Find the measures of two angles, one positive and one negative that are coterminal with pi/5
1 answer:
To find coterminal angles for an angle, β, given in radians use the following formula:
coterminal angle = β + 2πk
where k is an integer {..., -3, -2, -1, 0, 1, 2, 3, ...}
Negative Coterminal Angle: k = -1
NCA = π/5 + 2π(-1)
= -9π/5
Positive Coterminal Angle: k = 1
PCA = π/5 + 2π(1)
= 11π/5
The following answers are just one of many possible answer... you have infinite number of choices for k.
coterminal angle = β + 2πk
where k is an integer {..., -3, -2, -1, 0, 1, 2, 3, ...}
Negative Coterminal Angle: k = -1
NCA = π/5 + 2π(-1)
= -9π/5
Positive Coterminal Angle: k = 1
PCA = π/5 + 2π(1)
= 11π/5
The following answers are just one of many possible answer... you have infinite number of choices for k.
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Answer:
There are 122 one dollar bills, 11 five dollar bills and 5 ten dollar bills.
Step-by-step explanation:
There are bills of one dollar, five dollars and ten dollars on the cash drawer, therefore the sum of all of them multiplied by their respective values must be equal to the total amount of money on the drawer. We will call the number of one dollar bills, five dollar bills and ten dollar bills, respectively "x","y" and "z", therefore we can create the following expression:
We know that there are six more 5 dollar bills than 10 dollar bills and that the number of 1 dollar bills is two more than 24 times the number of 10 dollar bills, therefore:
Applying these values on the first equation, we have:
Applying z to the formulas of y and x, we have:
There are 122 one dollar bills, 11 five dollar bills and 5 ten dollar bills.
If Ava has 34 candy bars, and each box can hold 5 bars, then we need to find out how many boxes that are filled up.
Divide the number of candy bars (34), by the number each box can hold (5)
Since we cannot have 6.8 boxes, we have to round down to 6.
To check our answer, we multiply the number of boxes (6), by the number of bars in each box (5), to get 30. We add Ava's extra bars (4), and we get the number we started off with: 34. This proves our answer is correct!