Focus on triangles DFC and DFE:
- They are both right triangles because DF is perpendicular to EC
So, the two triangles are congruent. It follows that CF=FE, and in particular

And since x=3, the length of EF is

Answer:
225 miles
Step-by-step explanation:
We start by converting it into a fraction, then multiply by the quantity

Answer:
q(p)= -3000p+12000
Step-by-step explanation:
For the function to be linear,
q(p)= mp + c
where
q(p): number of hamburgers sold
p: price per hamburger
m: gradient of the function
c: constant of the function
q(p)=6000 when p=2
6000=2m+c .................... equation I
0=4m+c
c=-4m........................ equation II
Substitute value of c in equation I
6000=2m-4m
m= -3000
c=12000
q(p)= -3000p+12000
Answer:
24/60 = 2/5
Step-by-step explanation: dont have one
Answer: 32.23°
Suppose the setpoint of a helicopter is A and that of a car is C and that of the road is B
The distance from the helicopter to the car and the road forms a right triangle
=> ΔABC is a right triangle at B
=> the angle of depression from the helicopter from the car is ∠ACB
we have: ΔABC is a right triangle => sin ∠ACB = 24/45
=> m∠ACB = 32.23°
Step-by-step explanation: