Quick answer Sin(570) = - 1/2
Comment
570 as an angle contains 1 complete revolution of the terminal arm. The terminal arm begins at the origin and the other (in this case swings around until it records 570° turning around the x axis in an anticlockwise direction.
Anticlockwise means going from 12 o'clock to 9 o'clock to 6 o'clock then 3 o'clock and back to 12 o'clock.
What is 570° (∅) degrees equivalent to?
We keep on subtracting 360 until we get a number between 0 and 360 inclusive.
Written this way 0 ≤∅≤360
570 - 360 = 210°
So we need to find the equivalent of 210°
Method
210° = 180° + 30°
This means that ∅ is 30° below the x axis in the 3rd quadrant.
Sin(30) = 1/2
In the third quadrant, the sine is minus. so
sin(210°) = - 1/2 <<<<<<< Answer
Let the length equal x
Then the width would be 4x + 8 (8 feet more than 4 times the length)
Area = length x width:
5,472 = x * 4x+ 8
Simplify:
5472 = 4x^2 + 8x
Subtract 5472 from both sides:
4 x^2 + 8x - 5472 = 0
Use the quadratic formula to solve for x.
X = 36
Now you know the length is 36 feet
The width = 4(36) + 8 = 152 feet
Now find the perimeter: 152 + 152 + 36 + 36 = 376 feet.
The answer is B. 376
a) Sammie earns
£320×4% = £12.80
each year.
Joel earns
£420×3% = £12.60
each year.
Sammie earns the most interest.
b) Joel's interest after 5 years is
£12.60×5 = £63
so the total amount of money Joel will have is
£420 +63 = £483
We can't see the table but if every input or x has only one specific output or y then it is a function so if every different height has one number of stories then it's a function you can have it though to were say you have 18 feet and 17 feet and they are both 3 stories then it's still a function but if you have 18 feet thats 3 stories and 18 feet thats 4 stories then its not a function
Answer:
Graph 1: Consistent Dependent
Graph 2: Consistent Independent
Graph 3: Consistent Dependent
Graph 4: Inconsistent
Step-by-step explanation:
Consistent means they have at least one solution. So lines that intersect once or lines that intersect infinitely many times are both consistent systems.
If they are the system that has one solution they are considered independent.
If they are the system that has infinitely many solutions then are considered dependent.
Inconsistent means they won't intersect at all.
First graph shows the same line graphed onto itself. That means they have infinitely many solutions and is therefore a consistent dependent system.
Second graph shows the lines intersecting once. That means they have one solution and therefore is a consistent independent system.
Third graph shows the same description of graph one and is therefore a consistent dependent system.
The last graph shows parallel lines. Parallel lines do not intersect and therefore do not have a solution. So this system is inconsistent.
