Answer:
x = 28
Step-by-step explanation:
angle 1 and angle 2 are complementary (their sum is 90°)
x + 5 + 2x + 1 = 90 add like terms
3x + 6 = 90 subtract 6 from both sides
3x = 84 divide both sides by 3
x = 28
First calculate the function of x-2y=6:
x-2y=6 | - x
-2y=6-x | ÷ (-2)
y=0.5x-3
Now you have the function. Because the slope you search is parallel to this one, the slope is the same (in this case 0.5). A slope of 0.5 means for 2 steps to the right go one up. To define the function you are searching you have to find out the y intercept. For this take your point (-2|4). Now go as many steps to the right until you reach the y intercept or x=0 in this case you need 2 steps. So for 2 steps right you go one up. Now you have the y intercept (5).
The resulting function is: f(x) = 0.5+6.
41
3 times 9 is 27
27+14=41
The first one is 12.5%
the second one is .18
Answer: The height is 6.07 meters
Step-by-step Explanation: The distance between the elevator and the bottom of the barn is given as 9 meters. Also for the hay elevator to move bales of hay to the second story of the barn lift it makes an angle of elevation of 34 degrees with the ground. With these we can derive a right angled triangle with the reference angle as 34 degrees, the side facing it which is the height or h (opposite) is yet unknown, and the side between the reference angle and the right angle (adjacent) is 9. We shall apply the trigonometric ratio as follows;
Tan 34 = opposite/adjacent
Tan 34 = h/9
0.6745 = h/9
0.6745 x 9 = h
6.0705 = h
Therefore the approximate height of the barn to the ground is 6.07 meters
