If steak costs $12.55 per pound, what will be the total cost of 0.6 pounds of steak?\
2 answers:
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The centroid of a triangle divides the median of the triangle into 1 : 2
The measure of FQ is 18, while the measure of TQ is 6
Because point T is the centroid, then we have the following ratio
Where FT = 12.
Substitute 12 for FT in the above ratio
Express as fraction
Multiply both sides by 12
This gives
Divide 12 by 2
The measure of FQ is calculated using:
Substitute 12 for FT, and 6 for TQ
Add 12 and 6
Hence, the measure of FQ is 18, while the measure of TQ is 6
Read more about centroids at:
Answer:
a) 10th term is 0.051
b) The sum of first 18 terms of given sequence is 51.48
Step-by-step explanation:
We are given the sequence 26, 13, 6.5, ..... we need to find
a) 10th term
b) Sum of first 18 terms
Before solving we need to determine if the sequence is arithmetic or geometric
The sequence is arithmetic if common difference d is same.
The sequence is geometric if common ratio r is same.
Finding common difference d: 13-26 = -13, 6.5-13= -6.5
As common difference is not same so, the sequence is not arithmetic.
Finding common ratio r : 13/26 =0.5, 6.5/13= 0.5
As common ratio is same so, the sequence is geometric.
a) Finding common difference: 13-26 = -13, 6.5-13= -6.5
As common difference is not same so, the sequence is not arithmetic.
a) 10th term
The formula to find 10th term is:
We have a₁=26 and r = 0.5 n=10
So, 10th term is 0.051
b) Sum of first 18 terms
The formula to find sum of geometric series is:
where a= 1st term, r = common ratio and n= number of terms
In the given sequence we have
a=26, r=0.5 and n=18
Finding sum of first 18 terms
So, sum of first 18 terms of given sequence is 51.48