Answer:
You are missing some of the equation my dude
Step-by-step explanation:
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:
y ≈ 5.63
Step-by-step explanation:
m∠KLN and m∠NLM have to add up to m∠KLM
m∠KLN = 47°
m∠NLM = 16y°
m∠KLM = 137°
47 + 16y = 137
16y = 90
y = 45/8
y = 5.625
y ≈ 5.63
Answer:
x = 9.5
Step-by-step explanation:
We see that the entire length of DF is equal to 34. That means segment DE and segment EF must combine to equal 34:
3x - 6 + x + 2 = 34
4x - 6 + 2 = 34
4x - 4 = 34
4x = 38
x = 9.5
Answer:
$4.25
Step-by-step explanation:
We can create a proportion to find how much 25 oz will cost:
= 
We can cross multiply to find x.
16.4x = 69.75
x = 4.25
So, this means 25 ounces of cereal will be $4.25
