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:
<h2><u><em>
Y= 10/3 or 3.333....</em></u></h2>
Step-by-step explanation:
12y-19= 6y+1
12y-6y = 1 +19
6y = 20
y = 20/6
y= 10/3 or 3.33..
<h2><u><em>
HAVE A NICE TIME :)</em></u></h2><h2><em>
pls give a </em><u><em>
brainliest</em></u><em>
if it is CORRECT</em></h2>
Answer:
n > 4
Step-by-step explanation:
Add 1 to both sides
n > 4
Answer:
SA = 201 in^2
Step-by-step explanation:
The formula for surface area of a sphere is
SA = 4pi r^2
We know that the diameter is 8
To find the radius we cut the diameter in half.
r = d/2
r = 8/2 =4
Substitute in what we know.
SA = 4 *pi *4^2
= 4*pi*16
= 64*pi
Letting pi = 3.14
= 200.96 in^2
We want to round to the nearest whole number
SA = 201 in^2
5n+5=2n+14
5n=2n+9
3n=9
n=3
Hope This Helped
