Question 1:
(a) Using sine rule
ground/Sin 49 = plank/Sin 90
But sine 90 = 1, ground = 3 ft
Then,
3/Sin 49 = plank
Length of the plank = 3/Sin 49 ≈ 4.0 ft (rounded to nearest tenth)
(b) Height where the plank touches the wall
wall = Sqrt (plank^2 - ground^2) = Sqrt (4.0^2 - 3.0^2) ≈ 2.6 ft (Rounded to nearest tenth)
Question 2:
(a) Angle x
ground = 24 ft
support wire = 30 ft
Applying sine rule
support wire/Sin 90 = ground/Sin (90-x) ----- but Sin 90 = 1
Then,
Support wire = ground/Sin (90-x)
Sin (90-x) = ground/support wire = 24/30 = 0.8
90-x = Sin^-1(0.8) = 53.13 => x = 90-53.13 = 36.9°
(b) Height where the wire touches the tree (tree)
tree = Sqrt (support wire^2 - ground^2) = Sqrt (30^2 - 24^2) = 18 ft
Answer:
yes it is proportional because you don't buy the popcorn
Answer:
$40
Step-by-step explanation:
Multiply 12 by 100 to get 1200 then divide by 30
Answer: a=25, 139 degrees, 41 degrees
Step-by-step explanation:
to find a:
180=2a-9+5a+14
180=7a+5
7a=175
a=25
m<ABQ:
5a+14
5(25)+14
125+14
139 degrees
m<BCR:
180-139
41 degrees
I think these are correct but im not completely sure :)
From the equation given, each ticket costs 50 cents as expressed in 0.50x. Every time you increase x by one, the total cost increases by 50 cents