<span>Answer:
After you've diagrammed the scenario, you can see that a right triangle forms after 200 ft of string had been let out. Now let the angle formed between the string and the horizontal plane be θ (now, the hypotenuse = 200 ft, and with reference to the θ, opposite side = 100 ft)
so we have, sin θ = opp / hyp = 100/200 = 1/2
therefore, θ = 30
now horizontal distance travelled by the kite (again assuming the person flying the kite is still/not moving) or adjacent side = cos θ x hypotenuse = (cos 30) x 200 ft = 173 ft
time elapsed so far = distance / speed = 173 ft / (8 ft/s) = 21.66 secs
rate at which angle is decreasing = total angle covered / time elapsed = 30/21.66 = 1.39 degrees / sec
you may want to convert it to radians if that's what you are looking for. 1.39 degrees/sec = 1.39 x ( π / 180) = 0.024 radians/sec</span>
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Subtract the following:
A) 18 rupees 9 paise from 75 rupees 80 paise.
B) 49 rupees 79 paise from 123 rupees 68 paise.
Answer
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Hint: Use decimal concept.
We know that, 1 rupee = 100 paise. We can reframe these questions as follows:
18 rupees 9 paise from 75 rupees 80 paise
18 rupees 9 paise can be represented as 18.09 rupees and 75 rupees 80 paise can be represented as 75.80 rupees. Now, on subtracting we’ll get,
75.80−18.09−−−−−− 57.71
Which means 57 rupees 71 paise
49 rupees 79 paise from 123 rupees 68 paise
49 rupees 79 paise can be represented as 49.79 rupees and 123 rupees 68 paise can be represented as 123.68 rupees. Now, on subtracting we’ll get,
123.68 −49.79−−−−−− 73.89
Which means 73 rupees 89 paise.
Note: We can also perform the subtraction by making all units the same that are paise and then subtract.
Solution :
Now, simplifying the given equation :
( Using, (a+b)² = a² + 2ab + b² )
Therefore, the simplification of given equation is :
When you look at the expression, 54 + 27, what do the two addends have in common?The first thing I notice is that 54 = 2(27), which means that 27 is a factor of both. Since, 27 is actually one of the addends, it's the greatest factor of 27 and therefore the greatest common factor. So,54 + 27 = 27(2+1)54 + 27 = 27(3)
20.96 × 0.92 = 19.2832 = 19.3