21 picks
altogether (2x+5x)=21
7x=21
x=3
2*3=6 orange picks
or
x=orange, y = greens
x+y=21
x/y=2/5,----> y=5x/2
x+5x/2=21
2x/2+5x/2=21
7x/2=21
7x=42,
x=6 orange picks
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For a 30-60-90 triangle
if the shorter leg (oposite 30 degrees) is x then the other leg is x√3 and the hyptonuse is 2x
so
hyptonuse=8
8=2x
4=x
longer leg is 4√3, yep
so shorter leg or height will be 4 units
Answer:
2 2/3 or 8/3
Step-by-step explanation:
Step by step I am guessing? (Is that what each question is for?)
STEP 1
First we have to find 1/3 of 23:
23/3= 1/3 of 23
Then:
5/1 = 15/3
STEP 2
Subtract:
23-15= 8/3
8/3 or 2 2/3
For this problem, we are going to use the <em>law of sines</em>, which states:
In this case, we have an angle and two sides, and we are trying to look for the third side. First, we have to find the angle which corresponds with the second side, 
. Then, we can find the third side. Using the law of sines, we can find:
We can use this to solve for :
Now, we can find 
:
Using this, we can find 
:
c is approximately 17.5.
