Answer:
1240.4 mm²
Step-by-step explanation:
SA of Pentagonal pyramid:
(as)(5/2) + (sl)(5/2)
↑ ↑
base area lateral area
_____________________
a: apothem (in-radius) length, s: side length.
l: slant height.
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Since we are already given the base area which is 440.4 mm². All we need to do is find the lateral area and add both areas together.
Given that the triangular face of the lateral part has a side/base length of 16mm, and a 20mm slant height.
A triangle has an area of ½bh and since there are 5 of these faces total, (5)(½bh) = (5/2)(bh). In a three dimensional perspective, b will be s and h will be l so (sl)(5/2).
With this information the surface area is:
(16)(20)(5/2)mm + (440.4 mm²) →
800 mm² + 440.4 mm² =
1240.4 mm²
Two angles are 67.5 degrees and the 3rd angle is 45 degrees.
Formula: 2x + 45 = 180
Answer: You didn’t make an error
Answer:
g)6.88
Step-by-step explanation:
We’ll begin by finding the mean of the data set.
32+43+38+28+51=192 then 192/5=38.4
Then find the absolute value of the difference between each data value and the mean.
l32-38.4l=6.4
l43-38.4l=4.6
l38-38.4l=0.4
l28-38.4l=10.4
l51-38.4l=12.6
Lastly, find the sum of the absolute values and divide by the number of the values
6.4+4.6+0.4+10.4+12.6=34.4
34.4/5=6.88
