A dilation of factor k multiplies all lengths by k.
So, in your case, all lengths double. The new length is 4.
The percent of the discount is 28 percent off
Answer: option D is the correct answer.
Step-by-step explanation:
The given sequence is a geometric sequence because the consecutive terms differ by a common ratio.
The formula for determining the nth term of a geometric progression is expressed as
an = a1r^(n - 1)
Where
a1 represents the first term of the sequence.
r represents the common ratio.
n represents the number of terms.
From the information given,
a1 = 36
r = 12/36 = 4/12 = 1/3
Therefore, the formula for the nth term of the sequence is
an = 36 × 1/3^(n - 1)
an = 36 × 3^-1(n - 1)
an = 36 × 3^(-n + 1)
an = 36 × 3^(1 - n)
The value of angle C in the triangle is 50°.
<h3>How to calculate the triangle?</h3>
From the information given, the angle A = 60° while B is given as 70° and we are told to calculate the value of C.
It should be noted that the sum of angles on a triangle is 180°. Therefore, the value of C will be:
= 180° - (60° + 70°)
= 180° - 130°
= 50°
Learn more about triangles on:
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Answer:
8.48%
Step-by-step explanation:
Bill's weight decreases from 64.8 kg to 59.3 kg.
We need to find the percentage decrease in Bill's weight. It can be calculated as follows :

So, the required decrease in percentage is 8.48%.