Answer:
49.2 miles
Step-by-step explanation:
The distance remains the same. d
The time spent on the outbound trip is t1 = -------------
35 mph
and that on the inbound (return) trip is
d
t2 = -------------
45 mph
We combine these two fractions and set the sum = to 2.5 hours:
d(1/35 + 1/45) = 5/2
We wish to solve for d, the distance between home and work.
The LCD of 35, 45 and 2 is 630.
1/35 becomes 18/630; 1/45 becomes 14/630, and 5/2 becomes 1575/630. Then we have the simpler equation d(18 + 14) = 1575, or
d(32) = 1575, and d is then
d = 1575/32 = 49.2 miles
Answer:
18.84
Step-by-step explanation:
2r/2 is the circumference of half a circle. The radius is 6.
2(3.14)(6)/2 = 18.84
Please, make sure you understand the solution:
We can notice that x + (x - 28) = 90
2x - 28 = 90
2x = 118
<u>x = 59</u>
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Now for y:
We can notice that y + 90 + x = 180
y + 90 + 59 = 180
y + 149 = 180
y = 180 - 149
<u>y = 31</u>