What is a prime factorization for 105
2 answers:
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Answer:
Step-by-step explanation:
A given shape that is <u>bounded</u> by three sides and has got three <em>internal angles</em> is referred to as a <u>triangle</u>. Thus the <em>value</em> of PB is <u>8.0</u> units.
A given <u>shape</u> that is <em>bounded</em> by three <em>sides</em> and has got three <em>internal angles</em> is referred to as a <em>triangle</em>. Types of <u>triangles</u> include right angle triangle, isosceles triangle, equilateral triangle, acute angle triangle, etc. The<em> sum</em> of the <u>internal</u> <u>angles</u> of any triangle is .
In the given question, point P is such that <APB = <APC = <BPC = . Also, line PB bisects <ABC into two <u>equal</u> measures. Thus;
<ABP =
Thus,
<ABP + <APB + <BAP =
30 + 120 + <BAP =
<BAP = - 150
<BAP =
Apply the <em>Sine rule</em> to determine the <u>value</u> of <em>PB</em>, such that;
=
=
BP =
=
BP = 8.0
Therefore, the <u>value</u> of <u>BP</u> = 8 units.
For more clarifications on applications of the Sine rule, visit: brainly.com/question/15018190
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Answer:
The Recursive Formula for the sequence is:
; a₁ = 125
Hence, option D is correct.
Step-by-step explanation:
We know that a geometric sequence has a constant ratio 'r'.
The formula for the nth term of the geometric sequence is
where
aₙ is the nth term of the sequence
a₁ is the first term of the sequence
r is the common ratio
We are given the explicit formula for the geometric sequence such as:
comparing with the nth term of the sequence, we get
a₁ = 125
r = 1/5
Recursive Formula:
We already know that
- a₁ = 125
- r = 1/5
We know that each successive term in the geometric sequence is 'r' times the previous term where 'r' is the common ratio.
i.e.
Thus, substituting r = 1/5
and a₁ = 125.
Therefore, the Recursive Formula for the sequence is:
; a₁ = 125
Hence, option D is correct.