Answer:
The correct option is C. About 1 on the side with the 1 on top and 4 on the bottom yard.
Step-by-step explanation:
Consider the provided information.
Simone measures the width of one of cardboard strip as 1/2 yard.
A second cardboard strip measures 5/6 yard in width.
We need to find the combined width.
The combined width of the cardboard strip:
is closer to
as compare to
Hence, the correct option is C. About 1 on the side with the 1 on top and 4 on the bottom yard.
Answer:
b = 15.75
Step-by-step explanation:
Lets find the interception points of the curves
36 x² = 25
x² = 25/36 = 0.69444
|x| = √(25/36) = 5/6
thus the interception points are 5/6 and -5/6. By evaluating in 0, we can conclude that the curve y=25 is above the other curve and b should be between 0 and 25 (note that 0 is the smallest value of 36 x²).
The area of the bounded region is given by the integral
The whole region has an area of 250/9. We need b such as the area of the region below the curve y =b and above y=36x^2 is 125/9. The region would be bounded by the points z and -z, for certain z (this is for the symmetry). Also for the symmetry, this region can be splitted into 2 regions with equal area: between -z and 0, and between 0 and z. The area between 0 and z should be 125/18. Note that 36 z² = b, then z = √b/6.
125/18 = b^{1.5}/9
b = (62.5²)^{1/3} = 15.75