The leash will serve as the radius of the circle that Adrianne's dog will be running around on.
radius = 9 feet long
Area = π r²
Area = π (9ft)²
Area = π 81ft²
Circumference = 2 π r
Circumference = 2 π 9ft
Circumference = 18ft π
The circumference of the circle that the dog will be forming when it runs around his leash is 18ftπ and the area it will cover will be 81ft²π.
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Answer:
(d) x = 14√3; y = 14
Step-by-step explanation:
The side length ratios in a 30°-60°-90° triangle are 1 : √3 : 2. That is, the short side (y) is half the length of the hypotenuse (28). Only one answer choice matches ...
y = 28/2 = 14
x = y√3 = 14√3
_____
It is a good idea to remember these ratios. They show up in a lot of problems.
2sin^2 θ + sin θ - 1 = 0
2sin^2 θ + 2sin θ - sin θ - 1 = 0
2sin θ(sin θ + 1) - 1(sin θ + 1) = 0
(2sin θ - 1)(sin θ + 1) = 0
2sin θ - 1 = 0 or sin θ + 1 = 0
sin θ = 1/2 or sin θ = -1
The two values of sin θ are 1/2 and -1
Answer:
22.
23.
Step-by-step explanation:
To change the equation to polar form replace x with 
and y with 
Answer:
See explanation
Step-by-step explanation:
The question is incomplete, however, one of the requirements of this question while I searched, was to make a table and sketch the equation.
If this is the case, then, all you need to do is take the equation, Assume some values for x, and compute the values of y. Then, you can do the graph.
I begin with value from 0 to 10.
This is the example of calculations:
x = 0
y = 18.25*0 = 0
for x = 0, we get y = 0. For x = 2:
y = 18.25 * 2 = 36.5
If we keep doing this, we should get a straight line. See the graph and attached table. If the question is asking another thing, then please get back to me to answer it.
