Answer:
Find out all the other angles, and add them together. Subtract 180 - all the other angles combined.
BOOM, you found x for the interior angles.
Bagels 6x12=72
apples 8x9=72
cookies 12x6=72
juice 9x8=72
72/4 kids is 18 lunches
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
Answer:
Slope: y = x
Step-by-step explanation:
Two ordered (-5,0) and (0, 5)
slope = Change in the y-values/ change in the x-value
slope = (5 - 0)/ [0 - (-5)] = 5/5 = 1
slope-intercept form: y = mx + b Using ordered pair (0, 5)
y = mx + b
5 = 1(0) + b
5 = 0 + b
5 = b
Slope-intercept form: y = mx ; y = x
Answer:
the value of "b" is 8.9 so b=8.9