1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
spin [16.1K]
3 years ago
9

A prism is created using 2 regular pentagons as bases. The apothem of each pentagon is 2.8 centimeters. Which expression represe

nts the volume of the prism, in cubic centimeters?
Mathematics
1 answer:
Tresset [83]3 years ago
6 0
The expression representing the volume of the prism is given as:
Volume=[base area]*[height]
base area is the area of the pentagon;
The area of pentagon is given by:
Area of pentagon=a^2ntan(180/n)
a=apothem length
n=number of sides
Area=2.8^2*5tan(180/5)
Area=28.48=28.5 cm^2
Therefore the expression for the volume of the prism with height,h, will be:
volume=28.5h cm^3
You might be interested in
Which fraction below represents a repeating decimal?
nikklg [1K]

Answer:

22/12

Step-by-step explanation:

3 0
2 years ago
In a popular online role playing game, players can create detailed designs for theircharacter's "costumes," or appearance. Juan
Virty [35]
P\approx0.90

1) The first thing we need to do is to find the total number of visitors. This is going to be our Sample Space

31+26+2=31+28=59 Visitors altogether

2) The next thing to do is to find the favorable event. Note that we can see that 26 people purchased only one costume.

3) The final and last step is to find the probability, so we can write out the following:

P=\frac{26}{59}=0.8965\approx0.90

Thus, this is the answer: 0.90

4 0
1 year ago
Write as a decimal 23/9
Slav-nsk [51]

Answer:

2.555555555555.....

(the 5 is repeating)

Step-by-step explanation:

This is the answer because:

1) To convert the fraction to a decimal, you have to divide the numerator by the denominator.

2) Therefore, 23/9 is 2.5 (the 5 is repeating)

Hope this helps!

8 0
3 years ago
The graph illustrates a normal distribution for the prices paid for a particular model of HD television. The mean price paid is
marysya [2.9K]

Answer:

(a) 0.14%

(b) 2.28%

(c) 48%

(d) 68%

(e) 34%

(f) 50%

Step-by-step explanation:

Let <em>X</em> be a random variable representing the prices paid for a particular model of HD television.

It is provided that <em>X</em> follows a normal distribution with mean, <em>μ</em> = $1600 and standard deviation, <em>σ</em> = $100.

(a)

Compute the probability of buyers who paid more than $1900 as follows:

P(X>1900)=P(\frac{X-\mu}{\sigma}>\frac{1900-1600}{100})

                   =P(Z>3)\\=1-P(Z

*Use a <em>z</em>-table.

Thus, the approximate percentage of buyers who paid more than $1900 is 0.14%.

(b)

Compute the probability of buyers who paid less than $1400 as follows:

P(X

                   =P(Z

*Use a <em>z</em>-table.

Thus, the approximate percentage of buyers who paid less than $1400 is 2.28%.

(c)

Compute the probability of buyers who paid between $1400 and $1600 as follows:

P(1400

                              =P(-2

*Use a <em>z</em>-table.

Thus, the approximate percentage of buyers who paid between $1400 and $1600 is 48%.

(d)

Compute the probability of buyers who paid between $1500 and $1700 as follows:

P(1500

                              =P(-1

*Use a <em>z</em>-table.

Thus, the approximate percentage of buyers who paid between $1500 and $1700 is 68%.

(e)

Compute the probability of buyers who paid between $1600 and $1700 as follows:

P(1600

                              =P(0

*Use a <em>z</em>-table.

Thus, the approximate percentage of buyers who paid between $1600 and $1700 is 34%.

(f)

Compute the probability of buyers who paid between $1600 and $1900 as follows:

P(1600

                              =P(0

*Use a <em>z</em>-table.

Thus, the approximate percentage of buyers who paid between $1600 and $1900 is 50%.

8 0
3 years ago
A candle burns down at the rate of 0.5 inches per hour. The original height of the candle was 9 inches.
Debora [2.8K]
<span>You can get those ordered pairs subtracting 9-0.5, then that result minus 0.5 because from the rate the candle reduces its height 0.5inches per each hour.Part B: Is this relation a function? Yes, because each value of x has a single result or output in “y” (image)Part C: Yes, only difference is the time, the candle reduces its height 0.45 inches per each hour, examples of ordered pairs:  (0,9)  (1,8.55) (2,8.1)</span>
5 0
3 years ago
Other questions:
  • The price of 1 lb of potatoes is $ 1.65. if all the potatoes sold today at the store bring in $ 1220, how many kilograms of pota
    13·1 answer
  • What is the value for ƒ(x) =
    8·1 answer
  • How do I find the area of each shape
    7·1 answer
  • Expand and simplify the following polynomial. be sure to write it in standard form. -6y(3y^2-2y-7)
    14·1 answer
  • Simplify without exponents.<br> 1/3(3^-2 3^5)
    15·1 answer
  • Constance is drawing a map of the block on which she lives, using a scale of 1 inch to 160 feet. The actual length of her block
    11·2 answers
  • Pls help this was due 3 minutes ago!!!!
    11·2 answers
  • Sun spot activity goes in an eleven-year cycle. The last cycle started in 2008 and ended in 2018. Here is the activity per year
    9·1 answer
  • For the graph below, what is the cost per bottle?
    9·2 answers
  • PLEASE HELP!!! WILL GIVE BRAINLIEST
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!