The top of the lid to a small container is in the shape of a square with a side length of 6 centimeters, as shown. What is the
1 answer:
<u>Given</u>:
The top of the lid to a small container is in the shape of a square with a side length of 6 centimeters.
We need to determine the area of the top of the lid.
<u>Area of the top of the lid:</u>
The area of the top of the lid can be determined using the formula,
where s is the side length of the square
Substituting in the above formula, we get;
Therefore, the area of the top of the lid is 36 cm²
Hence, Option C is the correct answer.
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The sum of the first four terms of the sequence is 22.
In this question,
The formula of sum of linear sequence is
The sum of the first ten terms of a linear sequence is 145
⇒
⇒ 145 = 5 (2a+9d)
⇒
⇒ 29 = 2a + 9d ------- (1)
The sum of the next ten term is 445, so the sum of first twenty terms is
⇒ 145 + 445
⇒
⇒ 590 = 10 (2a + 19d)
⇒
⇒ 59 = 2a + 19d -------- (2)
Now subtract (2) from (1),
⇒ 30 = 10d
⇒ d =
⇒ d = 3
Substitute d in (1), we get
⇒ 29 = 2a + 9(3)
⇒ 29 = 2a + 27
⇒ 29 - 27 = 2a
⇒ 2 = 2a
⇒ a =
⇒ a = 1
Thus, sum of first four terms is
⇒
⇒
⇒ S₄ = 2(2+9)
⇒ S₄ = 2(11)
⇒ S₄ = 22.
Hence we can conclude that the sum of the first four terms of the sequence is 22.
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