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3 years ago

Please help me thank you so much. Just not sure of my answers

Mathematics

1 answer:

Sedaia [141]3 years ago

7 0

Answer:

An interesting experiment is given. We need to address various questions based on our knowledge of calculus.

Step 2

Part (a)

Time taken for the radius to grow to 2 cm = t1 = r/0.5 = 2/0.5 = 4 hours

Time taken for the radius to become 0 = t2 and the same can be obtained by solving:

r = 2 - √t2 = 0

Hence, t2 = 22 = 4 hours

Hence, the time duration of the entire experiment (from the introduction of the bacteria until its disappearance) = t1 + t2 = 4 + 4 = 8 hours

Step 3

Part (b)

r(t) = 0.5t for 0 ≤ t ≤ 4

and

r(t) = 2 - √(t - 4) for t > 2

Step-by-step explanation:

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Given:

Angle A = 18.6°

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Length of side AB = 646 meters

To find:

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Steps:

Since we know the measure of 2 angles of a triangle we can find the measure of the third angle.

18.6° + 93° + ∠C = 180°

111.6° + ∠C = 180°

∠C = 180° - 111.6°

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Therefore the measure of angle C is 68.4°.

now we can use the law of Sines,

$\frac{BC}{sinA}=\frac{AB}{SinC}$

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$BC = 221.63$

$BC = 222$ meters

Therefore, the distance across the river is 222 meters.

Happy to help :)

If anyone need more help, feel free to ask

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