(8 / 5) ^ 2 = 2.56
So, the larger pentagon will have an area that is 2.56 greater than the smaller pentagon.
Large pentagon area = 43.01 * 2.56 = 110.10 square inches.
Note that 1.485 is the same as 1485/1000, the ratio of two integers. Thus, 1.485 is rational.
Answer:
49/144
Step-by-step explanation:
2. 22
6. 12
7. 420x^3
10. 7
14. 1
Answer:
For a point defined bt a radius R, and an angle θ measured from the positive x-axis (like the one in the image)
The transformation to rectangular coordinates is written as:
x = R*cos(θ)
y = R*sin(θ)
Here we are in the unit circle, so we have a radius equal to 1, so R = 1.
Then the exact coordinates of the point are:
(cos(θ), sin(θ))
2) We want to mark a point Q in the unit circle sch that the tangent has a value of 0.
Remember that:
tan(x) = sin(x)/cos(x)
So if sin(x) = 0, then:
tan(x) = sin(x)/cos(x) = 0/cos(x) = 0
So tan(x) is 0 in the points such that the sine function is zero.
These values are:
sin(0°) = 0
sin(180°) = 0
Then the two possible points where the tangent is zero are the ones drawn in the image below.