Find tan(Q). A. 1/2 B. 2/2 C. 1 D. Cannot be determined
1 answer:
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The sum of the given sequence is -6384.
<u>Step-by-step explanation:</u>
The given Arithmetic sequence is 14 + 8 + 2+ ... + ( 274) + (-280).
- The first term of the sequence = 14
- The last term of the sequence = -280
- The common difference ⇒ 14 - 8 = 6
<u>To find the number of terms in the sequence :</u>
The formula used is
where,
- n is the number of terms.
is the late term which is -280.
is the first term which is 14.
- d is the common difference which is 6.
Therefore,
⇒
⇒
⇒
⇒ n = 48, since n cannot be negative.
∴ The number of terms, n = 48.
<u>To find the sum of the arithmetic progression :</u>
The formula used is
where,
- S is the sum of the sequence.
Therefore,
⇒
⇒
⇒
∴ The sum of the given sequence is -6384.
The amount of salt is in the 350 g of feta cheese, when there is 35% of salt is in cheese, is 122.5 grams.
<h3>What is percentage of a number?</h3>Percentage of a number is the part of the whole number which is expressed in the fraction of hundredth. It is represented with "%" symbol.
35% of salt is in feta cheese. The percentage of salt is in that 350 g cheese has to be found out.
Let suppose there is x grams of slat in feta cheese of 350 g. Thus, the amount of salt (35% of 350) is,
Thus, the amount of salt is in the 350 g of feta cheese, when there is 35% of salt is in cheese, is 122.5 grams.
Learn more about the percentage here;
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