Answer:
I,R,I,I,R,I,R,R,I,R,I,R,I,I,R,R,I,I,I,I
Step-by-step explanation:
Base Surface Area = π×42
= 50.265482457437 inches2
Lateral Surface Area = π×4×√42 + 4.72440944881892
= 77.789838023204 inches2
Total Surface Area = 128.05532048064 inches2
Or in square centimeters:
Base Surface Area = π×10.162
= 324.2927866224 centimeters2
Lateral Surface Area = π×10.16×√10.162 + 122
= 501.8689189905 centimeters2
Total Surface Area = 826.1617056129 centimeters2
Answer:
48 Units
Step-by-step explanation:
Use the Pythagorean theorem to make two right triangles.
Ex= Base is cut in half to make two 9 unit bases
Then count the units from the half point.
Ex= 12 units long
Then use Pythagorean theorem to find one side of the 9-12 right triangle
Ex= 9^2+12^2=c^2
After finding that c=15 units, add all the sides back together
Ex= 18+15+15=48
The temperature at 9 am was -11 degrees.
We know that at 5 am, it was -7 degrees. Since the change of temperature is a negative number, then we subtract the absolute value of the change from -7. -7 - 3 = -10. Following this pattern, we then have:
-10 - 2 = -12 (6 am - 7 am)
-12 - 5 = -17 (7 am - 8 am)
-17 + 6 = -11 (8 am - 9 am, added since it was a positive change of temperature)
And our final answer is -11 degrees Fahrenheit.
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!
