The shaded area in the image is 86.1 square inches.
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How to get the shaded area?</h3>
Remember that for a circle of diameter D, the area is given by:
A = pi*(D/2)²
Where pi = 3.14, and here we have half-circles, so we need to add a factor 0.5
The area of the shaded figure, the area of the shaded figure will be the area of the half circle with diameter of 17in minus the area of the half circle with a diameter of 8.5 in, so the area is:
area = 0.5*3.14*(17in/2)² - 0.5*3.14*(8.5in/2)² = 86.1 in²
Learn more about area:
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Consider the digit expansion of one of the numbers, say,
676₉ = 600₉ + 70₉ + 6₉
then distribute 874₉ over this sum.
874₉ • 6₉ = (8•6)(7•6)(4•6)₉ = (48)(42)(24)₉
• 48 = 45 + 3 = 5•9¹ + 3•9⁰ = 53₉
• 42 = 36 + 6 = 4•9¹ + 6•9⁰ = 46₉
• 24 = 18 + 6 = 2•9¹ + 6•9⁰ = 26₉
874₉ • 6₉ = 5(3 + 4)(6 + 2)6₉ = 5786₉
874₉ • 70₉ = (8•7)(7•7)(4•7)0₉ = (56)(49)(28)0₉
• 56 = 54 + 2 = 6•9¹ + 2•9⁰ = 62₉
• 49 = 45 + 4 = 5•9¹ + 4•9⁰ = 54₉
• 28 = 27 + 1 = 3•9¹ + 1•9⁰ = 31₉
874₉ • 70₉ = 6(2 + 5)(4 + 3)10₉ = 67710₉
874₉ • 600₉ = (874•6)00₉ = 578600₉
Then
874₉ • 676₉ = 578600₉ + 67710₉ + 5786₉
= 5(7 + 6)(8 + 7 + 5)(6 + 7 + 7)(0 + 1 + 8)(0 + 0 + 6)₉
= 5(13)(20)(20)(1•9)6₉
= 5(13)(20)(20 + 1)06₉
= 5(13)(20)(2•9 + 3)06₉
= 5(13)(20 + 2)306₉
= 5(13)(2•9 + 4)306₉
= 5(13 + 2)4306₉
= 5(1•9 + 6)4306₉
= (5 + 1)64306₉
= 664306₉
Answer: b=9
Step-by-step explanation: To find the slope we use: y2-y1/x2-x1
Which would then be: 5-b/-2-7= 5-b/-9
Then we have to find a number for b that would give us -4 as the numerator. That number would be 9
This would give us 4/9 which is the slope we already had.
