Step-by-step explanation:
Each interior angle=140°
(n-2)180°/n=140°
180°n-360°/n=140°
180°n-360°=140°n
180°-140°=360°
40°n=360°
n=360°/40°
n=9
Hence, the number of sides of the polygon is 9.
It is nonagon .
Answer:
Volume is
Solution:
As per the question:
Diameter, d = 40 m
Radius, r = 20 m
Now,
From north to south, we consider this vertical distance as 'y' and height, h varies linearly as a function of y:
iff
h(y) = cy + d
Then
when y = 1 m
h(- 20) = 1 m
1 = c.(- 20) + d = - 20c + d (1)
when y = 9 m
h(20) = 9 m
9 = c.20 + d = 20c + d (2)
Adding eqn (1) and (2)
d = 5 m
Using d = 5 in eqn (2), we get:
Therefore,
Now, the Volume of the pool is given by:
where
A =
Thus
Answer:
--- function
The monthly rate is 10%
Step-by-step explanation:
Given
Let
So, we have:
--- Monday
--- One month later
Required
The function
The function is represented as:
In , we have:
In , we have:
Substitute:
Solve for b
So, the function is:
To calculate the monthly rate (r), we have:
Compare to:
Make r the subject
Substitute
Express as percentage
9514 1404 393
Answer:
P(0) = 4
P(-2) = 2
Step-by-step explanation:
Put the value where the variable is and do the arithmetic.
P(0) = 2·0³ +3·0² -0 +4
P(0) = 4
__
P(-2) = 2·(-2)³ +3·(-2)² -(-2) +4 = 2(-8) +3(4) +2 +4
P(-2) = -16 +12 +2 +4
P(-2) = 2
Answer:
(10,6)
Step-by-step explanation:
The equation you would use to solve this is (x1+x2/2 , y1+y2/2) so when you plug in the numbers you get this (6+14/2 , 3+9/2) which eventually simplifies into (10, 6)