Answer:
The sum of the first 37 terms of the arithmetic sequence is 2997.
Step-by-step explanation:
Arithmetic sequence concepts:
The general rule of an arithmetic sequence is the following:
In which d is the common diference between each term.
We can expand the general equation to find the nth term from the first, by the following equation:
The sum of the first n terms of an arithmetic sequence is given by:
In this question:
We want the sum of the first 37 terms, so we have to find
Then
The sum of the first 37 terms of the arithmetic sequence is 2997.
Answer:
89.132 inch
Step-by-step explanation:
“this shape is made up of one half-circle attached to a square with side lengths 16 inches. You can use 3.14 as an approximation.”
so, the square has a perimeter of 16 inch, four sides that will be 64 inch
then the half circle rule of perimeter of half circle: πr + 2r
=> perimeter of semicircle = π * 8 +2 * 8 = 41.132 inch
<em>without the bottom line of half circle= 41.132 -16 = 25.133 inch</em>
<em />
So total 25.133 + 64 =89.132 inch
have a great day and nc question
Answer: k = -8/9j + -1/9m + 1
Step 1: Flip the equation.<span><span><span><span>−8j </span>− 9k </span>+ 9 </span>= m
</span>Step 2: Add -9 to both sides.<span><span><span><span><span>−8j </span>− 9k </span>+ 9 </span>+ −9 </span>= <span>m + −9</span></span><span><span><span>−8j </span>− 9k </span>= <span>m − 9
</span></span>Step 3: Add 8j to both sides.<span><span><span><span>−8j </span>−9k </span>+ 8j </span>= <span>m −9 + 8j</span></span><span><span>−9k </span>= <span><span>8j + m </span>−9
</span></span><span>Step 4: Divide both sides by -9.
-9k/-9 = 8j + m - 9/-9
</span><span>k = -8/9j + -1/9m + 1</span>
42 divided by 5 is actually 8.4 however u cant have .4 of a rock so the answer is that each friend gets 8 rocks( including him)