See attached picture for solution:
The total cost of filling your car with gas varies directly with the number of gallons of gasoline you are purchasing. If a gall
2 answers:
You might be interested in
Answer:
Step-by-step explanation:
To complete the square, we first have to get our equation into form.
First we add 16x to both sides:
And now we subtract 62 from both sides.
We now have to add to both sides of the equation. b is 16, so this value becomes
.
We can now write the left side of the equation as a perfect square. We know that x+8 will be the solution because and
.
We can now take the square root of both sides.
We can now isolate x on one side by subtracting 8 from both sides.
So our solutions are
Hope this helped!
Answer:the height of the balloon is 670.244 feet
Step-by-step explanation:
The right angle triangle BLD represents the scenario.
h represents the height of the balloon.
We would apply trigonometric ratio to determine h.
Tan # = opposite side/adjacent side
Looking at triangle LCD,
# = 61 degrees
h = opposite side
x = adjacent side
Tan 61 = h/x
1.7321 = h/x
h = 1.7321x
Looking at triangle LBD,
# = 54 degrees
h = opposite side
x + 100 = adjacent side
Tan 54 = h/x + 100
1.3764 = h/x + 100
h = 1.3764(x + 100)
Therefore,
1.7321x = 1.3764(x + 100)
1.7321x = 1.3764x + 137.64
137.64 = 1.7321x - 1.3764x
137.64 = 0.3557x
x = 137.64/0.3557 = 386.955
h = 1.7321x = 386.955 × 1.7321
h = 670.244 feet
