The inchworm, moving at a speed of 1/5 inch per hour, will move a distance of 1.2 inches after 6 hours, calculated by multiplying its speed by the given time.
This question is about basic multiplication in mathematics. When dealing with a problem like this, the first step is to understand that the distance an object travels is equal to its speed multiplied by the time it travels.
The inchworm in this case moves at a speed of 1/5 inch per hour. Therefore, to find out the total distance it travels over a certain amount of time, we simply multiply this speed by the time. Here the time is given as 6 hours.
So, we get: Distance = (1/5 inch per hour)x(6 hours) = 6/5 inches or 1.2 inches. Therefore, the inchworm will have moved 1.2 inches after 6 hours.
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The equation of the locus is a circle (x-h)²+(y-k)²=5²
The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.
Given here: We are required to find a locus of points which are at a distance of 5 cm from a point D.
Suppose, a circle is the locus of all the points which are equidistant from the centre.
We know that the general equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2, where ( h, k ) is the center and r is the radius.
Thus the equation of the circle with radius 5 is given by
(x-h)²+(y-k)²=5²
Hence, The equation of the locus is a circle (x-h)²+(y-k)²=5²
Learn more about circle here:
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