Tanα=y/x

y=xtanα, we are told that x=25ft and α=30°

y=25tan30° ft

y≈14.43 ft (to nearest hundredth of a foot)

Since their home is 20 feet from the base of the tree, it poses no risk right now.

4 0

3 years ago

If A is an n× n matrix, then det A = det AT . Verify this theorem for 2 × 2 matrices.

Bond [772]

Answer:

Verified

Step-by-step explanation:

Let A matrix be in the form of

$\left[\begin{array}{cc}a&b\\c&d\end{array}\right]$

Then det(A) = ad - bc

Matrix A transposed would be in the form of:

$\left[\begin{array}{cc}a&c\\b&d\end{array}\right]$

Where we can also calculate its determinant:

det(AT) = ad - bc = det(A)

So the determinant of the nxn matrix is the same as its transposed version for 2x2 matrices

4 0

3 years ago

Which ordered pair could you remove from the relation {(-1,0), (1,3), (2,2), (2,3), (3,1)} so that it becomes a function?

Scrat [10]

I think the answer is (2,3)

6 0

2 years ago

Show me five numbers that are at least 8 digits long under standard form

horsena [70]

20,146,974. 78,901,234. 46,123,086.
76,543,218. 54,876,547

6 0

3 years ago