I’m pretty sure answer is A and i’m
Answer:
Here, we will use the formula from trigonometry which defines a radian
we know that an angle is a radian when the length of the radius of the circle is equal to the length of the arc formed
hence, if the radius is r and the arc is r, the angle (in radians) will be 1
if the radius is r and the arc is 2r, the angle in radians will be equal to:
length of arc / radius = 2r/r = 2 radians
I believe this will explain what is actually happening in these type of questions
So, the equation:
Θ(in radians) = s / r (where the length of arc is s and the radius is r)
π/4 = s / 12
s = 3π or 9.42 inches
X/9=1
Multiply both sides by 9. So x=9.
Answer:
A unit rate is the rate of change in a relationship where the rate is per 1.
The rate of change is the ratio between the x and y (or input and output) values in a relationship. Another term for the rate of change for proportional relationships is the constant of proportionality.
If the rate of change is yx, then so is the constant of proportionality. To simplify things, we set yx=k, where k represents the constant of proportionality.
If you solve a yx=k equation for y, (like this: y=kx), it is called a direct variation equation. In a direct variation equation, y varies directly with x. When x increases or decreases, y also increases or decreases by the same proportion.
To find y in a direct variation equation, multiply x by the constant of proportionality, k.
For example: Given the relationship y=7x, the constant of proportionality k=7, so if x=3, then y=3×7 or 21.
Given the same relationship, if x=7, then y=7×7, or 49.
Step-by-step explanation:
Lets price of article = x
Tax is 8% of article = 0.08x
x+0.08x=7.02
1.08x=7.02
x=7.02/1.08
x=6.5
The retail price is $6.50.