrant angle 180° +30° = 210°.
Cos(x) is negative in the 2nd and 3rd quadrants, so the angles you're looking for are
150° and 210°
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<h3>Bonus</h3>
You have memorized that sin(π/4) = √2/2, and that cos(3π/4) = -√2/2. The sum of these values is ...
√2/2 + (-√2/2) = 0
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<em>Additional comments</em>
Your calculator can help you with both of these problems.
The coordinates given on the attached unit circle chart are (cos(θ), sin(θ)).
the answer is 2
there are 13 days, 6x2=12. so the answer is 2.
It's choice two. When you are putting the equation into y=mx+b form you have to subtract the 3x and put it onto the same side as 10. Then you would have 2y=-3x+10 then divide everything by 2 to have y be alone. Then it would be y=-3/2x+5 giving you the slope of the line being -3/2
Answer:
- $5.058 USD/gal
- $60.70 USD to fill the tank
Step-by-step explanation:
You want to know the cost per gallon of gas and the cost for 12 gallons of gas when the cost per liter is $1.31 CDN and the exchange rate is $1.02 USD per CAD.
<h3>Cost per gallon</h3>
The conversion between liters and gallons is ...
1 US gallon = 3.785411784 liters (exactly)
Then the cost conversion is ...
The cost per gallon in terms of US dollars is about $5.06.
<h3>Cost per tank</h3>
The cost for 12 gallons will be ...
(12 gal)×($5.058 /gal) ≈ $60.70
It will cost you $60.70 to fill your 12 gallon tank.
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<em>Additional comment</em>
The price of gas is routinely specified to tenths of a cent, both in the US and in Canada. As of today, the cost of gas in Canada has declined to $1.864 CAD/liter. At today's exchange rate of about $0.77 USD per CAD, the equivalent price is $5.406 USD/gal.
Answer:
Yes!
Step-by-step explanation:
Yes, every diameter of a circle is also a chord because a chord of a circle is any line connecting 2 parts of the circle's circumference.
