Solve for x. x^3=8/125 Enter your answer in the box as a fraction in simplest form.
2 answers:
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Answer:
<h2>7°</h2>Step by step explanation
We know that the diagonals of a square bisects it's angles and every angles of square are 90°
m<BCD = 90°
m<BCA = m< DCA = 4x + 17
m<BCA + m<DCA = m <BCD
4x + 17 + 4x + 17 = 90
4x + 4x + 17 + 17 = 90
8x + 34 = 90
8x = 90 - 34
8x = 56
X = 56/8
x = 7
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Answer:
8 meters
Step-by-step explanation:
First, we can draw this out. The angle of depression represents the angle above the line from the bird and the apple, as shown. A line can be drawn from the bird to the apple as well as from the apple's height to the bird's height. A third line can be drawn connecting the line that goes straight up from the apple to the bird, forming a right triangle. We know that this is a right triangle because the purely vertical line from the apple's height to the bird's height is perpendicular to the horizontal line from the bird to the line right above the apple.
Next, we know that we are given an angle and the side adjacent to it. We want to find the length of the side opposite to the angle because that will give us the height from the bird to the apple, and adding that to the height from the apple to the ground will give us the height of the tree. In sohcahtoa, one equation that symbolizes this is tan x = opposite/adjacent, so
tan(55°) = opposite/adjacent
= opposite/4.5
multiply both sides by 4.5 to isolate opposite
tan(55°) * 4.5 = opposite
≈ 6.43
Adding this to the height of 1.5 meters from the apple to the ground, we get the height of the tree to be approximately 7.93, rounding up to 8 meters
Given :
The percent of concentration of a certain drug in the bloodstream x hours after the drug is administered is given by .
To Find :
Find the time at which the concentration is a maximum. b. Find the maximum concentration.
Solution :
For maximum value of x, K'(x) = 0.
Since, time cannot be negative, so ignoring x = -3 .
Putting value of x = 3, we get, K(3) = 15/( 9 + 9) = 5/6
Therefore, maximum value drug in bloodstream is 5/6 at time x = 3 units.
Hence, this is the required solution.