Answer:
Step-by-step explanation:
Let the hypotenuse of the smaller triangle be h units.
Then; from the Pythagoras Theorem.
From the smaller triangle;
and
From the second triangle, let the other other shorter leg of the second triangle be s units.
Then;
and
We now use the double angle property;
we plug in the values to obtain;
The coordinates represents a possible collision point of the objects according to equations r = 4cos(θ) and r = –1/ 2cos(θ) cos(∅) are (-2,2π/3).
Given Equations r = 4cos(θ) and r = –1 2cos(θ).
We have to find the coordinates of collision.
The first object is moving around the screen r = 4cos(θ).
The second object is moving around the screen r = –1 /2cos(θ).
According to question
Coordinate can be found out by equating both the equations.
4cos(θ) =–1 /2cos(θ)
2cos(θ)=-1
cos(θ)=-1/2
θ=
=120°
θ=-2π/3
Therefore the two equations are equal when
θ=2π/3
we have
r=4 cos(2π/3)=-2
and r=-1+2 cos(2π/3)
r=-2
Hence the coordinates that represent the collision point are (-2,2π/3).
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Brackets & Non Brackets
Step-by-step explanation:
You could sort them into equations with brackets and equations without brackets
Answer:
she must save $16.54 a week
Step-by-step explanation:
860/52 to get the amount of money per week, which ends at 16.538
Answer:
B. 4
Step-by-step explanation:
A direct proportion has the form
y = kx or k=y/x,
where k is the proportionality constant.
Let's test some points.
Second point
k = 8/2 = 4
Fifth point
k = 23/5.75 = 4
You will get the same result for every point, so the constant of proportionality is 4.