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3 years ago

14

The initial population of bacteria in a lab test is 400. The number of bacteria doubles every 30 minutes. Predict the bacteria p

opulation at the end of three hours

1 answer:

vladimir1956 [14]3 years ago

6 0

25,600 will be the bacteria population after doubling every 30 minutes for 3 hours.

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Answer:

The area of the triangle is $346.0\ mm^2$

Step-by-step explanation:

Given

Triangle VWU

Required

Determine the Area of the Triangle

First, we'll solve for the third angle

Angles in a triangle when added equals 180; So

$36 + 24 +$

$60 +$

Next is to determine the length of VW using Sine Law which goes thus

$\frac{VW}{Sin24} = \frac{34}{Sin36}$ (Because 24 degrees is the angle opposite side VW)

Multiply both sides by Sin24

$SIn24 * \frac{VW}{Sin24} = \frac{34}{Sin36} * Sin24$

$VW = \frac{34}{Sin36} * Sin24$

$VW = \frac{34}{0.5878} * 0.4067$

$VW = 23.5 mm$ (Approximated)

<em>At this stage, we have two known sides and two known angles;</em>

<em>The Area can be calculated as the 1/2 * the products of two sides * Sin of the angle between the two sides</em>

Considering VW and VU

VW = 23.5 (Calculated);

VU = 34 (Given)

The angle between these two sides is 120 (Calculated);

Hence;

$Area = \frac{1}{2} * 23.5 * 34 * Sin120$

$Area = \frac{1}{2} * 23.5 * 34 * 0.8660$

$Area = \frac{1}{2} * 691.934$

$Area = 346.0 mm^2$

<em>Hence, the area of the triangle is </em> $346.0\ mm^2$

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3 years ago