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The area of a rectangle is obtained through the equation,
A = L x W
The width of the yard is 4 ft less than the length and may be expressed as L - 4. Length may be solved through the following steps,
A = (L)(L-4) ; 96 = L(L - 4) ; L = 12 ft
The length and width are 12 ft and 8 ft, respectively. Perimeter may be solved through the equation,
P = 2 x (L + W)
Substituting the values of L and W
P = 2 x ( 12 ft + 8 ft) = 40 ft
Therefore, the perimeter of the yard is 40 ft.
Answer: 11
<u>Step-by-step explanation:</u>
3x² - 4x¹¹ + 4x⁴ - 2x¹⁰ - 5 + 8x⁸
To find the degree, look for the largest exponent. <em>11</em>
If you put this polynomial in standard form (from largest to smallest exponent), the first term will give you the degree of the polynomial and the leading coefficient.
- 4x¹¹ - 2x¹⁰ + 8x⁸ + 4x⁴ + 3x² - 5
9514 1404 393
Answer:
a) 2
b) left: 3; lower right: 5
c) upper right: 53°; bottom: 82°
Step-by-step explanation:
<h3>3.</h3>
a) The top side of polygon B is 5 units; the corresponding top side of polygon A is 2.5 units, so the dimensions of polygon A are multiplied by the scale factor 5/2.5 = 2 to give the dimensions of polygon B.
the scale factor is 2
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b) Sides of polygon B are 2 times the length of the corresponding side of polygon A.
left side: 2×1.5 = 3
lower right side: 2×2.5 = 5
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c) Corresponding angles of similar figures are congruent.
upper right angle: 53°
bottom angle: 82°
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4.
The arithmetic of problem 4 is correct as shown.
