The formula for volume is V=lhw, or length times height times weight. To find the length, you divide the volume by the height and width.
In this case, divide 3,060 first by 12, the height, then by 15, the width.
3,060/12=255
255/15=17
The length is 17.
Answer:
Pasos para resolver una ecuación lineal
3x−2/4−2x+5/3=1−x/6
Multiplique ambos lados de la ecuación por 12, el mínimo común denominador de 4,3,6.
36x−3×2−24x+20=12−2x
Multiplica −3 y 2 para obtener −6.
36x−6−24x+20=12−2x
Combina 36x y −24x para obtener 12x.
12x−6+20=12−2x
Suma −6 y 20 para obtener 14.
12x+14=12−2x
Agrega 2x a ambos lados.
12x+14+2x=12
Combina 12x y 2x para obtener 14x.
14x+14=12
Resta 14 en los dos lados.
14x=12−14
Resta 14 de 12 para obtener −2.
14x=−2
Divide los dos lados por 14.
x=
14
−2
Reduzca la fracción
14
−2
a su mínima expresión extrayendo y anulando 2.
x=−
7
1
Step-by-step explanation:
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:
4
Step-by-step explanation:
Answer: The height of the container is 10 centimeters. If its diameter and height were both doubled, the container's capacity would be 8 times its original capacity.
Step-by-step explanation:
The volume of a cone can be calculated with this formula:
Where "r" is the radius and "h" is the height.
We know that the radius is half the diameter. Then:
We know the volume and the radius of the conical container, then we can find "h":
The diameter and height doubled are:
Now the radius is:
And the container capacity is
Then, to compare the capacities, we can divide this new capacity by the original:
Therefore, the container's capacity would be 8 times its original capacity.
