Answer:
x = 7
Step-by-step explanation:
Similar figures have sides that are proportional. Setting up a proportion for the sides of the figures will help solve for 'x':
Cross-multiply: 3(x + 1) = 6(x - 3)
Distribute: 3x + 3 = 6x - 18
Combine like terms: 21 = 3x
Solve for 'x': x = 7
Option D is correct. The correct option for the recursive formula is
Given the sequence 10, 14, 18...
The first term is 10, hence
a1 = 10
The previous terms will be
From the sequence, we can see that <em>4 is being added to the previous term to get the next term</em>. Hence the nth term will be expressed as:
Get the term before the first term
If n = 1
Hence the correct option for the recursive formula is
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Answer:
Therefore,
The volume of the geode, rounded to the nearest tenth is 640.1 feet³.
Step-by-step explanation:
Given:
Geode shaped approximately like a cylinder. such that
Height = h = 26 feet
Diameter = d = 5.6 feet
To Find:
volume of the geode = ?
Solution:
Geode shaped approximately like a cylinder,
So, Volume of Cylinder is given by,
Where,
Height = h
Radius = r
pi = 3.14
Substituting the values we get
Therefore,
The volume of the geode, rounded to the nearest tenth is 640.1 feet³.