Answer:
The distance between the zoo and the library is 400ft
Step-by-step explanation:
Let x be the distance between point G and the zoo
Let y be the distance between the zoo and the library
To solve this problem quickly, we use trigonometric relations
tan(angle) = opposite cathetus / adjacent cathetus
In this case
tan(30) = (200√3) / (x+y)
(x+y) = (200√3)/ tan(30)
(x+y) = 600 ft
For the other angle
tan(60) = (200√3) / (x)
(x) = (200√3)/ tan(60)
x = 200 ft
y = 600 ft - 200 ft = 400 ft
The distance between the zoo and the library is 400ft
A solution to the equation is (-3,-2)
Do distance divided by time to get the speed.
200 / 2.5 = 80.
The speed is 80 miles per hour(mph).
Hope this helps :)
Answer:
l = A/w
Step-by-step explanation:
Let 'A' equal area. If the formula for the area of a rectangle is A = lw, you need to get 'h' alone. Divide 'h' by 'l' and by V to get the answer, l = A/w.
x = 4 and x = - 9
In both cases the angles inside the parallel lines are same sided interior angles
24x - 1 + 20x + 5 = 180
44x + 4 = 180 (subtract 4 from both sides )
44x = 176 ( divide both sides by 44 )
x = 
= 4
Similarly
x + 109 + x + 89 = 180
2x + 198 = 180 ( subtract 198 from both sides )
2x = - 18
x = 
= - 9
