Well, you can only combine the numbers with the variable (the x) in front of them, since there’s no other number on the left side of the equation to combine that lone number with
(example: 3x+2+5x; you can only add 3x and 5x together since 2 has no x).
So 3x and -2/9x would be your answer.
Your answer is 1
Step-by-step explanation:
4=2
8=?
4÷8×2
=1
Answer:
Step-by-step explanation:
Notice that .
The diagram already marks , so we just need to find .
and are vertical angles, which means they are equal in measure.
Therefore,
Since there are on each side of a line, we have the following equation:
.
Plugging in , we have:
.
Therefore,
.
Drawing a diagram of a triangle may be helpful. The hypotenuse is irrelevant, but the vertical leg and the horizontal leg are useful. Since we know the engineer is looking up at a 45 degree angle from a distance of 200 feet, we can label the vertical leg the "opposite", since it is on the opposite side of the angle we are given. The horizontal leg then becomes the "adjacent". You can then use trigonometry to solve for the opposite.
The options are:
sin(theta)= opposite/hypotenuse
cos(theta)= adjacent/hypotenuse
tan(theta)= opposite/adjacent
Since we don't care about the hypotenuse, the last equation is the one to use. The angle we are given can be substituted in for theta:
tan(45)= x/200
1.61977519= x/200
x= 323.955038 feet