Answer:
25.133 units
Step-by-step explanation:
Since the density ρ = r, our mass is
m = ∫∫∫r³sinθdΦdrdθ. We integrate from θ = 0 to π (since it is a hemisphere), Φ = 0 to 2π and r = 0 to 2 and the maximum values of r = 2 in those directions. So
m =∫∫[∫r³sinθdΦ]drdθ
m = ∫[∫2πr³sinθdθ]dr ∫dФ = 2π
m = ∫2πr³∫sinθdθ]dr
m = 2π∫r³dr ∫sinθdθ = 1
m = 2π × 4 ∫r³dr = 4
m = 8π units
m = 25.133 units
Answer:
the 12th term of the arithmetic sequence would be 13a - 12b
Step-by-step explanation:
as you can see from the sequence, it goes up by 1. 2a - b became 3a -2b as an example.
The second one would be the answer. You want to plug in for this question. You can divide over the five leaving you with (x-2)^2 =25. Since you are squaring this answer, you want to get either 5 or negative five. Both -3 and 7 will do that.
Answer:
x=3.5 cm
Step-by-step explanation:
90/2 = 45 degrees
Soh Cah Toa
We have opposite and hypotenuse making sin.
Length×Sin(Angle)
5×Sin(45) = 3.53553cm
Rounded the the nearest tenth makes 3.5cm
