Answer:
x=5
Step-by-step explanation:
so we know the final number is 6 so lets look at the rest of the question:
"twice the difference" so we are going to double the difference of two numbers, one we don't know (x) and the other is 2, so lets put this together and solve:
2(x-2)=6, x-2=3, x=5
50% of 28 is 14 so 28+14= 42
Answer:
3x³ + 12x
Step-by-step explanation:
3x is 3 times x. If we multiply x times x², we get x³. This is because x² can be written as x·x, so if we multiply x by that, we get x·x·x. Since we are multiplying x² by 3x, we get 3x³. Now, we multiply 3x by 4, this gets us 12x. Now, we write it out as 3x³ + 12x.
Answer:
60
Step-by-step explanation:
150x(5/5-3/5)=60
Answer:
<u>The distance from the helicopter to the further observer is:</u>
<u>d = 12.77 miles</u>
Step-by-step explanation:
The observer with 19.5° of elevation will be denoted by 1
The observer with 31.2° of elevation will be denoted by 2.
Here we have two right triangles. Both of them have the same opposite sides, so will be useful to use the tangent function.
For the second observer:
(1)
Where:
- h is the opposite side
- x is the adjacent side (distance from the observer 2 to the point where the angle of elevation is 90° )
For the first observer:
(2)
Where:
- h is the opposite side
- 5+x is the adjacent side (distance from the observer 1 to the 90° elevation point, 5 miles is the distance between observes )
Let's find x from equations (1) and (2). Both of them have the variable "h" so we can equal these equations.
Now, if we use the right triangle with 19.5° of elevation, the hypotenuse will be the distance from the helicopter and the further observer (let's call d).
Let's use the cosine function to find d.
I hope it helps you!