please help me :) allana used 3/5 yard of fabric to make a scarf can she make 2 of these scarves with 1 7/10 yards of fabric and
why
2 answers:
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Part A
Given that the puddle is circular in shape and that the <span>radius of the puddle, in centimeters, at time t, in seconds, is given by the equation
.
Then the area of the puddle is given by the area of a circle =
But, given that </span><span>, then 
Therefore, the </span>equation for the area of the puddle as a function of t is given by <span>
Part B
The average rate of change of a function f(x) between x = a and x = b is given by
.
Thus, the average rate of change </span>of the area of the puddle with respect to time between t = 0 and t = 16 is given by
Therefore, the average rate of change of the area of the puddle with respect to time between t = 0 and t = 16 is π.
Part C
The area of the puddle with respect to the radius is given by <span>
Given that, thus when t = 0, 
and when t = 16, 
Thus, the average rate of change of the </span><span>area of the puddle with respect to the radius between r = 0 and r = 4 is given by
Therefore, </span><span>the average rate of change of the area of the puddle with respect to the radius between t = 0 and t = 16 is</span> 4π.
Part D
<span>The circumference of a circle is given by
Thus, the radius of the puddle in terms of circumference is given by
Thus, the area of the puddle with respect to the circumference, C, of the puddle is given by
Since, and 
, thus when t = 0, r = 0 and C = 0; when t = 16, r = 4 and C = 8π.
Thus </span><span>the area of the puddle with respect to the circumference, C, of the puddle between C = 0 and C = 8π is given by
Therefore, the average rate of change of </span><span>the area of the puddle with respect to the circumference of the puddle between t = 0 and t = 16</span> is 2.
Given that the puddle is circular in shape and that the <span>radius of the puddle, in centimeters, at time t, in seconds, is given by the equation
Then the area of the puddle is given by the area of a circle =
But, given that </span><span>
Therefore, the </span>equation for the area of the puddle as a function of t is given by <span>
Part B
The average rate of change of a function f(x) between x = a and x = b is given by
Thus, the average rate of change </span>of the area of the puddle with respect to time between t = 0 and t = 16 is given by
Therefore, the average rate of change of the area of the puddle with respect to time between t = 0 and t = 16 is π.
Part C
The area of the puddle with respect to the radius is given by <span>
Given that
Thus, the average rate of change of the </span><span>area of the puddle with respect to the radius between r = 0 and r = 4 is given by
Therefore, </span><span>the average rate of change of the area of the puddle with respect to the radius between t = 0 and t = 16 is</span> 4π.
Part D
<span>The circumference of a circle is given by
Thus, the radius of the puddle in terms of circumference is given by
Thus, the area of the puddle with respect to the circumference, C, of the puddle is given by
Since,
Thus </span><span>the area of the puddle with respect to the circumference, C, of the puddle between C = 0 and C = 8π is given by
Therefore, the average rate of change of </span><span>the area of the puddle with respect to the circumference of the puddle between t = 0 and t = 16</span> is 2.
Answer:
Height is 12.68 m
Step-by-step explanation:
• Consider triangle formed by Ethan's head, Ethan's feet and shadow's tip
- opposite = 1.85 m
- hypotenuse = x
- adjacent = (28.45 - 24.3) = 4.15 m
• From pythogras theorem:
• From scale factors: