Answer:
A. Plane B because it was 9.33 miles away
B. 48 units
Step-by-step explanation:
A. Since the airplanes fly at an angle to the runway, their direction forms a triangle with the runway with their height above the ground as the opposite of the angle and their distance from the airport as the hypotenuse.
So for airplane A with 44° angle of departure,
sin44° = y/h where y = height above the ground and h = distance from airport
So h = y/sin44° = 6/sin44° = 8.64 miles
So for airplane B with 40° angle of departure,
sin40° = y/H where y = height above the ground and H = distance from airport
So H = y/sin40° = 6/sin40° = 9.33 miles
Since airplane B is at 9.33 miles away from the airport whereas airplane A is 8.64 miles from the airport, airplane B is farther away.
B. We know that scale factor = new size/original size
Our scale factor = 4 and original size = 12 units. So,
new size = scale factor original size = 4 × 12 = 48 units.
V = lwh
3 = (30)(40)(h)
3 = (1200)(h)
<u> </u><u>3 </u><u> </u><u /> = <u>1200h</u>
1200 1200
1/400 = h
Answer:
every 5 minutes ....
Step-by-step explanation:
A) -6
b) 49
c)23
d)-47
e)73
f)20
g)131
h)-79
i)48
j) 68
<span>x^2-2x-24 = (x - 6)(x + 4)
cause
</span>(x - 6)(x + 4)
= x^2 - 6x + 4x - 24
= x^2 - 2x - 24
answer
(x - 6)(x + 4)
hope it helps