Answer:
14) 21.136505024965 m
15) 43.076759215619 km
Step-by-step explanation:
14)
let h be the height of the lighthouse:
tan(41.3) = 18.7/h
Then
h = 18.7÷tan(41.5)
= 21.136505024965 m
………………………………………
15)
90-71.4 =18.6
Let s be the distance that the plane flew
towards the south:
tan(90 - 71.4) = s/128
Then
tan(18.6) = s/128
Then
s = tan(18.6)×128
= 43.076759215619 km
Answer:
Use the cosine rule
Step-by-step explanation:
1. Apply formula of c^2 = a^2 + b^2 - 2abcosC
2. Substitute known values in: c^2 = 36 + 4900 - 840cos120
3. Apply algebra and use the calculator
4. Final answer is 73.18 (2 decimal places)
Answer:
NO
Step-by-step explanation:
Recall: for a relation or a set of points to be a function, every x-value or input must have exactly one y-value or output.
From the given set of points, the x-value (inputs), -2, has two y-values (inputs), 1 and 3.
Therefore, the set of points does not represent a function.
Trapezoid Area =
[ ( Sum of the rules ) × ( height ) ] ÷ 2
_________________________________
Area = [ ( 6 + 12 ) × 8 ] ÷ 2
Area = [ 18 × 8 ] ÷ 2
Area = ( 18/2 ) × 8
Area = 9 × 8
Area = 72
Answer:
8
Step-by-step explanation: