Answer:
6 sides
Step-by-step explanation:
The measure of one interior angle of a regular polygon is two times the measure of one of its exterior angles. How many sides does this polygon have?
Let us represent:
Sum of Exterior angle as x
Sum of Interior angle as y
Note that:
The sum of the exterior angles of a polygon = 180 - The sum of the interior angles
Hence,
The sum of the exterior angles of a polygon + The sum of the interior angles = 180
x + y = 180
The measure of one interior angle of a regular polygon is two times the measure of one of its exterior angles.
2x = y
Substituting
x + 2x = 180°
3x = 180°
x = 180/3
x = 60°
Solving for y
2x = y
2 × 60° = y
120° = y
Hence,
Sum of Exterior angle as x = 60°
Sum of Interior angle as y = 120°
The number of sides of a polygon is
360°÷ Sum of Exterior angles
= 360° ÷ 60
= 6 sides
<span>V(h 24) = 30 cm*20 cm*24 cm = 14400 cm³ = 14,4 liters</span>
<span>V(h 15) = 30 cm*20 cm*15 cm = 9000 cm³ = 9 liters</span>
<span> + 6,5 liters = + 6500 cm³ </span>
9 liters + 6,5 liters = 15,5 liters => 15,5 liters -14,4 liters = 1,1 liters
now 15500 cm³ => 1100 cm³ =1,1 liters too much !!
Answer: 1,1 liters of water overflow the container.<span>
</span>
Answer:
<h3>Hence required integers are 11 and 13</h3>
Let x an odd positive integer
Then, according to question
x^2 +(x+2)^2=290
2x^2 +4x−286=0
x^2 +2x−143=0
x ^2+13x−11x−143=0
(x+13)(x−11)=0
x=11 as x is positive
Hence required integers are 11 and 13
Step-by-step explanation:
Hope it is helpful....
Answer:
The volume of the sphere is 2048 in³.
Step-by-step explanation:
The volume of a sphere is given by:
Where:
r: is the radius = 8 in
Having the radius and by using 3 for π, the volume is:
Therefore, the volume of the sphere is 2048 in³.
I hope it helps you!
