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:

I belive it is 2.9716

Step-by-step explanation:

For the function f (x) = 8 - x2 evaluate f (-2)
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the answer is 12

Explanation: as you replace -2 it will give 4 so when u add 4 to 8 it equals to 12

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Step-by-step explanation:

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Answer:

The answer is 6.451 or 6.5 rounded

Step-by-step explanation:

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

you have two given degrees which are 21 and 90 degrees

add those numbers up and subtract it from 180. That is the last corner degree

you then use that information to find all the side lengths using the given hypotenuse length.

Btw its geometry not really trig.

Answer: 6.45 units

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.

sin(21) = [tex]\frac{opposite}{hypotenuse }[/tex]

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Graph the compound inequality on the number line. x> -7 and x<-3​

Answers

Answer:

Step-by-step explanation:

A system consists of two components A and B that operate independently. The system
fails when either component fails. The probability that component A fails is 0.2, and
the probability that component B fails is 0.1. What is the probability that the system
fails?

Answers

Answer:

0.3

Step-by-step explanation:

When one component fails, so does the other one.

a + b = P

0.1 + 0.2 = 0.3

Your answer would be 0.3 or 30%.

Hope this helps. Have a nice day.

The number of bacterial colonies of a certain type in samples of polluted water has a Poisson distribution with a mean of 3 per cubic centimeter (cm3). (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. (Round your answer to four decimal places.) 1 Correct: Your answer is correct. seenKey 1.000 (b) How many 1 cm3 samples should be selected in order to have a probability of approximately 0.95 of seeing at least one bacterial colony

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:

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

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

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]

And p is the probability of X happening.

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]

In which

[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]

In which

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

[tex]P(X = 0) = C_{8,0}.(0.9505)^{0}.(0.0495)^{8} \approx 0[/tex]

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

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

(b) How many 1 cm3 samples should be selected in order to have a probability of approximately 0.95 of seeing at least one bacterial colony

We have to find [tex]P(X \geq 1)[/tex] for samples of 1,2,3,..., until this probability is 0.95. So

n = 1

[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]

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

0.9505 > 0.95

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

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Answer:

the answer is place value

Step-by-step explanation:

suppose 11 out of 22 students said they were attending the football game. how many students out of 580 would you expect to attend the football game.

Answers

Answer: 290

Step-by-step explanation:

11/22 is half so the percentage would be 50%.

As we know it's a half you would just have to half or divide 580 by 2.

580÷2=290

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???????????????????????​

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Answer:

try

Step-by-step explanation:

try solving it on ur own or take a educated guess

There are 130 people in a sport centre.
65 people use the gym.
51 people use the swimming pool.
44 people use the track.
15 people use the gym and the pool.
14 people use the pool and the track.
10 people use the gym and the track.
1 person uses all three facilities.
Given that a randomly selected person uses the gym and the track, what is the probability they
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Answers

Answer:

1/13

Step-by-step explanation:

there are 10 people that use the gym and track and 10 is 1/13 of 130

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Answer:

30x+15

Step-by-step explanation:

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Answers

Answer:     -100 and -63

Step-by-step explanation: Don't overthink it by trying to divide it.

Answer:

-81, - 82

Step-by-step explanation:

Let the two consecutive integers be x and (x + 1)

According to the given information:

x + (x + 1) = - 163

2x + 1 = - 163

2x =-163 - 1

2x = - 164

x = - 164/2

x = - 82

x + 1 = - 82 + 1 = - 81

Thus, the two consecutive integers are - 81, - 82

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Answers

3x+1/2x+7x/x+5=
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Workup in photo below

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Answers

Answer:

31.5 or 31 1/2

Step-by-step explanation:

The formula for volume of a rectangular prism is lwh or length times width times height.

Multiply the numbers and you get 31.5 or 31 1/2

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Answer:

x=12

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

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Answer:

The second one doesn't match.

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Also, please show all of your work, you are trying to help me better understand the concept, not just give me the answer.

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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

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Q5

See attached

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

BC² = BD² + DC² = (AB + AD)² + DC²

Find the length of added red segments

AD = AC cos 65° = 14 cos 65° = 5.9DC = AC sin 65° = 14 sin 65° = 12.7

Now we can find the value of BC

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Answer:

360 - 169 equals 191

Step-by-step explanation:

191

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Play media comment.

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Answer:

$871.00

Step-by-step explanation:

If a snowball melts so that its surface area decreases at a rate of 3 cm2/min, find the rate at which the diameter decreases when the diameter is 10 cm.

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:

[tex]A = 4\pi(\frac{d}{2})^2 = \pi d^2[/tex]

Solving the question:

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]

Snowball melts so that its surface area decreases at a rate of 3 cm2/min

This means that [tex]\frac{dA}{dt} = -3[/tex]

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

This is [tex]\frac{dd}{dt}[/tex] when [tex]d = 10[/tex]. So

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

[tex]-3 = 20\pi\frac{dd}{dt}[/tex]

[tex]\frac{dd}{dt} = -\frac{3}{20\pi}[/tex]

[tex]\frac{dd}{dt} = -0.0477[/tex]

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a. 5/12
b.6/12
c.5/7
d. 6/7

Answers

B is the correct answer



3/4 times 2/3 is 0.5

6/12 is 1/2, 1/2 is 0.5

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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Answer:

i guess it is 54-11+7 , the second one

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Step-by-step explanation:

Volume formula:

V = 4/3πr³

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Rex has a collection of 160 toy dinosaurs to put into 4 boxes. He puts 5 handfuls of toy dinosaurs in each box. There are no toy dinosaurs left. Four friends estimate how many toy dinosaurs Rex has in each handful. Which estimation is the best?

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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