Price of gallon of gasoline one year ago is $ 4.1
<em><u>Solution:</u></em>
Given that you pay $ 3.69 for a gallon of gasoline
This is 90% of the price of a gallon of gasoline one year ago
To find: price of a gallon of gasoline one year ago
We can solve this sum by setting up proportion
Let "x" be the price of gallon of gasoline once year ago
By proportions we get,
Thus price of gallon of gasoline one year ago is $ 4.1
Method 2:
you pay $ 3.69 for a gallon of gasoline
Let "x" be the price of gallon of gasoline once year ago
3.69 = 90% of the price of a gallon of gasoline one year ago
3.69 = 90 % of x
Thus price of gallon of gasoline one year ago is $ 4.1
To get the answer to this problem you first factor out the common term 2
(n+3)/(2(n-3) ) * (n+3)/(3n-9)
then factor out the common term 3
(n+3)/(2 (n-3) ) * (n+3)/(3 (n-3) )
then simplify
( (n+3)(n+3)/(2 (n-3)*3(n-3) )
Use product rule : x^a x^b= x^a+b
( (n+3)^2/(2 (n-3)*3(n-3) )
simplify 2 (n-3) * 3(n-3) to 6(n-3)(n-3)
( (n+3)^2/(6 (n-3)(n-3) )
use product rule again : x^a x^b=x^a+b
so you get the answer : ( (n+3)^2)/(6 (n-3)^2 )
so the orrect answer to this problem is answer choice (C)
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!
X is less than 4.
Just simplify each side and solve for the variable.
First add 9 to both sides.
24 is greater than 6x
Then divide 6
4 is less than 6
Answer:
D
Step-by-step explanation:
A value of greater than 1 is not a possible value of r or the correlation coefficient in statistics. Therefore, it is not D