Step-by-step explanation:
For number 30, its easier if its broken down so were going to make it √200*x^2*y^2*z^2. We can't get a square root of 200 so we will break it into 100*2 to get √2*100*x^2*y^2*z^2. Now let's look at what we can take the square roots of. 2 doesn't have a nice sq. rt. so we will leave it there. 100 has the rt. of 10 so we can make 10√2*x^2*y^2*z^2. X^2 has the root x and we can follow this with the other variables to get 10xyz√2. There is your final simplified answer.
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Emily travelled 35 miles and 25 miles in actual distance.
Scale is defined as the ratio of the length of any object on a model (blueprint) to the actual length of the same object in the real world.
Given that a map is showing a scale of 1 in = 5 miles, we need to find the actual distance if Emily travel 7 inches and 5 inches according to the map,
So,
Since 1 in = 5 mi
Therefore,
7 in = 5 × 7 = 35 miles
Similarly,
5 in = 5 × 5 = 25 miles
Hence Emily travelled 35 miles and 25 miles in actual distance.
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What would the volume of the prism be if each dimension were halved?