Answer:
x = 225.16 feet
Step-by-step explanation:
Given that,
The angle between the piling and the pier is 60°.
A surveyor has set up his transit on one side of the lake 130 feet from a piling that is directly across from a pier on the other side of the lake.
We need to find the distance between the piling and the pier. Let the distance be d. Using the trigonometry to find it as follows :
So, the required distance is 225.16 feet.
From the given information, the parabola is a sideways parabola facing left with vertex at the origin.
Required equation is (y - 0)^2 = 4p(x - 0)
y^2 = 4px
But 0 + p = -8 => p = -8
Therefore, required equation is y^2 = 4(-8)x
y^2 = -32x
Answer: x = 4.5
Step-by-step explanation:
4x + 14 = 32
Subtract 14 from each side
4x = 18
Divide by 4 on each side
x = 4.5
Answer:
Must add 100 milliliters of water
Step-by-step explanation:
Let
x ----> milliliters of water to add
we know that
<em>Originally</em>
The milliliters of lemon concentrate is equal to the 10% of 100 mL
so
<em>Now</em>
The balance of lemon concentrate is equal to 5%
The milliliters of lemon concentrate is the same
so
solve for x
therefore
Must add 100 milliliters of water
