Lines 2 and four r perpendicular I think
Answer:
Step-by-step explanation:
A unit circle means radius of the circle = 1 unit
Let a terminal point on the circle is (x, y) and angle between the point P and x-axis is θ.
Center of the circle is origin (0, 0).
Therefore, ordered pair representing the terminal point will be (OP×Cosθ, OP×Sinθ) =
OP.Cosθ = 1×Cosθ =
Cosθ =
θ = , where n = integers
Similarly, OP×Sinθ = 1×Sinθ = -
Sinθ = -
θ = , where n = integer
Common value of θ will be, θ =
Option B will be the answer.
Answer:
Step-by-step explanation:
Remember,
This time, it's
= of
Answer:47.14 in²
Step-by-step explanation:
first, imagine the shape as being two shapes: a rectangle and a quarter of a circle
next, find the area of the rectangle(the dimensions are 11 by 4 inches): 44 in²
then, start finding the area of the quarter circle by finding the area of the circle(using the radius of 2 since 6-4 is 2) and dividing your answer by 4(since you are finding a quarter of the circle): π2²÷4
you get pi because 2² is 4 and a number divided by itself is 1
add pi to 44 and you get ≈47.14 in²
Answer: 14 feet
Step-by-step explanation:
Let the shorter piece of the board be represented by x.
Since the longer piece is 2 feet more than twice the first, this will be:
= (2 × x) + 2
= 2x + 2
We then add both pieces and equate them to 20. This will be:
x + (2x + 2) = 20
x + 2x + 2 = 20
3x + 2 = 20
3x = 20 - 2
3x = 18
x = 18/3
x = 6 feet
Shorter piece = 6 feet
Longer piece = 2x + 2 = 2(6) + 2
= 12 feet + 2 feet
= 14 feet
The longer piece of board is 14 feet