Answer:
length of each square= ≈ 6.6
the length of the rectangle = 2 ≈ 13.1
width of the rectangle ≈ ≈ 6.6
Step-by-step explanation:
Example AFind the area of the blue sector. Leave your answer in terms of TT.
1 answer:
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We know that the volume of a sphere of radius r is given by
Now, we have been given the initial volume was 4,188.79 cubic centimeters. Let us find the radius at this time.
Substituting the value of volume in the above equation, we get
Now, the final volume is given by 14,137.167 cubic centimeters. Thus, we have
Now, let us find the surface areas for these two radii.
For
Surface area is given by
Similarly, for
Therefore, the increase in the surface area is given by
Hence, the average rate at which the surface area is changing is given by
Therefore, the average rate at which the surface area is changing is given by 130.8 square centimeters per second.
<h2>Answer: y = ⁵/₂ x - 13 OR y + 8 = ⁵/₂ x - 5 </h2><h3>Step-by-step explanation:</h3>
<u>Find the slope of the perpendicular line</u>
When two lines are perpendicular, the product of their slopes is -1. This means that the slopes are <em>negative-reciprocal</em>s of each other.
⇒ if the slope of this line = - ²/₅
then the slope of the perpendicular line (m) = ⁵/₂
<u>Determine the equation</u>
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:
⇒ y - (-8) = ⁵/₂ (x - 2)
∴ y + 8 = ⁵/₂ (x - 2)
We can also write the equation in the slope-intercept form by making y the subject of the equation and expanding the bracket to simplify:
since y + 8 = ⁵/₂ (x - 2)
y = ⁵/₂ x - 13