Answer:
√446 ≈ 21.12 cm
Step-by-step explanation:
The longest dimension of a rectangular prism is the length of the space diagonal from one corner to the opposite corner through the center of the prism. The Pythagorean theorm tells you the square of its length is the sum of the squares of the dimensions of the prism:
d² = (15 cm)² +(11 cm)² +(10 cm)² = (225 +121 +100) cm² = 446 cm²
d = √446 cm ≈ 21.12 cm
The longest line segment that can be drawn in a right rectangular prism is about 21.12 cm.
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<em>Additional comment</em>
The square of the face diagonal is the sum of the squares of the dimensions of that face. The square of the space diagonal will be the sum of that square and the square of the remaining prism dimenaion, hence the sum of squares of all three prism dimensions.
The answer would be D)12/4 because if 4 quarts=1 gallon then 12/4=3 gallons
Answer:
I have no idea
Step-by-step explanation:
5xt789v
Answer:
yes
Step-by-step explanation:
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Answer:
A, or 16 gallons
Step-by-step explanation:
First, you have to analyze what the function means. It tells you that x is the number of minutes in the shower, so now we have y=3(minutes in shower). Logically, 3 has to be gallons per minute so that the equation makes sense, since you're multiplying 3 by minutes in the shower. It also uses the same phrasing in the beginning of the problem when it says "A standard shower head in Jen's house dispenses 5 gallons of water per minute." Now, it's 3 gallons of water per minute (x). That means y has to be overall gallons. So, now the equations is overall gallons=3 gallons per minute. If she uses the shower for 8 minutes we can plug in for x. So now the equation is overall gallons=3 gallons times 8 minutes, or overall gallons=24 gallons. With the new shower head, 24 gallons is used. Now to find for the old shower head. 5 gallons per minute times 8 minutes = 40 gallons. Now we subtract to find out how many gallons Jen saves each day. 40-24=16. She saves 16 gallons.
