Answer:
The weight of watermelon at the end of the trip is <u>500 kg.</u>
Step-by-step explanation:
Given:
The weight of watermelons is 1000kg.
At the beginning of the trip watermelon is 99% of the weight:
99% of 1000kg
kg
Now, at the end of the trip it is 98% of weight. So, let kg of water has been evaporated. So, remaining weight of the watermelon is
.
If kg of water is removed, then the amount of water left is
.
As per question, water now weighs 98% of the total weight. So,
98% of () =
(Bringing like terms on one side)
Therefore, the weight of watermelon at the end of the trip is given as:
Weight = = 1000 - 500 = 500 kg
Therefore, the watermelon weighs 500 kg at the end of trip.
Answer: Choice A
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Explanation:
Recall that and
. The connection between tangent and cotangent is simply involving the reciprocal
From this, we can say,
In the second to last step, a pair of sine terms cancel. In the last step, a pair of cosine terms cancel.
All of this shows why is identical to
Therefore, is an identity. In mathematics, an identity is when both sides are the same thing for any allowed input in the domain.
You can visually confirm that is the same as
by graphing each function (use x instead of alpha). You should note that both curves use the exact same set of points to form them. In other words, one curve is perfectly on top of the other. I recommend making the curves different colors so you can distinguish them a bit better.