If the side length is greater than 11.11 cm then it will not overflow.
Otherwise, it will overflow.
If Joe tips the bucket of water in a cuboid container and the water is not overflowing then the cuboid container must be of volume greater than 1370 cm³.
We find the cube root of 1370 cm³.
![\sqrt[3]{1370} \approx11.11](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B1370%7D%20%5Capprox11.11)
Then the cuboid container should have a side of length greater than 11.11 cm.
Here the statement "If I tip my bucket of water in the cuboid container, it will never overflow" is correct or wrong based on the information that the container has a side length lesser or greater than 11.11 cm.
If the side length is greater than 11.11 cm then it will not overflow.
Otherwise, it will overflow.
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The answer is D. I’m assuming this is surface area so here’s my explanation:) ok so the area of the triangle is 6 (4x3 divided by 2) and when you add the other triangle that’s 12. Ok so we have 12 so far. Then the area of the bottom rectangle is 24 (3x8). Then the area of the side rectangle is 32 (4x8). THEN the top rectangle’s area is 40 (8x5). When you add the numbers up (12+24+32+40) you get 108! And of course dont forget the cm2. ( centimeters squared ). :) I hope this helps
Use algebra.
Let the number of stickers each had in the beginning = x stickers.
Ray lost 10 we represent this by
x - 10 ( = no. stickers he has now)
Tom bought 200 so the number of stickers he now has
= x + 200
Rays has 1/4 as much as Tom so we can now create the equation
1/4(x + 200) = x - 10
Soling for x:-
1/4 x + 50 = x - 10
60 = 3/4 x
x = 60 * 4/3 = 80
Answer they had 80 stickers at first.
Answer:
b) -10
Step-by-step explanation:
x^2 + 3x + k = (x - 2)(x - a)
(x - 2)(x - a) = x^2 - 2x - ax + 2a = x^2 + [-2 - a)x] + 2a
-2 - a = 3
2a = k
a = -5
k = 2(-5) = -10
Answer: b) -10
