One property of parallelograms not shown in the interactive is that the opposite sides are parallel. Given a parallelogram, how
1 answer:
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Answer:
Step-by-step explanation:
Given that the number of a certain type of bacteria increases continuously at a rate proportional to the number present.
Initial population = 150
Hence equation for population P would be
where t = time in hours
When t=5, P = 450
Substitute to get
k=0.2197
is P(t)
P will double when
t =3.155
Between 3rd and 4th it would double
c) Yes it doubles when 3.155 hours lapsed from the start time since t in the equation is time lapsed from start time.
Answer:
19.4 feet
Step-by-step explanation:
When calculating distances using perpendicular angles, we use trig functions such as Sin, Cos, and Tan.
- Sine is defined in a perpendicular triangle as the ratio of the opposite side to the angle over the hypotenuse.
- Cosine is defined in a perpendicular triangle as the ratio of the adjacent side to the angle over the hypotenuse.
- Tangent is defined in a perpendicular triangle as the ratio of the opposite side over the adjacent side.
Because our angle and know side value are across from each other and we need to know the hypotenuse, we chose to use Sine.
We set up the equation .
We isolate h by multiplying h across the equal sign and dividing sin (68) across as well.
And finally we have . We input to calculator.
See the attached picture below showing the shore with the boat out at sea and the position of the person.
