In order for the inverse to exist, the matrix cannot be singular, so we need to first examine the conditions for existence of the inverse.
Compute the determinant. The easiest way might be a cofactor expansion along either the first row or third column; I'll do the first.
The matrix is then singular whenever
.
With this in mind, compute the inverse.
First find out how much she spent on the fabric. That's 12.5 yards times 4.50 a yard which is $56.25. Now figure out how many beds she can make with 12.5 yards if each bed uses 2.5 yards of fabric by dividing 12.5 by 2.5 to get 5 beds. She can make 5 beds for $56.25. If she sells each of those 5 beds for $17.50 each, she makes 5 times $17.50 which is $87.50. If she spent $56.25, subtract that from what she makes: 87.50 - 56.25 = 31.25
Answer:
11.4166666667 / 11/4
Step-by-step explanation:
i calculated it in my head
Answer:
The triangle inequality states that the sum of the lengths of the two shortest sides of a triangle must be greater than the length of the largest side. Because 4 + 12 > 17 is not a true statement, the answer is "This triangle does not exist because the sum of 4 and 12 is less than 17."
A² + b² = c²
a² + 7² = 25²
a² = 25² - 7²
a² = 576
a = 24
Answer: The height is 24 feet.