Answer:
Isolate the angle 2x, by following the reverse "order of operations".
Step-by-step explanation:
Explanation:
Step 1: Add 1 to both sides:
2
cos
2
(
2
x
)
=
1
Step 2: Divide both sides by 2:
cos
2
(
2
x
)
=
1
2
Step 3: Take the square root of both sides:
cos
(
2
x
)
=
√
2
2
or
cos
(
2
x
)
=
−
√
2
2
(don't forget the positive and negative solutions!)
Step 4: Use inverse of cosine to find the angles:
2
x
=
cos
−
1
(
√
2
2
)
or
2
x
=
cos
−
1
(
−
√
2
2
)
Step 5: Find angles that work:
2
x
=
π
4
or
2
x
=
7
π
4
or
2
x
=
3
π
4
or
2
x
=
5
π
4
Step 6: Solve for x:
x
=
π
8
,
7
π
8
,
3
π
8
,
5
π
8
or .785, 5.5, 2.36, 3.93
(decimal approximations are seen on the graph below)
Answer:
B
Step-by-step explanation:
<h2>
The length of the yard was 563 yards.</h2>
Step-by-step explanation:
Given,
The area of the yard = 6,756 square yards and
The width of the yard (b) = 12 yards
To find, the length of the yard (l) = ?
We know that,
Area of the rectangle = Length(l) × Breadth(b)
⇒ l × 12 = 6,756
⇒ l =
⇒ l = 563 yards
Thus, the length of the yard was 563 yards.
The singles digit is 0.
The 2 is the tens digit and the 4 is the hundreds digit.
The "line of best fit" is the result of a linear regression computation. If you have done that, you already know its equation.
If you have "eye-balled" the line into place, then you have to figure out its equation from points you read on the graph. We take a couple of the points to be ... (2001, 1700) and (2010, 2450)
The line through these points will have the equation
... y = (2450 -1700)/(2010 -2001)(x -2001) +1700
... y = (250/3)(x -2001) +1700
Putting x=2013 into this equation, we get ...
... y = (250/3)(2013 -2001) +1700
... = (250/3)(12) +1700
... y = 2700
The population is predicted to be 2700 in 2013.
_____
Had you drawn your graph with a vertical grid line at 2013, you could have read the number from the graph.
