Answer:
Step-by-step explanation:
Multiplying decimals is not as hard as you think :)
Example 1:
Multiply: 5.2 x 4.5
Step #1: Line up the decimals
Step #2: Multiply like you usually would when multiplying two numbers.
Step #3: Move your decimal twice to the left to get 23.40
Work:
5.2
<u>x 4.5</u>
260
<u>+ 2080</u>
23.40 (I moved the decimal twice to the left from the zero)
The area of a circular sector of central angle α (in radians) in a circle of radius r is given by
... A = (1/2)r²×(α - sin(α))
Your area is expected to be computed as the sum of the areas of a sector with angle π/3 in a circle of radius 8 and a sector with angle π/2 in a circle of radius 6.
... A = (1/2)8²×(π/3 - sin(π/3)) + (1/2)6²×(π/2 - sin(π/2))
... A ≈ 16.07
Radii are in inches so the units of area will be in². The appropriate choice is
... 16.10 in²
_____
It should be noted that the geometry described is impossible. Chord CD of circle A will have length 6√2 ≈ 8.4853 inches. Chord CD of circle B will have length 8 inches. They cannot both be the same chord.
9=3^2
3^(2x)=(3^2)^(3x-4)
3^(2x)=3^(6x-8)
2x=6x-8
0=4x-8
8=4x
2=x
126 divided by 7 equals 18
18 m
