Answer:
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Step-by-step explanation:
Answer:
ZB= 39°
Step-by-step explanation:
complementary angles are angles that add up to equal 90
equation: 7x + 23 + 5x + 19 = 90
add like terms: 12x + 42 = 90
subtract 42 from both sides: 12x = 48
divide both sides by 12: x = 4
plug in the value of x to the equation for ZB: 5(4) + 19
simplify: ZB= 39°
The volume of the pyramid is 448m^3
(16)(12)(7)/3
= 1334/3
= 448
That is the combination of 10 over 3, which is calculated as the quotient of factorials:
n!/k!(n-k)!
where n = 10 and k = 3:
= 10!/3!(10 - 3)!
= 10!/3!*7!
= (10*9*8)/(3*2*1)
= 720/6
= 120
therefore there a re 120 possible different groups
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Define x :
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Let the width be x.
Width = x
Length = 2x + 5 // Length is 5ft longer than twice the width
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Formula for Perimeter :
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Perimeter = 2 (Length + Width)
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Find Width :
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58 = 2 ( 2x + 5 + x) // Substitute Length and Width into formula
58 = 2 (3x + 5) // Combine like terms
58 = 6x + 10 // Apply distributive property
48 = 6x // Take away 10 from both sides
6x = 48 // Switch sides. Make x the subject
x = 8 // Divide by 6 on both sides
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Find Length and Width :
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Width = x = 8 ft
Length = 2x + 5 = 2(8) + 5 = 21 ft
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Answer: The length is 21 ft and the width is 8 ft.
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