PLS HELP ME!! :((

Find the volume, given that the apothem is 11.3 in. (hint: remember for regular polygons, A = 2 (apothem) (Perimeter) Round your answer to the nearest - tenth.

PLS HELP ME!! :((Find The Volume, Given That The Apothem Is 11.3 In. (hint: Remember For Regular Polygons,

Answers

Answer 1

Answer:

V = 3085 in³

Step-by-step explanation:

The volume is given by:

[tex] V = A*h [/tex]

Where:

A: is the area

h: is the height = 7 in

The area of the polygon can be found by using the given equation:

[tex] A = \frac{1}{2}a*p [/tex]

Where:  

a: is the apothem = 11.3 in

p: is the perimeter

The perimeter is:

[tex] p = 13*6 = 78 in [/tex]      

Hence, the volume is:

[tex] V = A*h = \frac{1}{2}a*p*h = \frac{1}{2}11.3 in*78 in*7 in = 3085 in^{3} [/tex]  

     

I hope it helps you!                      


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Answer:

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Step-by-step explanation:

The way to solve this is to find all the degrees inside the triangle first

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Step-by-step explanation:

    To solve for x, we will set up an equation using the trigonometric functions. We are given an angle (21 degrees), the opposite side of that angle (x), and the hypotenuse (18). For this, we will use the sine function.

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Answer:

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Step-by-step explanation:

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44 people use the track.
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Answer:

1/13

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

Q1

cos 59° = x/16x = 16 cos 59°x = 8.24

Q2

BC is given 23 mi

Maybe AB is needed

AB = √34² + 23² = 41 (rounded)

Q3

BC² = AB² - AC²BC = √(37² - 12²) = 35

Q4

Let the angle is x

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Added point D and segments AD and DC to help with calculation

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Now we can find the value of BC

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Answer:

x=12

.......................

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Answers

B is the correct answer



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Answer:

B) [tex]\frac{6}{12}[/tex]

Step-by-step explanation:

Note that you do not need to simplify. Simply multiply straight across:

[tex]\frac{3}{4} * \frac{2}{3} = \frac{3 * 2}{4 * 3} = \frac{6}{12}[/tex]

B) [tex]\frac{6}{12}[/tex] is your answer.

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Step-by-step explanation:

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My mind is pretty foggy on this but I know you have to set the up the equation like ?/220 = 45/100 and you have to multiply or divide something, I’m not really sure. I don’t remember anymore lol.

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

a) 1 = 100% probability that at least one sample will contain one or more bacterial colonies.

b) 1 sample should be selected in order to have a probability of approximately 0.95 of seeing at least one bacterial colony

Step-by-step explanation:

To solve this question, we need to understand the poisson and the binomial distributions.

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

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Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

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Probability of a single sample having at least one bacterial colonies.

Poisson distribution with a mean of 3 per cubic centimeter (cm3), which means that [tex]\mu = 3[/tex]

This is:

[tex]P(X \geq 3) = 1 - P(X = 0)[/tex]

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[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-3}*3^{0}}{(0)!} = 0.0495[/tex]

[tex]P(X \geq 3) = 1 - P(X = 0) = 1 - 0.0495 = 0.9505[/tex]

(a) If eight 1 cm3 samples are independently selected from this water, find the probability that at least one sample will contain one or more bacterial colonies.

Multiples samples means that the binomial distribution is used.

0.9505 probability of a sample having at least one colony, which means that [tex]p = 0.9505[/tex]

8 samples means that [tex]n = 8[/tex]

The desired probability is:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

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[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

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[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0 = 1[/tex]

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[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{1,0}.(0.9505)^{0}.(0.0495)^{1} = 0.0495[/tex]

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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I believe the answer is 5.

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Answers

Answer:

The diameter decreases at a rate of -0.0477 cm/min when it is 10 cm.

Step-by-step explanation:

Surface area of a snowball:

A snowball has a spheric format, which means that it's surface area is given by:

[tex]A = 4\pi r^2[/tex]

In which r is the radius, which is half the diameter. In function of the diameter, the area is given by:

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To solve this question, we have to implicitly derivate the area in function of t. So

[tex]\frac{dA}{dt} = 2d\pi\frac{dd}{dt}[/tex]

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Find the rate at which the diameter decreases when the diameter is 10 cm.

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[tex]\frac{dA}{dt} = 2d\pi\frac{dd}{dt}[/tex]

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A system consists of two components A and B that operate independently. The system
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Answers

Answer:

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Step-by-step explanation:

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