Round your answer to the nearest hundredth.
pls help :((

Answer:

Volume of regular pentagonal prism = 1.72 cm³ (Approx.)

Step-by-step explanation:

Given:

Side of regular pentagonal prism = 1 cm

Height of regular pentagonal prism = 1 cm

Find:

Volume of regular pentagonal prism

Computtaion:

Volume of regular pentagonal prism = (1/4)[√5(5+2√5)]a²h

Volume of regular pentagonal prism = (1/4)[√5(5+2√5)](1)²(1)

Volume of regular pentagonal prism = (1/4)[√5(5+2√5)]

Volume of regular pentagonal prism = (0.25)[√5{5+4.472}]

Volume of regular pentagonal prism = (0.25)[√5{9.472}]

Volume of regular pentagonal prism = (0.25)[√47.36]

Volume of regular pentagonal prism = (0.25)[6.8818]

Volume of regular pentagonal prism = 1.72045

Volume of regular pentagonal prism = 1.72 cm³ (Approx.)

Answer:

217.96 or 218.0 in Big Ideas Math

Step-by-step explanation:

volume of the whole prism - smaller inner prism

Bigger Prism (apothem = 4, height = 6)

360/5 = 72   72/2 = 36

4 · tan (36) = 2.906

2.906 · 4 = 11.6247

11.6247 · 5 = 58.1234  ← The area of the Pentagon

58 · 6 = 348.740 ← The Bigger Prism Volume

Smaller Prism (apothem = 3, height = 4)

Keep in mind that the bottom, sides, and top of the box is one centemeters thick ⇒ smaller pentagon ⇒ (apothem = 4-1, height = 6 - 2)

3 · tan (36) = 2.1796

2.1796 · 3 = 6.5389

6.5389 · 5 = 32.6944  ← small Pentagon Area

32.6944 · 4 = 130.7777  ← Small Pentagon Prism Volume

Final Step

Area of big prism - small prism

348.74041 - 130.7777 = 217.9627

Round to the nearest tenth ⇒ 218.0

Answer:

I'm sorry hindi ko po alam

Answer:

62.83

Step-by-step explanation:

Answer:

they are rational numbers

Answer:

10-15

Step-by-step explanation:

Median is the middle of the numbers (or in this case, number sets)

The middle number set is the third.

Thus, the interval would be 10-15.

Answer: 5-10

Step-by-step explanation:

the median for 11 data points would be the sixth data point which falls into the 5 to 10 years interval

Answer:

dA/dt = 31  in²/ sec

Step-by-step explanation:

The area of the triangle is:

A(t)  = (1/2)*b*h     where  b is the base and h the height

Differentiation on both sides of the equation we obtain

dA/dt  =  (1/2)* db/dt * h + (1/2)* dh/dt * b   (1)

db/dt  = 3 in/sec

dh/dt =  2 n/sec

b =  10 in

h = 14 in

By substitution in (1)

dA/dt =  0,5* 3*14 +  0,5* 2*10

dA/dt =  21 in² /sec + 10 in²/sc

dA/dt = 31  in²/ sec

Answer:

I would love to help you but what am I helping with there is no question there other that "Help me plssssss"

Step-by-step explanation:

Answer:

the correct answer is option B

Answer:

D. Length

Step-by-step explanation:

We measure the length of a line segment, and thus, the correct answer is given by option D.

The length of a line segment is the distance between it's endpoints, using the formula for the distance between two points given below.

Distance between two points:

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Answer:

0.1102 = 11.02% probability of x >= 0.337 if the windows meet the standards.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The standards for glass thickness call for the glass to average 0.325 inch with a standard deviation equal to 0.065 inch.

This means [tex]\mu = 0.325, \sigma = 0.065[/tex]

Sample of 44

This means that [tex]n = 44, s = \frac{0.065}{\sqrt{44}}[/tex]

What is the probability of x >= 0.337 if the windows meet the standards?

This is 1 subtracted by the p-value of Z when X = 0.337. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.337 - 0.325}{\frac{0.065}{\sqrt{44}}}[/tex]

[tex]Z = 1.225[/tex]

[tex]Z = 1.225[/tex] has a p-value of 0.8898

1 - 0.8898 = 0.1102

0.1102 = 11.02% probability of x >= 0.337 if the windows meet the standards.

Answer:

C.

Step-by-step explanation:

Answer:

Mind showing a picture?

Thank you!

Using it's concept, it is found that there is a 0.2727 = 27.27% probability that the ball drawn is yellow.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that the probabilities are as follows:

Then, the probability of picking a yellow ball is given by:

[tex]p = \frac{1}{3}\left(\frac{3}{11} + \frac{5}{11} + \frac{1}{11}\right) = \frac{9}{33} = 0.2727[/tex]

0.2727 = 27.27% probability that the ball drawn is yellow.

More can be learned about probabilities at https://brainly.com/question/24372153

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Answer:

This is a case of direct variation. Hence,

210/1=x/2

x=420

since 2 pandas eat it each day hence

420/7

=60

60 pounds is the answer.(sure)

Step-by-step explanation:

Hope it helps you.

Answer: 60 pounds

Step-by-step explanation:

210 pounds a week

Divide by 7 days (a week)

Equals 30 pounds a day/ per panda

There is 2 pandas so 30 pounds times 2 equals 60 pounds

Answer:

x = -4, -5, -6, -7...

Step-by-step explanation:

x = all negative integers less than -3

Answer:

The decision tree is a explained as follows

Step-by-step explanation:

Currently two options are available

   3. If he buys a used refrigerator for $200 there is 40% chance that it will work for next three years. $80 ($200 * 40%)

              a. Repair the refrigerator for $150. $90 ($150 * 60%)

              b. Buy a new refrigerator for $600. $360 ($600 * 60%)

Answer:

(-4,9)

Step-by-step explanation:

When you reflect over the y axis, The X coordinate changes to opposite, the Y doesn't change

Answer:

X = 30

Step-by-step explanation:

You can find the answer by solving for line RS through the corresponding ratio and adding it to the known value of ST.

Answer:

one of the triangles is 7.5, if you need both areas then it is 15cm2

Step-by-step explanation:

multiple 3x5=15, this will make it for a square. To create the triangle, you just divide it by two, because two triangel make a square.

The measure of m∠z is 135°.

A closed two-dimensional figure having eight sides, eight vertices, and eight interior angles is known as an octagon. An octagon is referred to as a regular octagon if all of its sides and internal angles are of equal length; otherwise, it is referred to as an irregular octagon.

As, Each inner angle is the same measure because it is a regular octagon.

To calculate the interior angle sum of a polygon, we have a formula.

The total internal angle of a polygon

= (n -2)180°, where "n" is the number of sides.

Here, n = 8

Then, sum of the interior angles.

= (8 -2)180

= 6 x 180

= 1080°

Thus, the measure of m∠z = 1080/ 8  = 135°

Learn more about Octagon here:

https://brainly.com/question/11658698

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Answer:

A) 6

Step-by-step explanation:

Answer:

20 - x = 3x

Step-by-step explanation:

A number less than 20 amounts to three times the number

20 - x = 3x

Answer:

x=5

Step-by-step explanation:

4(−1)+3=31

4−4+3=31

[tex]\boxed{30.6}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]9 \times 3.4 \\ = 30.6[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

Answer:

Step-by-step explanation:

hi: the second, the third and the last one are true

Answer:

The second, the third and the last statement is true.

Hope this helps!

Answer:

Step-by-step explanation:

2+4(6-2x)=8

2+24-8x=8

26-8x=8

26-8=8x

18/8=x

2.25=x

substitute the value of x

2+4(6-2x)

2+4(6-2*2.25)

2+6

8

therefore 8=8 so it is true

Answer:

Did this about a year ago but you should try math-way it gives the correct answers, and if you by any chance are doing ap ex go to those online tutors. You decide if it's camera on or off. Sorry I couldn't help more, it's been a while.

Answer:

Step-by-step explanation:

Answer:

this is a line with a slope of 1 and a y-intercept of 3

Answer:

2/8 - 1/5x

1/4 - 1/5x

5/20 - 4/20x

*all possible answers listed above*

Step-by-step explanation:

Are there choices?

According to the question,

The equation will be:

By solving the bracket, we get

→ [tex]2x + 8 - 6 = 5[/tex]

→       [tex]2x +2 = 5[/tex]

By subtracting "2" from both sides, we get

→ [tex]2x+2-2= 5-2[/tex]

→             [tex]2x = 3[/tex]

                [tex]x = \frac{3}{2}[/tex]

Thus the above answer is correct.

Learn more about equation here:

https://brainly.com/question/10807545

Answer:

Option A, 130°

Hope this helps!