Select true or false to tell whether the following disjunctions are true or false. Use the truth table if needed.
1 answer:
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Answer:
The area of the wall on the blueprint is 0.1764 ft²
Step-by-step explanation:
The scale is the relationship that exists between the magnitudes of a drawing and the actual dimensions.
The scale factor is the ratio of the dimensions in two similar figures. The term "similar figures" refers to figures that have the same shape but different sizes.
The ratio between areas is equal to the squared scale factor. This is, the scale factor for areas is the squared scale factor,
To solve scale problems in this case, then the following proportion must be proposed:
Being:
- representation area=?
- actual area=36 ft²
- scale factor=0.07
Replacing:
Solving:
representation area= 0.07²*36 ft²
representation area=0.1764 ft²
<u><em>The area of the wall on the blueprint is 0.1764 ft²</em></u>
Make into matrix
![\left[\begin{array}{ccc}2&1&1\\1&-3&-1\\4&5&2\end{array}\right] = \left[\begin{array}{ccc}-2\\14\\-4\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%261%261%5C%5C1%26-3%26-1%5C%5C4%265%262%5Cend%7Barray%7D%5Cright%5D%20%3D%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-2%5C%5C14%5C%5C-4%5Cend%7Barray%7D%5Cright%5D%20%20%20)
accoring to cramer's rule
replace the y collum with eh constant collumn and find the detterminant
![\left[\begin{array}{ccc}2&-2&1\\1&-14&-1\\4&-4&2\end{array}\right]](https://tex.z-dn.net/?f=%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%26-2%261%5C%5C1%26-14%26-1%5C%5C4%26-4%262%5Cend%7Barray%7D%5Cright%5D)
det
![2 \left[\begin{array}{ccc}14&-1\\-4&2\end{array}\right]-(-2) \left[\begin{array}{ccc}1&-1\\4&2\end{array}\right]+1 \left[\begin{array}{ccc}1&14\\4&-4\end{array}\right] ](https://tex.z-dn.net/?f=%202%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D14%26-1%5C%5C-4%262%5Cend%7Barray%7D%5Cright%5D-%28-2%29%20%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26-1%5C%5C4%262%5Cend%7Barray%7D%5Cright%5D%2B1%20%20%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%2614%5C%5C4%26-4%5Cend%7Barray%7D%5Cright%5D%20%0A%0A)
dunno wat fraction is
pick last option
accoring to cramer's rule
replace the y collum with eh constant collumn and find the detterminant
det
dunno wat fraction is
pick last option