Answer:
The rate at which the distance between the two people is changing 15 seconds later is 7.28 ft/sec.
Step-by-step explanation:
Here, we note the following
Let the person walking way fom the elevator be X
Let the other person going up in the elevator be Y
Therefore after 15 seconds, their positions will be;
For X, 2 ft/sec × 15 s = 30 ft away from the elevator
For Y, 7 ft/sec × 15 s = 105 ft up in the elevator
At that instant, the distance between them is given as
d² = x² + y²
= 30² +105² = 11925 ft²
d = √11925 ft² = 109.202 ft
The rate of change of the distance between the two peopl, X and Y is given as
Therefore, or
Since is given as 2 ft/sec and = 7 ft/sec
Then
Based on the calculations, we can describe the area of the striped rectangle as 4/10 × 2/3.
<h3>What is a rectangle?</h3>
A rectangle can be defined as a type of quadrilateral in which its opposite sides are equal and all the angles formed are right angle.
<h3>How to calculate the area of a rectangle?</h3>
Mathematically, the area of a rectangle can be calculated by using this formula;
A = LW
<u>Where:</u>
- A represents the area of a rectangle.
- l represents the length of a rectangle.
- w represents the width of a rectangle.
<u>Given the following data:</u>
Width = 3 rectangles (top to bottom).
Length = 10 rectangles (left to right).
Substituting the given parameters into the formula, we have;
Area = 10 × 3
Area = 30 rectangles.
From the diagram (see attachment), we can logically deduce that the striped rectangle comprises 8 rectangles, and the required area is given by:
Area of striped rectangle = 8/20 of the other portions
Area of striped rectangle = 8/20 × 20/30
Area of striped rectangle = 4/10 × 2/3.
Read more on area of a rectangle here: brainly.com/question/25292087
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Answer:
Percentage of error by Clare is estimated as 4.1667 %
Step-by-step explanation:
Height measured by Clare = 4 feet
Height measured by Doctor = 4 feet, 2 inches
Percentage error = ?
Percentage error = Difference/ Actual height *100
Percentage error = (2/ (4*12))*100
Percentage error = 4.1667 %
The accurate height is measured by Doctor, as he have more accurate measurement system.