24 is 2% of 120. It’s not that hard
AB = ==> distance between the bottom of the plank; and the wall ===> 3 ft.
C ====> 49 degrees
For letter a, to solve for AC:
AC ==> HYPOTENUSE. The angle C is the OPPOSITE side of AB.
use sine :
sin A ===> opposite/hypotenuse
Solve:
sin 49 ====> 3/AC
AC ====> 3 / sin 49
AC ====> 3.96 ft.
For letter b, to solve for BC:
We are now given with the base (3 ft.); and; the hypotenuse (3.96 ft.) so we can use the Pythagorean theorem:
a^2 + b^2 = c^2
Let:
a ===> AB
b ===> BC
c ===> AC
(AB)^2 + (BC)^2 ===> (AC)^2
3^2 + (BC)^2 ===> (3.96)^2
(BC)^2 ===> (3.96)^2 - 3^2
(BC)^2 ===> 6.6816
sqrt (BC)^2 ===> sqrt 6.6816
Answer: BC ===> 2.58 ft.
Hope that helps!!!! : )
Answer:
Step-by-step explanation:
20.70/90= 0.23 per foot
30*.23= 6.90
It'll cost $6.90 for 30 more feet.
Answer: 
Step-by-step explanation:
The missing figure is attached.
The perimeter of a rectangle is:
Where "l" is the lenght and "w" is the width.
You can identify in the figure that:
Then, knowing the perimeter of the rectangle, you can make the subsitution into the formula:
Now you must simplify and solve for "z"
Finally, substituting the value of "z" into 
, you get:
Answer:
(4/3)
Step-by-step explanation:
up four, right three
