Answer:
83.4
Step-by-step explanation:
Area of a Regular Polygon: L (of side) times apothem (height) x 1/2
L : 13.9
Looking at the triangle we can assume the height would be 12 since its logical that 3 of the 4 lines can fit in the middle of the triangle.
H: 12
13.9 x 12 = 166.8
166.8/2 = 83.4
Answer:
D
Step-by-step explanation:
The pentagon has 5 interior angles that add up to 360. To find the angle of rotational symmetry, divide 360 by 5 (you get 72). So if you rotated the shape 72 degrees, it will map onto itself. 72 times 2 is 144, and that's rotating the shape 72 degrees twice, so it will stay the same.
Answer:
h = 9x
Step-by-step explanation:
Given: i. for the cylinder, base radius = 2x cm, height = h cm
ii. for the sphere, radius = 3x cm
iii. volume of the cylinder = volume of the sphere
volume of a cylinder is given as;
volume = 

h
where: r is its base radius and h the height
volume of the given cylinder = 
x
x h
= 
x 4
x h
= 

h
volume of a sphere = 


where r is the radius.
volume of the given sphere = 
x 
= 
x 9 
= 12

Since,
volume of the cylinder = volume of the sphere
Then we have;


h = 12

4
h = 36

subtract
from both sides
4
h = 36
x
divide both sides by 4
h = 
= 9x
h = 9x
Answer: 1.01$
Step-by-step explanation:
.18 + .18=.36
.36 + .65=1.01$