Answer:
K = (1/2)r^2(sin(θ) +θ)
Step-by-step explanation:
The area of the triangle to the left is ...
A1 = (1/2)r^2·sin(180°-θ) = (1/2)r^2·sin(θ)
The area of the sector to the right is ...
A2 = (1/2)r^2θ
so the total area of the blue shaded region is ...
K = A1 + A2 = (1/2)r^2·sin(θ) + (1/2)r^2·θ
K = (1/2)r^2(sin(θ) +θ)
Answer:2,3 hope it help you
Step-by-step explanation:
Answer:
167b + 84
Step-by-step explanation:
Multiplication is indicated between a number and a variable by writing them next to each other. A "product" is the result of multiplication, so "the product of 167 and b" is written 167b.
If you want a value that is 84 more than that, you get it by adding 84.
167b + 84
Answer:
5/6
Step-by-step explanation:
20 divide by 2 is 10
24 divide by 2 is 12
then have 10/12
10 divide by 2 is 5
12 divide by 2 is 6
answer is 5/6
Answer:
Volume = (250π√3)/3 unit³
Step-by-step explanation:
The shape is a solid sphere
Where rho = ρ
ρ ≤ 5
Where Phi = φ
φ = π/6 (lower limit)
φ = 5π/6 (upper limit)
Note 1π rad = 180°
We would apply triple integrals and spherical coordinates to solve for the volume of a solid sphere.
See attachment for details
From calculations,
The volume of the portion of solid sphere = Volume = (250π√3)/3 unit³
