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vitfil [10]
3 years ago
12

An interior designer is planning a room but needs to first figure out the dimensions. The length of the room is 23 inches on the

architect’s plan. What is the actual length of the room in feet if the scale of the plan is 1.5 inches to 2 feet?
2.56 feet

30.67 feet

34.5 feet

17.25 feet
Mathematics
1 answer:
Lostsunrise [7]3 years ago
4 0

Answer:

  30.67 feet

Step-by-step explanation:

A proportion is often useful for solving scale drawing problems.

  actual size : drawing size = (room length) : (23 in) = (2 ft) : (1.5 in)

Multiplying by 23 in gives ...

  room length = (2 ft)(23 in)/(1.5 in) = 46/1.5 ft = 30 2/3 ft

  room length ≈ 30.67 ft.

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8 0
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Solve (1/81)^x*1/243=(1/9)^−3−1 by rewriting each side with a common base.
elena55 [62]

Answer:

x=(243)log_{\frac{1}{81}}[(\frac{1}{81})-1]

Step-by-step explanation:

you have the following formula:

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To solve this equation you use the following properties:

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Thne, by using this propwerty in the equation (1) you obtain for x

log_{(\frac{1}{81})}(\frac{1}{81})^{\frac{x}{243}}=log_{\frac{1}{81}}[(\frac{1}{81})-1]\\\\\frac{x}{243}=log_{\frac{1}{81}}[(\frac{1}{81})-1]\\\\x=(243)log_{\frac{1}{81}}[(\frac{1}{81})-1]

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