Using the Euler's formula, the number of segments in the pentagonal prism is: 15.
<h3>What is the Euler's Formula?</h3>
The Euler's formula is given as, F + V = E + 2, where:
- F = number of faces (number of regions)
- V = vertices
- E = number of edges (number of segments).
Given that the pentagonal prism has the following dimensions:
- F = 7
- V = 10
- E = number of segments = ?
Plug in the values into the Euler's formula, F + V = E + 2:
7 + 10 = E + 2
17 - 2 = E
E = 15
Therefore, using the Euler's formula, the number of segments in the pentagonal prism is: 15.
Learn more about the Euler's formula on:
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Answer:
Step-by-step explanation:
download an app called connects go to the app store and look up geometry and scroll down its blue and has a figure 8 on it
The intercepts are x intercept: (-1/7,0) and y intercept: (0,1/4)
<h3>How to determine the intercepts?</h3>
The function is given as:
7x-5=4y-6
Set y = 0 to determine the x-intercept
7x - 5 = -6
Add 5 to both sides
7x = -1
Divide by 7
x = -1/7
Set x = 0 to determine the y-intercept
- 5 = 4y - 6
Add 6 to both sides
4y = 1
Divide by 4
y = 1/4
Hence, the intercepts are x intercept: (-1/7,0) and y intercept: (0,1/4)
Read more about intercepts at:
brainly.com/question/14180189
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<h3>
HCF of 4 and 9 is 1</h3>
- HCF of 4 and 9 is the largest possible number that divides 4 and 9 exactly without any remainder. The factors of 4 and 9 are 1, 2, 4 and 1, 3, 9 respectively.
So , the HCF of 4 and 9 is 1