Explanation
Given that Sn = Sn-2 . (Sn-1 - 1)
Tn = Sn - Sn-1
Tn = Sn-2 . (Sn-1 - 1) - (Sn-3 . (Sn-2 - 1))
T3 = S1.(S2-1) - (S0.(S1-1)
T3 = 2.(3-1) - 1.(2-1)
T3 = 2(2) - 1(1)
T3 = 4-2
T3 = 3
T4 = S2.(S3-1) - (S1.(S2-1)
T4 =3.(-1) - 1.(2-1)
T4 = 2(2) - 1(1)
T4 = 4-2
T4 = 3
Answer:
Check the explanation
Step-by-step explanation:
Kindly check the attached image below to see the step by step explanation to the question above.
Part (a)
The picture alone, without the frame, is 16 by 20
When accounting for the frame, the larger rectangle is 16+2x by 20+2x
We add up all four sides to get the perimeter
(16+2x)+(20+2x)+(16+2x)+(20+2x)
8x+72
or you can use this perimeter of a rectangle formula
P = 2(L+W)
P = 2(20+2x+16+2x)
P = 2(4x+36)
P = 8x+72
Answer: 8x+72
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Part (b)
Multiply the length and width to find the area of the rectangle.
area = length*width
A = L*W
A = (20+2x)*(16+2x)
A = 20(16+2x) + 2x(16+2x)
A = 320+40x + 32x + 4x^2
A = 4x^2 + 72x + 320
Answer: 4x^2 + 72x + 320
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Part (c)
Plug x = 2 into the perimeter equation found in part (a)
P = 8x+72
P = 8*2+72
P = 16+72
P = 88
Now plug x = 2 into the area equation found in part (b)
A = 4x^2 + 72x + 320
A = 4(2)^2 + 72(2) + 320
A = 4(4) + 72(2) + 320
A = 16 + 144 + 320
A = 160+320
A = 480
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Answers:
Perimeter = 88 inches
Area = 480 square inches
The sum of the angles of the triangle is 180 degrees, so:
(x + 70) + 76 + 41 = 180
(x + 70) + 117 = 180
x + 70 = 63
x = -7
Hope that helps!
Answer:
0.88 as a fraction in simplest form is 22/25.
0.88 = 88/100
Simplify (divide both by 4)
22/25
A fraction is in simplest form when the top and bottom cannot be any smaller, while still being whole numbers.
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