Do you have a picture to go to this question?
Answer:
A circle is 360° all the way around; therefore, if you divide an arc's degree measure by 360°, you find the fraction of the circle's circumference that the arc makes up. Then, if you multiply the length all the way around the circle (the circle's circumference) by that fraction, you get the length along the arc
Answer:
Step-by-step explanation:
The Perimeter, P (feet) = 2 x Width(ft) + 2 x Length(ft)
P = 2*(3x-5) + 2*(2x+8)
P = 6x -10 + 4x + 16
P = 10x + 6 (in feet)
Total cost = P(ft)*(Cost ($/ft)) [The Cost is $5/ft]
Total cost = ((10x + 6)ft)*(5 ($/ft)) = <u>$(50x + 30)</u>
Since no value is given for x, this is the closest we can get to an answer.
[I notice that x must be greater than (1 2/3), otherwise, (3x-5) would be negative. Perhaps a negative distance is valid for the Klingons, but let's assume this is on Earth.]
Answer:
27 years old
Step-by-step explanation:
let Sydney's age be x, then
Devaughn's age is 3x ( three times Sydney's )
The sum of their ages is 108, thus
x + 3x = 108
4x = 108 ( divide both sides by 4 )
x = 27
Sydney is 27 years old
Answer:
Step-by-step explanation:
substitute x = r*cos(θ), y = r*sin(θ) ==> r²(cos²(θ) + sin²(θ)) = 2r²cos(θ)sin(θ). Cancel the r² on both sides. On the left, use pythagorean identity cos²(θ) + sin²(θ) = 1. On the right apply double angle identity sin(2θ) = 2cos(θ)sin(θ).
This yields 1=sin(2θ). (I assume you meant to type sin(2θ) on the right hand side of the equation).