If you look at one of the curves, you can see that it is the circumference of one-fourth of a circle. The center of the two circles are points B and D, therefore the radii are both 8 cm.
The perimeter of half the shape is one-fourth of a circle and there are two of the curves, so perimeter is 0.5 * C where C = 2pi*r
Perimeter = 0.5 * 2 * pi * 8 = 8pi
We can find the area of one of the non-shaded corners by taking the area of the square (8*8 = 64) and subtracting one-fourth of the circle.
64 - (0.25 * pi * 8^2) = 64 - 16pi..
There are two of these corners so multiply by 2 = 128 - 32pi
Now 64 - (128 - 32pi) = Area of shaded region.
Let S = his average speed.
Let D = distance traveled one way
Time = distance / speed
Set up an equation:
d/6 + d/12 = 2d/S
Multiply the equation by 12s:
12s(d/6) + 12s(d/12) = 12s(2d/s)
Simplify to get:
2sd + sd = 24d
Combine like terms:
3sd = 24d
Divide both sides by d:
3s = 24
Divide both sides by 3:
s = 24/3
s = 8
His average speed was 8 mph.
4/5 = 80/100
0.8 = 80/100
4/5 = 0.8
hope this helps
Answer:
70°
Step-by-step explanation:
Size of angle a = (180°-40°) ÷ 2 (angle sum of triangle; base angles of isos triangle)
= 140° ÷ 2
= 70°
Answer:
The alternate hypothesis is that newborn infants has a mean weight of 7.56 pounds.
Step-by-step explanation:
Let's find an alternate hypothesis by using the formula:
mean=(sum of all data)/(number of data points) so:
sum of all data=9.0+7.3+6.0+8.8+6.8+8.4+6.6=52.9 and:
number of data points=7 so:
mean=52.9/7=7.56 pounds
The alternate hypothesis is that newborn infants has a mean weight of 7.56 pounds.
