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.
Answer: I think the two trains meet at 9pm
Explanation: A=train a B=train b
If A is traveling for 6 hours and B is traveling for 3 hours, then you minus 3 hours from A, so you are left with 3 hours. Convert that into time, and you are left with 9pm!
Hope this helps! :)
X² <span>− 3x − 70=0
</span>x² + 7x - 10x − 70=0
x(x+7) - 10(x+7) = 0
(x+7)(x-10) = 0
x + 7 = 0 or x - 10 = 0
x = -7 x = 10
Answer: x=-7, x=10
Answer:
He can buy 6 bagels.
Step-by-step explanation:
In order to figure out how much each bagel is, you need to divide $3.00 by 4. This gives you .75 because 3.00/4=75. Each bagel is therefore $0.75. Now, in order to find how many bagels you can buy with $4.50, you have to divide 4.50 by 0.75. The equation is 450/75=6. You can buy 6 bagels with $4.50.
Let me know if you need any more help. Have a nice day. :)
