When she subtracts 4 from both sides, Startfraction one-half EndFraction x equals negative StartFraction one-half EndFraction x.
1 answer:
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Answer:
a)
And for this case we can rewrite the model like this:
If we integrate both sides we got:
If we use exponentials for both sides we got:
For this case and r = -0.16
So then our model would be given by:
Where t represent the number of hours
b)
Step-by-step explanation:
Part a
For this case we can assume the proportional model given by:
And for this case we can rewrite the model like this:
If we integrate both sides we got:
If we use exponentials for both sides we got:
For this case and r = -0.16
So then our model would be given by:
Where t represent the number of hours
Part b
For this case we can replace the value t=5 into the model and we got:
<u>Given:</u>
The circle has a diameter of 30 cm and a chord of 10 cm is drawn.
Radius of the circle = 15 cm
Half of the chord = 5 cm
We need to determine the distance of chord from the center of the circle.
<u>Distance of chord from the center of the circle:</u>
Let us use the Pythagorean theorem, to find the distance between the center and the chord.
Let d denote the distance between the center and the chord of the circle.
Thus, we get;
Taking square root on both sides, we get;
Thus, the distance between the center and the chord of the circle is 14.14 cm.
Hence, Option A is the correct answer.