Since the surface area of a prism is
A = 2lw + 2lh + 2wh
then the surface of the 1/3 scale key chain will be:
A = 2( l / 3 )( w / 3 ) + 2 ( l / 3 )( h / 3 ) + 2( w / 3 )( h / 3)
A = (2/9) ( lw ) + ( 2 / 9 ) ( lh ) + ( 2/9 ) ( wh)
A = ( 1 / 9 ) ( lw + 2lh + 2wh)
so the ratio <span>of the key chain to the book is 1/9</span>
Let x be the cost of each bed sheet and y be the cost of each of the towel. The system of linear equations that best represent the given condition is,
38x + 61y = 791.50
54x + 50y = 923
Solving for x and y in the equation gives, x = 12 and y = 5.5. Thus, one bedsheet costs $12 and each towel costs $5.5.
Answer:
x = 121°
Step-by-step explanation:
∠ 1 + 115° = 180°
∠ 1 = 180 - 115
∠ 1 = 65°
∠ 2 + 304° = 360°
∠2 = 360 - 304
∠ 2 = 56°
∠ 1 + ∠ 2 + ∠ 3 = 180°
65° + 56 ° + ∠ 3 = 180°
∠3 = 180 - 65 - 56
∠ 3 = 59°
∠3 + x = 180°
59° + x = 180°
x = 180 - 59
x = 121 °
Answer:
Step-by-step explanation:
The slope-intercept form of an equation of a line:
<em>m</em><em> - slope</em>
<em>b</em><em> - y-intercept (0, b)</em>
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We have two points (4, 2) and (0, -1) → <em>b = -1</em>.
Calculate the slope:
Finally: