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Zina [86]
3 years ago
5

There are 2,100 bacteria in a circular petri dish. The dish has a radius of 40 millimeters. What is the approximate population d

ensity? (Use 3.14 for π)
Mathematics
2 answers:
pochemuha3 years ago
6 0
A petri dish is simply a circle; thus, we use the formula of the area of the circle which is <span>πr^2. 
Given r = 40 mm
A = </span>π(40)^2 = <span>5026.55 sq. mm
</span>
Population density = bacteria count / area
PD = 2,100 / <span>5026.55
PD = </span><span>0.417782 bacteria / mm sq.

Therefore, the answer is approximately 0.418 </span><span>bacteria per square millimeter.</span>
saul85 [17]3 years ago
3 0
Determine the area of the circular petri dish through the equation, A = <span>πr^2. Substituting the radius to the equation and solving for area gives, 5024 mm^2. The population density is obtained by dividing the population with the calculated area. Thus, the population density is approximately 0.418 bacteria per mm^2. </span>
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Answer:

AC=BD

CAD=CBD

ACB=ADB

Step-by-step explanation:

You're essentially looking for anything of equal proportions. Obviously, your circle is split by several lines, and each side is symmetric. Since you know this, it's simply a matter of identifying one element then finding its symmetric match.

Follow the lines and trace the path with your finger for each question. If you do this, you'll see that AC=BD is an answer that involves a symmetric pair, because these two are equal distances and equal (but opposite) in placement.

Continuing with this method, keep track of the parts of the triangles you trace. With CAD=CBD, you trace across a hypotenuse, a leg, and a base in BOTH, making this true.

Continuing further with ACB=ADB, you trace across a hypotenuse, a leg, and a base with both AGAIN, making this true.

With AB=CD, this is obviously incorrect. You can't jump between points.

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Step-by-step explanation:

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If you have a cube measuring 1 unit on each side, how many of those cubes would fit into a space 2 units by 3 units by 4 units
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Given:

Measure of a cube = 1 unit on each side.

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To find:

Number of cubes that can be fit into the given space.

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V_1=a^3

Where, a is the side length of cube.

V_1=(1)^3

V_1=1

So, the volume of the cube is 1 cubic units.

The volume of the cuboid is:

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Putting l=2,b=3,h=4, we get

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We need to divide the volume of the space by the volume of the cube to find the number of cubes that can be fit into the given space.

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