Answer:
4 3/8 miles
Step-by-step explanation:
We are told that: the scale on a map is 1 inch =2 1/2 miles.the distance between two streets on the map is 1 3/4 inches
If 1 inches = 2 1/2 miles
1 3/4 inches =
Cross Multiply
1 3/4 × 2 1/2/1
= 7/4 × 5/2
= 35/8
= 4 3/8 miles
The actual distance between these streets is 4 3/8 miles
Answer:
If the problem is asking
then the answer is 4
If it's asking
then the answer is 
Step-by-step explanation:
Answer:
<h2>62.8 ft</h2>
Step-by-step explanation:
Answer:
cos(θ) = (√33)/7
Step-by-step explanation:
The relevant relation is ...
cos(θ) = √(1 -sin²(θ))
cos(θ) = √(1 -(4/7)²) = √(1 -16/49) = √(33/49)
cos(θ) = (√33)/7
Answer:
Yes, it is invertible
Step-by-step explanation:
We need to find in the matrix determinant is different from zero, since iif it is, that the matrix is invertible.
Let's use co-factor expansion to find the determinant of this 4x4 matrix, using the column that has more zeroes in it as the co-factor, so we reduce the number of determinant calculations for the obtained sub-matrices.We pick the first column for that since it has three zeros!
Then the determinant of this matrix becomes:
![4\,*Det\left[\begin{array}{ccc}1&4&6\\0&3&8\\0&0&1\end{array}\right] +0+0+0](https://tex.z-dn.net/?f=4%5C%2C%2ADet%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%264%266%5C%5C0%263%268%5C%5C0%260%261%5Cend%7Barray%7D%5Cright%5D%20%2B0%2B0%2B0)
And the determinant of these 3x3 matrix is very simple because most of the cross multiplications render zero:
![Det\left[\begin{array}{ccc}1&4&6\\0&3&8\\0&0&1\end{array}\right] =1 \,(3\,*\,1-0)+4\,(0-0)+6\,(0-0)=3](https://tex.z-dn.net/?f=Det%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%264%266%5C%5C0%263%268%5C%5C0%260%261%5Cend%7Barray%7D%5Cright%5D%20%3D1%20%5C%2C%283%5C%2C%2A%5C%2C1-0%29%2B4%5C%2C%280-0%29%2B6%5C%2C%280-0%29%3D3)
Therefore, the Det of the initial matrix is : 4 * 3 = 12
and then the matrix is invertible