Elena's aunt bought her a $150 savings bond when she was born. When Elena is 20 years old, the bond will have earned 105% in int
2 answers:
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Answer: Pythagorean Theorem Pieces of Right Triangles is not a justification for the proof.
Explanation : Here, is a right triangle with sides a, b and c. Perpendicular CD forms right triangles BDC and CDA.
CD measures h units, BD measures y units, DA measures x units.
Draw an altitude from point C to Line segment AB Let segment BC = a segment CA = b, segment AB = c, segment CD = h, segment DB = y, segment AD = x,
y + x = c
a/c=y/a( Similarity theorem in triangles ABC and DBC )
------(1) (Cross Product Property)
Similarly, (Similarity theorem in triangles ABC and ADC)---------(2)
(after adding equation (1) and (2) )
( By additional property of equality)
. ( because y + x=c)
Thus, it has been proved that except Pythagorean Theorem Pieces of Right Triangles we use all other properties.
Answer:
32, <u>16</u>, <u>8</u>, <u>4</u>, <u>2</u>, 1
Explanation:
The geometric mean can be represented by .
Which is the mean of the product of n numbers, used to find the average of a geometric progression.
Don't get confused by geometric mean, it is only asking you about the next numbers in the geometric sequence given the first and sixth term.
The explicit rule for a geometric sequence can be modeled by:
Where is the nth term,
is the first term in the sequence, n is the term number, and r is the common ratio.
Since we already know the first term, will simply be 32.
Since we know it's geometric, there will be an exponential relationship, which means that we will use the geometric mean to find the common ratio.
There are 6 total terms, r is raised to the n – 1 so 6 – 1 = 5, and that will be the degree of this root.
=
=
.
Therefore: .
Using all the information we have, we can find the explicit rule:
-
= 32
→
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We can test that this works by substituting the number location of the term you want to find.
For instance: