Answer:
3.69 hours
Step-by-step explanation:
y = 80.25x + 78.75
y = 95.75 + 40
85.25x + 78.75 = 95.75 + 40
-85.25x -40 -85.25x -40
38.75/10.5 = 10.5x/10.5
3.690476190..... = x
rounding
3.69 = x
Answer:
y = - 2x + 17
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 2, then
y = - 2x + c ← is the partial equation
To find c substitute (6, 5) into the partial equation
5 = - 12 + c ⇒ c = 5 + 12 = 17
y = - 2x + 17 ← equation of line
Answer:
see below
Step-by-step explanation:
We know that the center is (0,0) and the radius is |3 - 0| = 3.
Standard form of a circle: (x - h)² + (y - k)² = r² where (h, k) is the center and r is the radius. Plugging in h = 0, k = 0 and r = 3 gives us x² + y² = 9.
Answer:
105°
Step-by-step explanation:
We are supposed to find the angle between the hour hand and the minute hand at a time of 2:30 in a 12 hour analog clock.
So, we have 12 segments in a clock , each segment corresponding to an hour.
Angle of each segment would be :-
At 2:30 the minute hand will be facing 6 hour direction and the hour hand between hours 2 and 3.
So the angle between them would be
So the angle between the hour and the minute hand at time 2:30 is 105°.