Answer:
5 cm
Step-by-step explanation:
Let the shorter side be a, longer side be b, hypotenuse be c
By Pythagorean theorem:
a² + b² = c²
a² + (a + 7)² = (a + 8)²
a² + a² + 14a + 49 = a² + 16a + 64
a² - 2a - 15 = 0
a² + 3a - 5a - 15 = 0
a(a + 3) - 5(a + 3) = 0
(a + 3)(a - 5) = 0
a = -3 or a = 5
Because a is a side length and is a positive number
a = 5
Your answer is $30,000.
The way I have answered this is quite strange, but I'll do my best to explain it. So because we know that $30,900 is 3% than last year, we can call it 103%. This allows us to form a ratio and therefore find 100%.
30,900 : 103
÷ 103
300 : 1
× 100
30,000 : 100
Which means $30,000 is 100%, or 3% less than $30,900. I hope this helps! Let me know if it was confusing or anything :)
Answer:
About 73 degrees
Step-by-step explanation:
By the law of cosines:
Hope this helps!
Answer: none of them is right, did you meant maximum 4 and minimum 2?
Step-by-step explanation: cos x gets values between 1 and -1.
If you add 3 you get values between 4 and 2.
Answer:
Step-by-step explanation:
- The product of two matrices
and 
equals a matrix 
, where the first element of the subscript represents the amount of files of the matrix and the second element represents the amount of columns of the matrix. - Then, in this case
, therefore, its product will result a matrix 
. - Because C matrix is going to have an only file and three columns, we now have to find the values of the elements in each column, based on the elements of A and B.
- Commonly, to obtain the values of the resulting matrix, we just have to multiply each file of the first matrix by each column of the second matrix and sum, as follows:
- Finally, C matrix is
