9514 1404 393
Answer:
24.3 ft
Step-by-step explanation:
If h is the height of the ladder up the tree, the geometry can be modeled as a right triangle with legs h and 6, and hypotenuse 25. The Pythagorean theorem gives you the relation ...
h² +6² = 25²
h² = 625 -36 = 589
h = √589 ≈ 24.3
The ladder reaches about 24.3 feet up the tree.
15/17 Because there is a 13/13 chance but then you put a ball in from Urn 1 and that is 2/4. Also, 13/13 plus 2/4 = 15/17
The difference is 10.21. 84.11-73.9= 10.21 hope this helps :)
Answer:
The system will be found to be inconsistent or dependent.
Step-by-step explanation:
The matrix A will have no inverse for two different reasons:
- The system is inconsistent
- The system is dependent
In the latter case, the Gauss-Jordan method will find a set of parametric equations for a solution. In the former case, there is no solution.
The outcome will depend on the reason why there is no inverse.
The common difference is 19-7 = 31-19 = 12, so this is an arithmetic sequence. The initial term (when n=1) is 7.
The explicit formula for the terms of an arithmetic sequence is
an = a1 + d(n-1)
where "a1" is the first term and "d" is the common difference. The formula that matches a1=7 and d=12 is
B. a(n) = 7+(n-1)·12