Han is cycling at a speed of -8 miles per hour; if he starts at the same zero point, what will his position be after 45 minutes?
1 answer:
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Answer:
6√3 square units
Step-by-step explanation:
The ratios of side lengths in a 30°-60°-90° triangle are 1 : √3 : 2. Using this fact, we can find the lengths of the orthogonal sides of the triangle to be ...
3(2/√3) = 2√3 . . . . side AB in the attached figure
and
2·3 = 6 . . . . . . . . . . side AC in the attached figure
Then the area of the triangle is ...
A = 1/2bh
A = 1/2(6)(2√3) = 6√3 . . . . square units
Answer:
1 hour and 7 minutes
Step-by-step explanation:
- set up two equations:
=
- cross multiply: 4.42x =294
- solve for x: 294 ÷ 4.42 = 66.52 or 67 minutes
The question is asking for hours rather than minutes so...
- 1 hour is 60 minutes
67 min - 60 min = 7 min
Therefore, it would take 1 hour and 7 minutes to fill a 294-gallon hot tub.