The option that represents the answers for 6, 8, 10, and 14 is the second option- 31, 41, 51, 71
<h3>Sequence and Series </h3>
From the question, we are to determine the option that represents the answer for pictures 6, 8, 10, and 14
In the given diagram,
The first picture requires 6 matches
The 2nd picture requires additional 5 matches
the 3rd picture requires additional 5 matches
and so on
That is
1 → 6
2 → 6 + 5 = 11
3 → 11 + 5 = 16
4 → 16 + 5 = 21
5 → 21 + 5 = 26
6 → 26 + 5 = 31
7 → 31 + 5 = 36
8 → 36 + 5 = 41
9 → 41 + 5 = 46
10 → 46 + 5 = 51
11 → 51 + 5 = 56
12 → 56 + 5 = 61
13 → 61 + 5 = 66
14 → 66 + 5 = 71
Hence, the option that represents the answers for 6, 8, 10, and 14 is the second option- 31, 41, 51, 71
Learn more on Sequence and Series here: brainly.com/question/10321751
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Answer:
6
Step-by-step explanation:
By inscribed angle theorem
![(15x-23)\degree = \frac{1}{2}[360\degree-(91+135)\degree]\\(15x-23)\degree = \frac{1}{2}[360\degree-226\degree]\\(15x-23)\degree = \frac{1}{2}[134\degree]\\(15x-23)\degree = 67\degree\\15x-23 = 67\\15x = 67+23\\15x = 90\\x= \frac{90}{15}\\x=6](https://tex.z-dn.net/?f=%2815x-23%29%5Cdegree%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5B360%5Cdegree-%2891%2B135%29%5Cdegree%5D%5C%5C%2815x-23%29%5Cdegree%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5B360%5Cdegree-226%5Cdegree%5D%5C%5C%2815x-23%29%5Cdegree%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5B134%5Cdegree%5D%5C%5C%2815x-23%29%5Cdegree%20%3D%2067%5Cdegree%5C%5C15x-23%20%3D%2067%5C%5C15x%20%3D%2067%2B23%5C%5C15x%20%3D%2090%5C%5Cx%3D%20%5Cfrac%7B90%7D%7B15%7D%5C%5Cx%3D6)
Answer:
90
Step-by-step explanation:
Answer:
radius=3
Step-by-step explanation:
volumes of a cone = 1/3πr²h
12π = 1/3× π × r² × 4
37.7 = 12.6r²/3
cross multiply
37.7×3=12.6r²
113.1=12.6r²
make r² subject of the formula
r²=113.1÷12.6
r²=8.976
r=√8.976
r=2.996
r=3.0 (to the nearest tenth)
The answer is |-8| = x, thus x=8
<span>|x| = 8, thus x=8 or x=-8. Remember that |-8| is also 8 so there are two solutions here! </span>
<span>|x| = -8, there are no solutions because the absolute value can never be negative.</span>
