Answer:
-20,476
Step-by-step explanation:
(v+4)t=66
t=66/(v+4)
...
(v-4)t=42, using t found above in this equation gives you:
66(v-4)/(v+4)=42 perform indicated multiplication on the left side
(66v-264)/(v+4)=42 multiply both sides by (v+4)
66v-264=42v+168 add 264 to both sides
66v=42v+432 subtract 42v from both sides
24v=432 divide both sides by 24
v=18
So his normal bicycling speed with no wind is 18 mph.
<u>Given:</u>
Each circle has a diameter of 2 inches each.
The outer square has a side length of 4 inches and the square ABCD has a side length of 2 inches.
<u>To find:</u>
The area of the shaded region.
<u>Solution:</u>
Each circle has a diameter of 2 inches. The square ABCD is at the center of each circle so it has a side length of 1 inch.
To determine the area of the shaded region, we subtract the area of the quarter-circles in the square ABCD from the area of the square ABCD.
The area of a quarter-circle 
All the quarter-circles have a radius of 1 inch.
The area of 1 quarter-circle 
The area of 4 quarter-circles 
So the area of the quarter-circles in the square ABCD is 3.1514 square inches.
The area of a square 
The area of square ABCD 
The area of the shaded region 
The area of the shaded region is 0.8585 square inches.