Estimation help find the reasonableness of the final answer.
Hope this helps!
We have that
<span>points A (-5, 6) and B (7, -1)
Part A)
find the distance
d=</span>√[(y2-y1)²+(x2-x1)²]-------> d=√[(-1-6)²+(7+5)²]----> d=√(49+144)
d=√193 units
Part B)
find the midpoint
ABx=(x1+x2)/2-----> (-5+7)/2-----> ABx=1
ABy=(y1+y2)/2-----> (-1+6)/2-----> ABy=2.5
the midpoint is (1,2.5)
Part C)
find the slope
m=(y2-y1)/(x2-x1)-----> m=(-1-6)/(7+5)--------> m=-7/12
the slope m=-7/12
Answer: 65%
Step-by-step explanation:
2258 glove-784 remaining = 1474 gloves used
now create part to whole relationship
1474 gloves used/2258 total gloves = 0.65 approx or 65%
Answer:
(0, 3)
Step-by-step explanation:
Subtract 3 units from the X-coordinate
Add 4 units from the Y-coordinate
9514 1404 393
Answer:
179 ft
Step-by-step explanation:
The applicable trig relation is ...
Tan = Opposite/Adjacent.
The height of the lighthouse is the opposite side of the right triangle. The adjacent side to the angle of elevation from the boat is the distance to the lighthouse base. Then ...
tan(50°) = height/(150 ft)
height = (150 ft)(tan(50°)) ≈ 178.76 ft
The height of the lighthouse is about 179 feet.
