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3 years ago

Find the GCF of 20c, 28cd

Mathematics

1 answer:

ankoles [38]3 years ago

6 0

Answer:

GCF is 4

Step-by-step explanation:

The factors of 20 are: 1, 2, 4, 5, 10, 20

The factors of 28 are: 1, 2, 4, 7, 14, 28

Then the greatest common factor is 4.

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2 years ago

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The cost of 7 books was $154.40. How much does each book cost?

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Answer:

22.057

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A sample of students is taken from the school's A honor roll. The school

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2 years ago

The radius of a right circular cone is increasing at a rate of 1.4 in/s while its height is decreasing at a rate of 2.3 in/s. At

Angelina_Jolie [31]

Answer:

The volume is changing at a rate given by:

$\frac{dV}{dt} =19559.56\,\,\frac{in^3}{s}$

Step-by-step explanation:

Let's recall the formula for the volume of acone, since it is the rate of the cone changing what we need to answer:

Volume of cone = $\frac{1}{3} B\,*\,H$

where B is the area of the base (a circle of radius R) which equals = $\pi\,R^2$

and where H stands for the cone's height.

We apply the derivative over time operator ( $\frac{d}{dt}$ ) on both sides of the volume equation, making sure that we apply the rule for the derivative of a product:

$V=\frac{1}{3} B\,*\,H\\\\V= \frac{1}{3} \pi\,R^2\,H\\\frac{dV}{dt} =\frac{\pi}{3}\,( \frac{d(R^2)}{dt} H+R^2\,\frac{dH}{dt} )\\\frac{dV}{dt} =\frac{\pi}{3}\,( 2\,R\,\frac{dR}{dt}\, H+R^2\,\frac{dH}{dt} )\\\frac{dV}{dt} =\frac{\pi}{3}\,( 2\,(110\,in)(1.4\,\frac{in}{s} )\,(151\,in)+(110\.in)^2\,(-2.3)\frac{in}{s} )\\\frac{dV}{dt} =19559.56\,\,\frac{in^3}{s}$

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2 years ago

!!ABOUT 15 POINTS!!

Karolina [17]

Thank you for posting your question above. Based on the situation above the initial post should be "Include a detailed description of the size and shape of the wrapper. (Try using measurements for a real cone to help you come up with the actual size.)" I hope the answer will help.

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3 years ago