By definition we have an integer number given by:
An integer is an element of the numeric set that contains the natural numbers {N} = {1,2,3,4, ...}, its opposite and zero.
On the number line we find the negative numbers to the left of the zero and to its right the positive numbers.
We have then, according to the definition, that the following are whole numbers:
-527, 1
Answer:
B = {x | x is an integer}
-527 ∈ B
1 ∈ B
option D
Answer:
<h3>
9, 11, 13, 15</h3>
Step-by-step explanation:
{k - some integer}
2k+1 - the first odd integer (the least)
5(2k+1) - five times the least
5(2k+1)+3 -<u> three more than five times the least</u>
2k+1+2 = 2k+3 - the odd integer consecutive to 2k+1
2k+3+2 = 2k+5 - the next odd consecutive integer (third)
2k+5+2 = 2k+7 - the last odd consecutive integer (fourth)
2k+1+2k+3+2k+5+2k+7 - <u>the sum of four odd consecutive integers</u>
2k+1 + 2k+3 + 2k+5 + 2k+7 = 5(2k+1) + 3
8k + 16 = 10k + 5 + 3
- 10k -10k
-2k + 16 = 8
-16 - 16
-2k = -8
÷(-2) ÷(-2)
k = 4
2k+1 = 2•4+1 = 9
2k+3 = 2•4+3 = 11
2k+5 = 2•4+5 = 13
2k+7 = 2•4+7 = 15
Check: 9+11+13+15 = 48; 48-3 = 45; 45:5 = 9 = 2k+1
Join JH and KH.
You did that so you could measure or calculate the size of <JHK. There are 5 such central angles in a pentagon. If you drew a little circle with H as the center and you went around the circle once, you would have traveled 360 degrees. So <JHK = 360/5 = 72. Make sure you understand that before you read on.
Ok here's the trick. 144 = 2*72. That means that when you rotate the pentagon, you rotate it through Two central angles.
What will happen is that Point J will wind up at Point L and Point K will sit where N is right now. All the points not mentioned will do the same thing. They will move two points clockwise.
Answer:
The required length is 37.68 cm
Step-by-step explanation:
We have given the radius of which is 3 cm and 
which is 
We will use 
We know the formula for length of arc which is:
length of arc=radius x angle
We will substitute the values given we will get:
Hence, the required length is 37.68 cm
