Answer:
side of base, a = 10.1 inches, height, h = 40.1 inches
Step-by-step explanation:
Volume of rectangular solid, V = 4096 cubic inches
Let the side of base is a and the height is h.
surface area of the solid
So, h = 40.2 inches
What is the simplest form of√1,764? A. 32(72) B. 22(32)(72) C. 21 D. 42
2 answers:
Answer:
The simplest form of√1,764 is 42.
Step-by-step explanation:
We have to write in simplest form. It can be simplified by taking its square root. If a number is multiplied with itself such that we get a original number, then that number is called square root.
For example, 3 and -3 are square roots of 9. In this case, the square root of 1764 can be determined using factorization method also.
Factors of 1764 are : 2 × 2 × 3 × 3 × 7 × 7. So, in simplest form 1764 is equal to 42.
Hence, the correct option is (d) " 42 ".
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Answer:
The 13th term is 81<em>x</em> + 59.
Step-by-step explanation:
We are given the arithmetic sequence:
And we want to find the 13th term.
Recall that for an arithmetic sequence, each subsequent term only differ by a common difference <em>d</em>. In other words:
Find the common difference by subtracting the first term from the second:
Distribute:
Combine like terms. Hence:
The common difference is (7<em>x</em> + 5).
To find the 13th term, we can write a direct formula. The direct formula for an arithmetic sequence has the form:
Where <em>a</em> is the initial term and <em>d</em> is the common difference.
The initial term is (-3<em>x</em> - 1) and the common difference is (7<em>x</em> + 5). Hence:
To find the 13th term, let <em>n</em> = 13. Hence:
Simplify:
The 13th term is 81<em>x</em> + 59.