Answer:
No
Step-by-step explanation:
70 * 8 = 560, not 490
Instead, 70 * 7 = 490
Answer:
No, a regular pentagon does not tessellate.
In a tessellation, all the angles at a point have to add to 360 degrees, as this means there is no overlap, nor are there gaps. To find the interior angle sum of a pentagon, we use the following formula:
(n-2)*180 (where n is the number of sides)
We plug in the number of sides (5) and get:
Angle sum = (5–2)*180
Angle sum = 3*180
Angle sum = 540
Regular pentagons have equal sides and equal angles, so to find the size of the interior angle of a pentagon, we divide the angle sum by 5 and get 108 degrees for every angle.
As I said before, the angles at a point need to add up to 360, so we need to know if 108 divides evenly into 360. If it does, the shape tessellates, and, if it doesn’t, the shape does not.
360/108 = 3.33333…
This means that a regular pentagon does not tessellate.
Hope this helps!
Answer:
Step-by-step explanation:
Given the first two numbers of a sequence as 2, 6...
If it is an arithmetic difference, the common difference will be d = 6-2 = 4
Formula for calculating nth term of an ARITHMETIC sequence Tn = a+(n-1)d
a is the first term = 2
d is the common difference = 4
n is the number if terms
Substituting the given values in the formula.
Nth term Tn = 2+(n-1)4
Tn = 2+4n-4
Tn = 4n-4+2
Tn = 4n-2
2) If the sequence us a geometric sequence
Nth term of the sequence Tn = ar^(n-1)
r is the common ratio
r is gotten by the ratio of the terms I.e
r = T2/T1
r = 6/2
r = 3
Since a = 2
Tn = 2(3)^(n-1)
Hence the nth term of the geometric sequence is Tn = 2(3)^(n-1)
Okay, so -
We have one very important thing here. This little part <em>6 - (-3). </em>
Now, it's essential to remember that when we have two negatives like this, we simply draw a line straight down. It becomes a positive!
So, our question is essentially <em>5 + 6 + 3 - 8 + 4 - 3 = ?</em> instead of <em>5 + 6 - (-3) - 8 + 4 - 3!</em> =)
With that in mind, we simply solve left to right.
<em>11 + 3 - 8 + 4 - 3 = ?</em>
<em>14 - 8 + 4 - 3 = ?</em>
<em>6 + 4 - 3 = ?</em>
<em>10 - 3 = ?</em>
<em>7</em> is our final answer! =)