Answer:
66.24 (This answer does not match to any of the options...)
Step-by-step explanation:
This shape can be divided into 2 different shapes. A triangle and a rectangle.
Area of a Triangle = 
× base × height
= × 8.8 × 7.8
= 34.32
Area of a Rectangle = Length × Width
= (19.2 - 7.8) × (8.8 - (3+3))
= 11.4 × 2.8
= 31.92
Total area = 34.32 + 31.92 = 66.24
Since the slope is -2 we know that m=-2. Now use the standard form of y=mx+b and plug in the coordinates (-8,2). We know y=2, x=-8, and m=-2. Therefore we get 2=-2(-8)+b. Now solve for b and you get -14. Therefore, the equation is y=-2x-14.
Hope this helped!
Answer:
7
Step-by-step explanation:
did the math
2 units, because translations do not change the length of segments. Hope this helps!
Answer: The width is: " 10 in. " .
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Explanation:
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Consider a "rectangular prism".
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The formula for the Volume of a rectangular prism:
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V = L * w * h ;
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in which:
V = volume = 120 in.³ ;
L = length = 8 in.
w = width = ??
h = height = 1.5 in.
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We want to solve for "w" (width) ;
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Given the formula:
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V = L * w * h ;
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Rewrite the formula; by dividing EACH SIDE of the equation by
"(L * h)" ; to isolate "w" on one side of the equation;
and to solve for "w" ;
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→ V / (L * h) = ( L * w * h) / (L * h) ;
to get:
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→ V / (L * h) = w ;
↔ w = V / (L * h) ;
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Plug in our given values for "V", "L"; and "h"; to solve for "w" ;
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→ w = (120 in.³) / (8 in. * 1.5 in.) ;
→ w = (120 in.³) / (12 in.²) ;
→ w = (120/12) in. = 10 in.
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