For this case we have to define trigonometric relations of rectangular triangles that:
- The cosine of an angle is given by the leg adjacent to the angle on the hypotenuse of the triangle.
- The sine of an angle is given by the leg opposite the angle on the hypotenuse of the triangle.
Then, according to the figure we have:
Answer:
Option D
Answer:
r = 1/3
Step-by-step explanation:
3r + 4 = 5 Move the 4 to the other side of the equation.
3r = 5 - 4 Subtract
3r = 1
3r/3 = 1/3 Divide both sides by 3
r = 1/3
Answer:
581 pages
Step-by-step explanation:
Add the page numbers.
157+226+198=581
He read 581 pages.
The answer is 3_4/11. The "_" indicates it's not the same number. So you don't get confused.
When repeating, you put a 99. Not 100. So, this will be 36/99. Now, you simplify. Also add the 3. You then get 3_4/11.
Proof:
x=0.6...
10x=6.6...
-x=0.6...
9x=6
x=2/3
2/3=0.6...
Hm. This is an interesting problem.
Let's see if we can express each of these numbers in terms of x and make an algebra equation to help us solve.
Consecutive even numbers increase by 2.
Let's allow x to equal our first number.
Let's allow x + 2 to equal our 2nd number.
Let's allow x + 4 to equal our 3rd number.
When we add those together, their sum need to equal 50 more than the largest integer (our x + 4)
Let's set it up!
x + (x +2) + (x + 4) = (x + 4) + 50
Simplify!
3x + 6 = x + 54
Let's reorganize the left and right sides.
3x - x = 54 - 6
2x = 48
x = 24 (our 1st even number)
Now, let's check our answer!
24 + 26 + 28 = 78
78 - 50 = 28 Our highest integer.
The sum of consecutive integers 24, 26, 28 is 50 more than the highest integer.