Answer:
43.0°
Step-by-step explanation:
cos∅=adj/hyp
cos∅=60/82
∅=cos-1 60/82
∅=cos-1 0.731707317073
∅=42.97028393174°
Round: 43.0°
Answer <u>(assuming it can be in slope-intercept form)</u>:
Step-by-step explanation:
1) First, find the slope of the line between the two points by using the slope formula,
. Substitute the x and y values of the given points into the formula and solve:
Thus, the slope of the line is
.
2) Next, use the point-slope formula
to write the equation of the line in point-slope form. Substitute values for
,
, and
in the formula.
Since
represents the slope, substitute
in its place. Since
and
represent the x and y values of one point the line intersects, choose any of the given points (it doesn't matter which one, it will equal the same thing) and substitute its x and y values into the formula as well. (I chose (-2,0), as seen below.) Then, isolate y and expand the right side in the resulting equation to find the equation of the line in slope-intercept form:
![y-(0)=-\frac{5}{12} (x-(-2))\\y-0 = -\frac{5}{12} (x+2)\\y = -\frac{5}{12} x-\frac{5}{6}](https://tex.z-dn.net/?f=y-%280%29%3D-%5Cfrac%7B5%7D%7B12%7D%20%28x-%28-2%29%29%5C%5Cy-0%20%3D%20-%5Cfrac%7B5%7D%7B12%7D%20%28x%2B2%29%5C%5Cy%20%3D%20-%5Cfrac%7B5%7D%7B12%7D%20x-%5Cfrac%7B5%7D%7B6%7D)
Area = 1/2(diagonal) * √4*side^2 - diagonal^2
Area = 1/2(16)*√(4*17^2 - 16^2)
Area = 8 * √(4*289-256)
Area = 8 *√900
Area = 8 * 30
Area = 240 m^2
Hey!
To find the percentage increase, you must use this formula:
{(50 - 92 / 50] × 100 = 84%
So, the percent increase from 50 to 92 is: 84%.