Step-by-step explanation:
the line given slope = x coefficient = -5/2
Perpendicular slopes must be opposite reciprocals of each other: m1 * m2 = –1
new slope = 2/5
line equation formula = y = mx+ b
m = slope
y= 2/5x + b
from the point given (-6,0)
x = -6
y = 0
0= -12/5 + b
b = +12/5
line equation =
Answer:
b. about 91.7 cm and 44.6 cm
Step-by-step explanation:
The lengths of the diagonals can be found using the Law of Cosines.
Consider the triangle(s) formed by a diagonal. The two given sides will form the other two sides of the triangle, and the corner angles of the parallelogram will be the measure of the angle between those sides (opposite the diagonal).
For diagonal "d" and sides "a" and "b" and corner angle D, we have ...
d² = a² +b² -2ab·cos(D)
The measure of angle D will either be the given 132°, or the supplement of that, 48°. We can use the fact that the cosines of an angle and its supplement are opposites. This means the diagonal measures will be ...
d² = 60² +40² -2·60·40·cos(D) ≈ 5200 ±4800(0.66913)
d² ≈ {1988.2, 8411.8}
d ≈ {44.6, 91.7} . . . . centimeters
The diagonals are about 91.7 cm and 44.6 cm.
Answer:
36 ft²
Step-by-step explanation:
Split the figure into two shapes.
Area of figure = Area of rectangle + Area of triangle
Area of rectangle:
Area of triangle:
Area of figure =