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.
Answer:
51 square units
Step-by-step explanation:
First you act like each side is it’s separate rectangle.
Then you would multiply 2 and 4 to get 8, the area of one of the sides. Then you would multiply 2 and 2.5 to get 5, the area of another side. Then 2.5 times 5 to get 12.5, the last side. Now sense every side has a side the same size of itself you would take each answer and multiply it by to to get 8x2=16, 5x2=10, and 12.5x2= 25. You would add together 16, 10, and 25 to get 51 square units, the surface area.
Answer: b. 14ft
Step-by-step explanation:
In the rectangle, the opposite sides are equal. The diagonal divides the rectangle into two equal right angle triangles. The diagonal represents the hypotenuse of both right angle triangles. The length and width represents the opposite and adjacent sides of the right angle triangles.
To determine the length, L of the rectangle, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore,
16² = L² + 7²
256 = L² + 49
L² = 256 - 49 = 207
L = √207
L = 14.38
the closest to the length of this rectangle in feet is
14ft
Answer:
.625 for decimal, and 62.5 percent.
Step-by-step explanation:
1/8 is 1.25 and that times 5 is .625. .625 * 100 = 62.5
Please give me brainliest
