Step 1: 654.75-15.00= $639.75
Therefore the club made $639.75
Answer:
E) 613.9 m2
Step-by-step explanation:
sum of measures of interior angles of a polygon of n sides:
(n - 2)180
For a pentagon:
(5 - 2)180 = 3(180) = 540
measure of one interior angle of a regular pentagon:
540/5 = 108
Draw a segment from the center of the pentagon to the top vertex. Now you have a right triangle.
The triangle has a 90 deg angle where the segment in the figure meets the side of the pentagon. Let half of the side of the pentagon be x. x is a side of the right triangle.
For the 54 deg angle in the triangle, 13 m is the opposite leg, and x is the adjacent leg.
tan A = opp/adj
tan 54 = 13/x
x = 13 m/tan 54 = 9.445 m
x is half of the side of the pentagon.
2x is the side of the pentagon.
2x = 2(9.445 m) = 18.89 m
The given 13 m segment is the apothem of the pentagon.
A = nsa/2
where n = number of sides, s = length of 1 side, a = length of apothem
A = (5)(18.89 m)(13 m)/2
A = 613.9 m^2
Answer: E) 613.9 m2
Answer:
C. The cone is ⅓ the volume of the cylinder
Step-by-step explanation:
Volume of a cylinder = πr²h
Volume of a cone = ⅓πr²h
Assuming they both have the same height (h) and radius (r), from the formula given above, we see that the cone is ⅓ of the volume of the cylinder (πr²h)
Let's demonstrate this with figures:
Hypothetically, let,
h = 3 cm
r = 3 cm
Let's plug these values into each formula for a cone and a cylinder:
Cylinder = π*3³*3 = 27π cm³
Cone = ⅓(π*3²*3) = ⅓(27π) = 9π cm³
As you can see, the volume of the cylinder (27π) is 3 times the volume of the cone (9π)
Therefore:
The cone is ⅓ the volume of the cylinder
Answer:
x=3f/2+1 sorry if thats not right because i don't know if it's a positive or negative there
Step-by-step explanation:
