The area of a triangle can be found by using the formula A = bh/2
To find the area of the shaded region (the green section), we can find the area of both triangles and subtract.
Large triangle:
A = 28*36/2
A = 1008/2
A = 504km²
Small triangle:
A = 15*19/2
A = 285/2
A = 142.5km²
Subtract both triangles:
504 - 142.5 = 361.5km²
Therefore, the area of the shaded region is <u>361.5</u>km²
Best of Luck!
The following pairs all solve the equation [ v w = 0 ] :
1 and 0
2 and 0
3 and 0
4 and 0
0 and 5
0 and 6
0 and 7
0 and 8
1 million and 0
Answer:
the ingegral I=π/4
Step-by-step explanation:
From the integral
I=∫0-1∫0-sqrt(1-y^2) (x^2 + y^2) dxdy
from polar coordinates
r²=x² + y²
then for r=1
√(1- y²) = x
for y=1 → x=0 , for y=0 → x=1
then the integration area is a hemisphere or radius r=1
therefore
I= ∫0-1∫0-sqrt(1-y^2) (x^2 + y^2) dxdy = (1/2)∫2π-0 ∫1-0 r² *r drdθ ( the additional r is due to the Jacobian of the transformation to polar coordinates , 1/2 because is an hemisphere so it would be the half of the value of the total sphere)
I= (1/2)∫2π-0 ∫1-0 r³drdθ = (1/2)∫2π-0 (1⁴/4 - 0⁴/4) dθ = (1/2)∫2π-0 (1/4)*dθ = (1/2)*(1/4)*2π = π/4
