Answer:
AC : BC = 22 : 33 = 2 : 3
Step-by-step explanation:
It is convenient to find the value of x first.
AB/AC = 1/2 = (3x -4)/(2x +12)
Cross-multiplying gives ...
2x +12 = 2(3x -4)
2x +12 = 6x -8
20 = 4x . . . . . . . add 8-2x to both sides
5 = x . . . . . . . . . . divide by 4
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So the side lengths are ...
- AB = 3x -4 = 3·5 -4 = 11
- AC = 2x +12 = 2·5 +12 = 22
- BC = 7x -2 = 7·5 -2 = 33
Then the ratio of interest is ...
AC : BC = 22 : 33
AC : BC = 2 : 3 . . . . . . (divide by 11 to simplify)
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<em>Comment on the triangle</em>
We note that AB+AC=BC, so this "triangle" is actually a line segment 33 cm long.
Answer:
D = 13 units
Step-by-step explanation:
<u><em>Using Distance Formula to find the length.</em></u>
Distance Formula =
D =
D =
D =
D =
D = 13 units
Answer:
D
0.4
Step-by-step explanation:
P(A)=0.6
P(B)=0.3
P(B∩A)=0.5
P(A∪B)=P(A)+P(B)-P(A∩B)
P(A or B)=P(A∪B)=0.6+0.3-0.5=0.9-0.5=0.4
Answer:
5 hours 12 seconds
Step-by-step explanation:
For the entire train to pass the person, the head of the lead wagon must travel (9·16 m) in 12 seconds. It is traveling at a speed of ...
(9·16 m)/(12 s) = (144/12) m/s = 12 m/s
For the train to travel 216 km + 144 m = 216,144 m will take ...
(216,144 m)/(12 m/s) = 18,012 s = 5 hours 12 seconds
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<em>Comment on the speed</em>
The speed of this "wagon train" is about 26.8 miles per hour, faster than any human and most animals can run for long periods. The Pony Express cross-country mail delivery service maybe set a reasonable standard for cross-country travel. Its average speed was about 10 miles per hour.
B: 914-20(27.80)=X, multiply: 20(27.80)=556, 914-556=$358 :A.
C: 914-27.80=$886.20 :)