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1 answer:
9514 1404 393
Answer:
BC ≈ 17.0 (neither Crow nor Toad is correct)
Step-by-step explanation:
The left-side ratio of (2+4)/4 = 3/2 suggests BC is 3/2 times the length DE. If that were the case, BC = (3/2)(11) = 16.5, as Crow says.
The right-side ratio of (5+9)/9 = 14/9 suggests that BC 9 is 14/9 times the length DE. If that were the case, BC = (14/9)(11) = 154/9 = 17 1/9 ≈ 17.1, as Toad says.
The different ratios of the two sides (3/2 vs 14/9) tell you that the triangles are NOT similar, so the length of BC cannot be found by referring to the ratios of the given sides.
Rather, the Law of Cosines must be invoked, first to find angle A (109.471°), then to use that angle to compute the length of BC given the side lengths AB and AC. That computation gives BC ≈ 16.971. (See the second attachment.)
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There should be 19 adults on the trip.
There should be 19 adults on the trip.
Answer:
$1850
Step-by-step explanation:
Given
- The person invests a total of $9493
- Amount invested in 9% Simple interest account =x
- Amount invested in 10% Simple interest account= 9493-x
- Earnings in Interest=$930.8
The simple interest formula
where
- S.I is simple interest
- P is principle invested
- T is time period
- R is rate of interest
There fore total interest
Therefore x=1850
⇒Amount invested in 9% account= $1850