Answer:
57 inches
Step-by-step explanation:
The height, width, and diagonal of the TV screen form a right triangle.
Use the pythagorean theorem, a² + b² = c², and solve for c, the hypotenuse/diagonal of the TV.
a² + b² = c²
30² + 48² = c²
900 + 2304 = c²
3204 = c²
56.6 = c
Round this to the nearest inch:
56.6
= 57
So, the diagonal of the TV screen is 57 inches
Step-by-step explanation:
Derivation using Product rule : -
To find the derivative of f(x) = sin 2x by the product rule, we have to express sin 2x as the product of two functions. Using the double angle formula of sin, sin 2x = 2 sin x cos x. Let us assume that u = 2 sin x and v = cos x. Then u' = 2 cos x and v' = -sin x. By product rule,
f '(x) = uv' + vu'
= (2 sin x) (- sin x) + (cos x) (2 cos x)
= 2 (cos2x - sin2x)
= 2 cos 2x
This is because, by the double angle formula of cos, cos 2x = cos2x - sin2x.
Thus, derivation of sin 2x has been found by using the product rule.
Answer:
25.1 inches
Step-by-step explanation:
Radius of the circle = 4 inches
We have to calculate the value of Circumference of the circle.
The formula to calculate the circumference is:
Circumference = 2πr
We have to use π = 3.14, as said in the question:
So using the values, we get:
Circumference = 2 x 3.14 x 4 = 25.12 inches
Number of decimals in radius is zero, so we have to round the answer to one decimal place as said in the question.
Therefore, the circumference of the circle rounded to one decimal place will be 25.1 inches
