A rectangle that is 2 inches by 3 inches has been scaled by a factor of 7

Mathematics

2 answers:

PilotLPTM [1.2K]3 years ago

7 0

It would be longer side lengths, because you scale it up by 7 that is like multiplying the sides by 7.

Katyanochek1 [597]3 years ago

5 0

Answer:

Step-by-step explanation:

14 by 21. 14 shorter length

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Find the volume of a cone with diameter of 12m and a height of 7m

Marysya12 [62]

Answer:

A) $84\pi$ or approximately $263.76$ cubic meters

Step-by-step explanation:

The formula for finding the volume of a cone is $V=\frac{1}{3}\pi r^{2} h$ where $V$ , $r$ , and $h$ are the cone's volume, radius, and height, respectively. We are given that we need to solve for the cone's volume, and we are also given the cone's height, but we don't know its radius. Not to worry though because we are given its diameter, and since radius is simply half of the diameter, we know that the cone's radius is $\frac{12}{2}=6$ m. Now, we know that $r=6$ and $h=7$ , so plugging these values into the equation, we get:

$V=\frac{1}{3}\pi r^{2} h$

$= \frac{1}{3} \pi *6^{2} *7$ (Substitute given values into equation)

$=\frac{1}{3}\pi *36*7\\=84\pi$ (Simplify)

Since $\pi$ is approximately $3.14$ , we know that $84\pi =84*3.14=263.76$ . Therefore, the volume of the cone is $84\pi$ or approximately $263.76$ cubic meters. Hope this helps!