Answer:
Morning's average rate = 50 mph, and Afternoon's average rate = 25 mph.
Step-by-step explanation:
Suppose he drove 150 miles for X hours, then his average rate in the morning was (150/X) mph.
Given that he spent 5 hours in driving.
And he drove 50 miles for (5-X) hours, then his average rate in the afternoon was 50/(5-X) mph.
Given that his average rate in the morning was twice his average rate in the afternoon.
(150/x) = 2 * 50/(5-x)
150/x = 100/(5-x)
Cross multiplying terms, we get:-
150*(5-x) = 100*x
750 - 150x = 100x
750 = 100x + 150x
750 = 250x
x = 750/250 = 3.
It means he spent 3 hours in the morning and 2 hours in the afternoon.
So morning's average rate = 150/3 = 50 mph.
and afternoon's average rate = 50/(5-3) = 25 mph.
1/10 of .9 is the same as dividing .9 by 10.
.90 / 10 = .09
.09 is the answer
We know that
in the right triangle
sin x=opposite side angle x/hypotenuse
opposite side angle x=66 mm
hypotenuse=79 mm
so
sin x=66/79
x=arc sin (66/79)-------> x=56.66°-------> x=56.7°
the answer is
x=56.7°
(x) = 95x + 25 is correct, since the $25 cost is fixed, but the $95 cost increases as x increases.
Answer:
Angle B = 106.6 degrees
Step-by-step explanation:
b^2= a^2+c^2-2*a*c*cosB
9*9 = 4*4 + 7*7 - 2*7*4*cosB
81= 16+49-56cosB Subtract 16 and 49 from both sides
16= -56cosB Divide by -56 on both sides.
cosB= -16/56 Take the arccosine of both sides
B=arccos(-16/56)
B= 106.6
