<h3>
Answer:</h3>
6√2 ≈ 8.485 inches
<h3>
Step-by-step explanation:</h3>
The radii and the chord together make an isosceles right triangle with legs 6 inches long. The hypotenuse of such a triangle is √2 times the leg length. So, the chord will be 6√2 in long.
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<em>Comment on isosceles right triangle</em>
It is worth remembering that the hypotenuse of an isosceles right triangle is √2 times the leg length. This is easily found using the Pythagorean theorem:
... c² = a² + b²
... c² = 1² + 1² = 2 . . . . for legs of length 1
... c = √2 . . . . . . . . . . take the square root.
Scale this result as needed for any particular problem. Here, the scale factor is 6 inches.
Given:
The expression is
To find:
The expression which is equivalent to the given expression.
Solution:
We have,
We know that,
Using this formula, the given expression can be written as
Therefore, the given expression is equivalent to 1.
Percent increase is a percent change that describes an increase in quantity
To determine percent increase we first find the amount of change
It is given:A tree grew from 4ft to 12ft in 3 years .
Amount of change =12-4=8 ft.
We use proportion to find percent increase.
Or ,
Cross multiplying we have:
4 ( percent Increase )= 800
Dividing by 4 we have Percent change = 200
Percent Increase = 200%.
The equation of the new path would be y=1/3x+4.
Explanation
If two lines are perpendicular, their slopes are negative reciprocals of each other. The original equation is written in slope-intercept form, y=mx+b, where m is the slope. In this equation, m=-3=-3/1.
In the new equation, the slope would be the opposite sign and flipped; this means it would be 1/3.
We can use the point given, the slope and slope-intercept form to write the equation of the new line:
y=mx+b
3=1/3(-3)+b
3=1/3(-3/1)+b
3=(-3/3)+b
3=-1+b
Add 1 to both sides:
3+1=-1+b+1
4=b
This makes the equation y=1/3x+4.
-1 (-12 - 9i) + 4i (-12 - 9i)
= 12 + 9i + -48i + 9i^2
= 9i^2 + 39i + 12
