The longest line segment that can be drawn in a right rectangular prism that is 14cm long, 13cm wide and 11cm tall is 19.1cm.
<h3>What is a right rectangular prism?</h3>
A right rectangular prism is a three dimensional solid shape formed by 6 rectangles.
it is also called the cuboid.
Analysis:
The diagonal of the face of the prism with dimensions 14cm long and 13cm wide is the longest line segment that can be drawn.
Since rectangles have 90° on each vertex, we can use Pythagoras theorem to calculate for the length of the diagonal.
= 
+ 
= 
+ 
= 196 + 169 = 365
= 365
diagonal = 
= 19.1cm
In conclusion, the length of the longest diameter is 19.1cm
Learn more about Right rectangular prism: brainly.com/question/3317747
#SPJ1
A histogram is better for "discrete" data and a frequency polygon is better for "continuous" data.
<h3>What is histogram?</h3>
A histogram is a data representation that looks like a bar graph and buckets a wide range of categories into columns all along horizontal x-axis.
- The numeric count or percentage of happenings in the data for every column is represented by the vertical y-axis.
- Columns can be employed to visualize data distribution patterns.
- Technical analysts use the MACD histogram in trading to making data in momentum.
- The MACD histogram columns could provide buy and sell signals earlier than the MACD and signal lines.
<h3>What is
frequency polygon?</h3>
Frequency polygons are a graphs depiction of the distribution that aids in data comprehension by utilizing a specific shape.
- Frequency polygons are comparable to histograms but are more beneficial when comparing two or more different data sets.
- The graph primarily displays cumulative frequency distribution data as a line graph.
- Frequency Polygons are a type of graph that deciphers information or data and are broadly used in statistics.
- This graphic form of data representation aids in the depiction of the data's shape and trend in a systematic and organized manner.
To know more about the histogram, here
brainly.com/question/2962546
#SPJ4
I’m not sure what the first one is, but number 4 is A) y=2x+4
T = 40000 + 40000(1.03) + 40000(1.03)^2 + ... + 40000(1.03)^15
Multiply the above equation by 1.03 giving
1.03(T) = 40000(1.03) + 40000(1.03)^2 + 40000(1.03)^3 + ... + 40000(1.03)^15 + 40000(1.03)^16
Now subtract the first equation from the second to give
0.03T = 40000(1.03)^16 - 40000
0.03T = 40000(1.03^16 - 1)
0.03T = 24188.26
T = 24188.26 / 0.03 = $806275.25
