A = < 90°
the measure of the angle is less than 90
Answer:
A. number of days it rains in a year
Step-by-step explanation:
A. number of days it rains in a year - discrete
B. height of the grass in a nature preserve each year-continuous
C. amount of rainfall in a year-continuous
D. level of water in a rain barrel-continuous
The number of days can only be an integer and therefore is discrete data
Answer:
Arc length ![=\int_0^{\pi} \sqrt{1+[(4.5sin(4.5x))]^2}\ dx](https://tex.z-dn.net/?f=%3D%5Cint_0%5E%7B%5Cpi%7D%20%5Csqrt%7B1%2B%5B%284.5sin%284.5x%29%29%5D%5E2%7D%5C%20dx)
Arc length 
Step-by-step explanation:
The arc length of the curve is given by ![\int_a^b \sqrt{1+[f'(x)]^2}\ dx](https://tex.z-dn.net/?f=%5Cint_a%5Eb%20%5Csqrt%7B1%2B%5Bf%27%28x%29%5D%5E2%7D%5C%20dx)
Here, 
interval ![[0, \pi]](https://tex.z-dn.net/?f=%5B0%2C%20%5Cpi%5D)
Now, 
![f'(x)=\frac{\mathrm{d} }{\mathrm{d} x}\left ( [-cos(t)]_0^{4.5x} \right )](https://tex.z-dn.net/?f=f%27%28x%29%3D%5Cfrac%7B%5Cmathrm%7Bd%7D%20%7D%7B%5Cmathrm%7Bd%7D%20x%7D%5Cleft%20%28%20%5B-cos%28t%29%5D_0%5E%7B4.5x%7D%20%5Cright%20%29)
Now, the arc length is ![\int_0^{\pi} \sqrt{1+[f'(x)]^2}\ dx](https://tex.z-dn.net/?f=%5Cint_0%5E%7B%5Cpi%7D%20%5Csqrt%7B1%2B%5Bf%27%28x%29%5D%5E2%7D%5C%20dx)
![\int_0^{\pi} \sqrt{1+[(4.5sin(4.5x))]^2}\ dx](https://tex.z-dn.net/?f=%5Cint_0%5E%7B%5Cpi%7D%20%5Csqrt%7B1%2B%5B%284.5sin%284.5x%29%29%5D%5E2%7D%5C%20dx)
After solving, Arc length
By definition. The volume of the sphere is:
V = (4/3) * (pi) * (r ^ 3)
Where,
r: radius of the sphere.
Substituting values:
2254 pi = (4/3) * (pi) * (r ^ 3)
Clearing the radio we have:
r ^ 3 = (3/4) * (2254)
r = ((3/4) * (2254)) ^ (1/3)
r = 11.91255883
Then, the surface area is:
A = 2 * pi * r ^ 2
Substituting values:
A = 2 * 3.14 * (11.91255883) ^ 2
A = 891.6 m ^ 2
Answer:
The surface area of the sphere is:
b. 891.6 m ^ 2
35/18 or 1 17/18
Apply the fraction rule
5/6 * 7/3
Multiply
5*7/6*3
Answer
=35/18 or 1 17/18
