Answer: 53/5, 101/20
Step-by-step explanation:
10.6 is = 106/10. Then divide both numerator and denominator by 2. Then it equals 53/5.
5.05 = 505/100. Then divide both numerator and denominator by 5. This will equal 101/20.
Applying implicit differentiation, it is found that dy/dt when y=π/4 is of:
a-) -√2 / 2.
<h3>What is implicit differentiation?</h3>
Implicit differentiation is when we find the derivative of a function relative to a variable that is not in the definition of the function.
In this problem, the function is:
xcos(y) = 2.
The derivative is relative to t, applying the product rule, as follows:
Since dx/dt=−2, we have that:
When y = π/4, x is given by:
xcos(y) = 2.
Hence:
Since cot(pi/4) = 1, we have that:
Which means that option a is correct.
More can be learned about implicit differentiation at brainly.com/question/25608353
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Answer: 0.720
Step-by-step explanation:
0.720 = 18/25
0.51 = 51/100
0.144 = 18/125
0.023 = 23/1000
Answer:
The length of arc is 10.46 units
Step-by-step explanation:
Angle is a measure of rotation of a given ray about its initial point. The original ray is called the initial side and the final position of the ray after rotation is called the terminal side of the angle. The point of rotation is called the vertex.
If the direction of rotation is called anticlockwise, the angle is said to be positive
And if the direction of rotation is called clockwise, then angle is said to be negative
see the diagram (1)
<u>Radian measure</u>:-
Angle subtended at the center by an arc of length '1' unit it is a unit circle(circle of radius 1 unit) is said to have a measure of one radian.
see diagram (2)
By using formula
here 'r' be the radius and θ be the angle measure and 'l' be the length of arc
l = r θ
given radius r= 5
given angle θ = 120 =
l = 5 X =
The length of arc is 10.46 units
If Mia is cutting apples then each friend gets about 1.43 apples. If Mia is only giving whole apples then each friend gets 1 apple.