<h2>
Change of the distance between the observer and the airplane when X = 5 miles is 348.84 mph</h2>
Step-by-step explanation:
We have by Pythagoras theorem
Distance between the observer and the airplane² = Horizontal distance² + Altitude²
d² = h² + a²
Here we have
h = X = 5 miles
a = 7 miles
d² = 5² + 7² = 74
d =8.60 miles

Differentiating d² = h² + a² with respect to time

Change of the distance between the observer and the airplane when X = 5 miles is 348.84 mph
Answer:
y -G = -1/3 ( x- F)
Step-by-step explanation:
The line on the plane has a slope
m = (y2-y1) /(x2-x1)
(0,-2) and (1,1)
= (1- -2)/( 1-0)
= (1+2)/(1-0)
= 3/1
Perpendicular lines have slopes that multiply to -1
m * 3 = -1
Divide by 3
m = -1/3
The perpendicular line has a slope of -1
The point slope equation is
y - y1 = m(x-x1)
y -G = -1/3 ( x- F)
Answer: 30 degrees
Step-by-step explanation:
1 hour = 60 min = 360 degree
1 min = 360/60 degree
1 min = 6 degree
and the gap of hour hand and minute hand at 1pm, is of 5 min
therefore acute angle formed is 5 X 6 = 30 degrees.
:-)
Answer:
B
Step-by-step explanation:
The equation of a circle is denoted by:
, where (h, k) is the center and r is the radius.
Here, we see that the center is (0, 0), so h = 0 and k = 0. Also, the radius is
, so r =
and
.
Then we can write our equation:


The answer is B.
Hope this helps!