Answer:
h = (10 ft)(1.428) = 14.28 ft
Step-by-step explanation:
Represent the height of the nest by h. This is the vertical side of a triangle. The horizontal side is 10 ft.
The following relationship is true:
tan 55 degrees = (opposite side) / (adjacent side), and in this case,
tan 55 degrees = h / 10 ft, so that:
h = height of nest = (10 ft)(tan 55 degrees), or
h = (10 ft)(1.428) = 14.28 ft
Answer:
-11/30, -1/6, 2/5
Step-by-step explanation:
first, make the question in the same denominator
= 12/30, -5/30, -11/30
= -11/30, -5/30, 12/30
= -11/30, -1/6, 2/5
Answer:
y = 0.3
Step-by-step explanation:
Solve for y:
(3.2y - 1.8) - (5.2 y + 3.4) = -5.8
-(5.2y + 3.4) = -5.2y - 3.4:
3.2y - 1.8 -5.2y - 3.4 = -5.8
Grouping like terms, 3.2y - 1.8 - 5.2y - 3.4 = (3.2y - 5.2y) + (-1.8 - 3.4):
(3.2y - 5.2y) + (-1.8 - 3.4) = -5.8
3.2y - 5.2y = -2 y:
-2y + (-1.8 - 3.4) = -5.8
-1.8 - 3.4 = -5.2:
-5.2 - 2y = -5.8
Add 5.2` to both sides:
(5.2 - 5.2) - 2y = 5.2 - 5.8
5.2 - 5.2 = 0:
-2y = 5.2 - 5.8
5.2 - 5.8 = -0.6:
-2y = -0.6
Divide both sides of -2y = -0.6 by -2:
y = 0.3
