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Answer:
@ = pi/3 (or 60 degrees) or @ = 7 pi/3 (or 420 degrees)
Discussion:
Let "@' denote the angle "theta". We are asked to find @ in the interval [0, 4 pi)
where
4cos(@) - 2 = 0. Adding 2 to both sides
4 cos(@) - 2 +2 = 2 =>
4 cos(@) = 2 Divide both sides by 4
cos(@) = 2/4 = 0.5
This implies that @ = pi/3 (or 60 degrees) or @ = (pi/3 + 2pi) = 7 pi/3 (or 420 degrees)
Thank you,
MrB
Answer:
Tyree and all of his friends get 1 ticket for $7. Next they all get 1 snack for $5. Then they all get a drink for $2. So:
1=7
1=5
1=2
Then you take each person (which there are five of then) and you times all five people by 7, 5, 2.
5 x 7=35
5 x 5=25
5 x 2=10
After that you add it all together:
35 plus 25=60
60 plus 10=70
Step-by-step explanation:
your welcome
Answer:
Colin has <em>8 sheets </em>left for his third class.
Step-by-step explanation:
Given that:
Total Number of pieces of papers = 
Number of pieces of papers used for 1st class = 5 fewer than half of the pieces in the pad
Writing the equation:
Also, Given that number of pieces of papers used for the 2nd class are 2 more than that of papers used in the 1st class.
Now, number of pieces of papers left for the third class = Total number of pieces of papers in the pad - Number of pieces of papers used in the first class - Number of pieces of papers used in the first class
So, the answer is:
Colin has <em>8</em> <em>sheets </em>left for his third class.
Answer:
31°
Step-by-step explanation:
3x + 10 = 5x - 4 ... - 3x and +4 both side
14 = 2x
x = 7
angle 1 and angle 2: 5 x 7 - 4 = 31°
check: 3 x 7 + 10 = 31°
Answer:
Options 1 and 4 are arithmetic
Step-by-step explanation:
Arithmetic means that you are adding or subtracting a number in a sequence.
For option 1, we are adding 2 every time.
-3 + 2 = -1 -1 + 2 = 1 1 + 2 = 3
For option 4, we are subtracting 7 every time.
32 - 7 = 25 25 - 7 = 18 18 - 7 = 11
Option 2 is geometric. Geometric means you are multiplying or dividing by a number in a sequence.
2 * 3 = 6 6 * 3 = 18 18 * 3 = 54
Option 3 is actually quadratic. This is similar to a arithmetic, except instead, the amount added to the number is multiplied by 2 every time.
1 + 2 = 3 (2 + 2 = 4) 3 + 4 = 7 (4 + 4 = 8) 7 + 8 = 15
