This revolves around exact trig values - no easy way to say this, you just need to memorise them. They are there for sin cos and tan, but I will give you the main tan ones below - note this is RADIANS (always work in them when you can, everything is better):
tan0: 0
tanpi/6: 1/sqrt(3)
tanpi/4: 1
tanpi/3: sqrt(3)
tanpi/2: undefined
Now we just need to equate -2pi/3 to something we understand. 2pi/3 is 1/3 of the way round a circle, so -2pi/3 is 1/3 of the way round the circle going backwards (anticlockwise), so on a diagram we already know it's in the third quadrant of the circle (somewhere between pi and 3pi/2 rads).
We also know it is pi/3 away from pi, so we are looking at sqrt(3) or -sqrt(3) because of those exact values.
Now we just need to work out if it's positive or negative. You can look up a graph of tan and it'll show that the graph intercepts y at (0,0) and has a period of pi rads. Therefore between pi and 3pi/2 rads, the values of tan are positive. Therefore, this gives us our answer of sqrt(3).
Answer:
100 miles in 20 minutes.
Step-by-step explanation:
300/60 = x/20
x = 300/60 * 20
x = 100
I think the best answer would be F.
When √10 is converted into a decimal it is 3.16, and F is the most close to that.
Hope this helps!
-5x+4y=11
substitute for x which is 5
(-5)(5)+4y=11
simplify :
4y-25=11
add 25 on both sides
4y-25=11
+25 +25
the 25 cancels out
so it would be 4y=36
and you divide both sides by 4
4/4 =36/4
which gives you (5,9)
x= 5 , y =9
Answer:
48/60=24/30=15/12=4/5 or 4:5
So your final answer is 4/5 or 4:5
Step-by-step explanation:
