The best thing to do is to find a common denomiantor, and you can do this by listing the multiples.
5- 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85
17- 17 34 51 68 85 102
The lowest common multiple is 85, so you've got to multiply the first fraction by 17, and the second by 5.
3x17= 54, 5x17= 85 and 3x5= 15, 5x17= 85.
this then becomes 54/85 and 15/85, when you're adding fraction, you add the denominators- 54+15= 69, therefore, the fraction becomes 69/85
Hope this helps :)
Answer:
{ -4,-2,0,2,4}
Step-by-step explanation:
The range of the inverse is the domain of the function
The domain of the function is the x values
Domain{ -4,-2,0,2,4}
This is also the range of the inverse
Answer:
80
Step-by-step explanation:
" break even " is when ur expenses = revenue.....there is no profit made when u break even
expenses : 0.35x + 770
revenue (ur income) : 0.55x
so they have to equal to break even...so set them equal to each other and solve for x
0.35x + 770 = 0.55x
770 = 0.55x - 0.35x
770 = 0.2x
770 / 0.2 = x
3850 = x <== they must sell 3850 copies to break even
Answer: He is 4.2 ft from the cockroach
Step-by-step explanation: Please refer to the attached diagram.
If Simon is staring at a cockroach with his eyes 6 ft from the ground, then Simon’s position would be depicted as point E. Then the cockroach is on a box which is 1 ft off from the ground. That means Simon is actually looking at the cockroach not exactly on the ground, but at a distance of 1 ft from the ground and that means Simon’s eyes are looking at the cockroach from a distance of 5 ft FROM THE GROUND. So the cockroach’s position is depicted by point C on the triangle. Hence the triangle in the diagram shows Simon (point E) looking down at an angle of 40, the cockroach at point C and the ground marked as point G.
Therefore the distance between Simon and the cockroach is marked by line GC (labeled as x in the diagram).
Using E as the reference angle, we have an adjacent (the line between the reference angle and the right angle) which is 5ft, and an opposite (facing the reference angle) which is x.
Using trigonometric ratios,
Tan E = opposite/adjacent
Tan 40 = x/5
0.8391 = x/5
By cross multiplication we now have
5 (0.8391) = x
4.1955 = x
Approximately 4.2
Hence Simon is 4.2 ft away from the cockroach