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2 answers:
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We have that the fourth term of an arithmetic sequence is
a_4=14
Option C
From the question we are told
What is the fourth term of an arithmetic sequence whose first term is 23 and whose seventh term is 5?
A) 78
B) 32
C) 14
(Explain your work)
Generally the equation for the arithmetic sequence is mathematically given as
Therefore
For seventh term
Therefore
For Fourth term
a_4=14
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Answer:
400 units³
Step-by-step explanation:
The volume (V) of the square pyramid is
V = area of base × height (h)
where h is the perpendicular height.
Consider the right triangle formed by a segment from the vertex to the midpoint of the base and the slant height ( the hypotenuse )
Using Pythagoras' identity on the right triangle
h² + 5² = 13²
h² + 25 = 169 ( subtract 25 from both sides )
h² = 144 ( take the square root of both sides )
h = = 12
Area of square base = 10² = 100, hence
V = × 100 × 12 = 4 × 100 = 400
If c is the hypotenuse, we have
If instead b is the hypothenuse, you have