First of all, just to avoid being snookered by a trick question, we should verify that these are really right triangles:
7² + 24² really is 25² , and 8² + 15² really is 17² , so we're OK there.
In the first one:
sin(one acute angle) = 7/25 = 0.28
the angle = sin⁻¹ (0.28) = 16.26°
the other acute angle = (90° - 16.26°) = 73.74°
In the second one:
sin(one acute angle) = 8/17 = 0.4706...
the angle = sin⁻¹ (0.4706...) = 28.07°
the other acute angle = (90° - 28.07°) = 61.93°
I'm sorry, but just now, I don't know how to do the
third triangle in the question.
Answer:
Option B
Step-by-step explanation:
Looking at the options, option B is correct because when multiplying it by matrix A, it yields the matrix AB as follows;
First row of A multiplied by first column of matrix in option D;
(1 × -1) + (0 × 0) + (0 × 0) = -1 which corresponds to the first number on the first row of Matrix AB
Since majority of matrix AB are zero, I will just prove the ones that are not zero.
Thus;
Second row of matrix A is multiplied by second column of matrix in option D;
(0 × 0) + (-1 × -1) + (0 × 0) = 1 which is same as 2nd number on second row in matrix AB
Lastly, third row of matrix A is multiplied by third column of matrix in option D;
(0 × 0) + (0 × 0) + (1 × -1) = -1 which is same as third number in third row in matrix AB
Answer:
8x-13x²-3
Step-by-step explanation:
you first have to work with the negative sign and the brackets by multiplying the negative sign by everything in the second brackets
3x-5-7x²+2-6x²+5x
then group the like terms
3x+5x-7x²-6x²+2-5
8x-13x²-3
I hope this helps
Answer:
B.-38
Step-by-step explanation:
2x - 18 = y ...(1)
x = -10 (Given)
Now,
Put the value of x in equation (1) we get,
2(-10) - 18 = y
-20 - 18 = y
-38 = y
<em><u>y = -38</u></em>
Thus, the value of y is -38
Answer:
15/3 =5 is the correct answer