Find the area of the total circle and when you find that area, multiply it by 145/360 for that is how much of the circle that area is.
Area of circle, 
r^2 and 13.69 times 3.14 is 42.9866. Then multiply by 145/360 to get about 17.3 inches squared.
The statement which best describes the association between the variables X and Y is the <em>moderate positive association</em>. It is observable that the values of X and Y are increasing, however, not in a perfect manner as there are some minor deviations. But nonetheless, the direction is clear and the values are close to each other so they have a moderate positive association.
0.0392 or 3.92%
The exponential growth formula can find the interest rate.
y - tolat value (P +I) (216)
a - principal (200)
r- rate (unkown)
x - time in years (2 yrs)
Substitute known values
divide both sides by 200
take the square root of both sides
subtract 1 on both sides
r = 0.0392 or 3.92%
Solution:
<u>Step-1: Find the slope of the line.</u>
Formula of slope: y₂ - y₁/x₂ - x₁
- y₂ - y₁/x₂ - x₁ = Slope
- => -2 - (-5)/-8 - (-4) = Slope
- => -2 + 5/-8 + 4 = Slope
- => 3/-4 = Slope
<u>Step-2: Use the point slope formula to determine the slope.</u>
Point slope form formula: y - y₁ = m(x - x₁)
- y - y₁ = m(x - x₁) = Equation of line
- => y - (-5) = -3/4{x - (-4)} = Equation of line
- => y + 5 = -3/4{x + 4} = Equation of line
- => y + 5 = -3x/4 - 3 = Equation of line
- => y = -3x/4 - 8 = Equation of line
The equation of the line is <u>y = -3x/4 - 8.</u>
