You have 4 green picks and, after adding some orange picks, you know that every 2 picks from 3 are orange.
So, 1 green pick needs 2 orange picks, three in total. Since you have 4 green picks, then you will have in total 3·4=12 picks (4 green and 12-4=8 orange).
Answer: there are 12 picks in total.
B (1,0). -2 + 3 = 1. -2 + 2 = 0.
Answer:
Step-by-step explanation:
The cotangent of theta is:
For pi/2 < theta< pi
This means that the angle is in the second quadrant. In the second quadrant, the cosine is negative and the sine is positive. This means that the cotangent will be negative.
Secant:
In this question
So
Using cross multiplication
Now we apply the following trigonometric identity:
Since the angle is in the second quadrant, the sine is positive.
Finally, the cotangent:
Answer:
7, 11, 14 feet from shortest to longest
Step-by-step explanation:
Let's say that the shortest pipe is equal to x, and work from there.
The medium size piece is 4 feet longer than the shortest piece, so it is equal to 4+x
The longest piece is twice as long as the shortest piece, so it is equal to 2 * x.
The three pieces added up make up the 32 feet pipe, so we can write this as
(2*x) + (4+x) + x = 32
2*x + 4 + x + x = 32
4 * x + 4 = 32
subtract 4 from both sides to isolate the x and its coefficient
4 * x = 28
divide both sides by 4 to isolate the x
x= 7
Therefore, the shortest piece is x=7 feet long. The medium piece is x+4=11 feet long, and the longest piece is x*2=14 feet long
