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Advocard [28]
2 years ago
7

can a circular tabletop with diameter 2.7 meters long fit through a doorway 2.5 meters high and 1 meter wide why or why not​

Mathematics
1 answer:
Vedmedyk [2.9K]2 years ago
5 0
If you were to place the table straight through it wouldn’t fit since the doorway is 2.7 meters high and the tabletop is 2.7 meters long. Your best option is to fit the tabletop flag diagonally along the doorway. The tabletop with go from lower left/right corner to the top right/left corner
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• x(t) = 6t --- equation (a)

• y(t) = 3t - 2 --- equation (b)

→ From equation (a), make t the subject:

→ \: { \tt{x(t) = 6t }} \\  \\ → \: { \tt{t =  \frac{x(t)}{6} }}

• substitute for t in equation (b)

→ \: { \tt{y(t) =  3(\frac{x(t)}{6}) - 2 }} \\  \\ → \: { \tt{y(t) =  \frac{x(t)}{2} - 2 }}

• Assume t is 1:

→ \: { \tt{y =  \frac{x}{2}  - 2}} \\  \\ → \: { \boxed{ \tt{2y = x - 4}}}

• when x is zero, y is -4

→ \: { \tt{2y = 0 - 4 =  - 4}} \\

• when x is 6, y is 1

→ \: { \tt{2y = 6 - 4 = 2 }} \\ { \tt{y = 1}}

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