Answer:
0.04409 quarter
Step-by-step explanation:
Height of the pentagon = 9 ft
Edge of base = 3 ft

s is the length of any side = 3
n is the number of sides = 5
tan is the tangent function calculated in degrees

Volume of the pentagon = area of base (height )
Volume of the pentagon = 15.4852 (9)
Volume of the pentagon = 139.366
Volume of the pentagon = 139.37 cu.ft
Answer: 
Step-by-step explanation:
<u>Given information</u>
Point B = (-2, -4)
Reflection line: y = x
<u>Concept:</u>
When reflecting over the line y = x, the position of y and x in the original coordinate switches places.
This is because it is " y = x ", assuming that they could interchange
<u>Find the coordinate of Point B'</u>
Original (x, y) = (-2, -4)
Point B' = (x', y') = (y, x) = 
<em>Please refer to the attachment below for a graphical understanding</em>
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2/3 divided by 4= 2/3x1/4 (flip 4 around). 2x1=2 & 3x4=12. 2/12 or 1/6
Answer:
The length of the pendulum is 14.13 meters.
Step-by-step explanation:
The length of a pendulum is given by the formula,
, where T is the times period and L is the length of the pendulum.
Now, given that T = 2.4π seconds.
So, from the above equation, we get,

⇒ 
⇒
{We have the value of g as 9.81 m/sec²}
⇒ L = 1.44 × 9.81 = 14.13 meters. (Approx.)
Therefore, the length of the pendulum is 14.13 meters. (Answer)