we have 630 one-inch unit cubes and we want to completely fill the rectangular box (unknown dimensions).
If all the cubes are fitted tightly inside rectangular box without living any space, then box volume would be equal to cubes volume.
There are 630 one-inch unit cubes, so volume of cubes = 630 cubic inches.
Now the volume of rectangular box would also be 630 cubic inches.
We know the formula for volume of rectangular box = length ×
width × height.
So we need to find any three positive integers whose product is 630.
Out of all given choices, only option A satisfies the condition of factors of 630.
Hence, option A i.e. (7 in x 9 in x 10 in) is the final answer.
You gave us the speed and the frequency, and you need the wavelength.
You were also nice enough to remind us that (fqy)x(lng) = speed.
So . . . F x W = 343 m/s
Divide each side by F :
W = (343 m/s) / F
W = (343 m/s) / (240 / s)
W = (343/240) m
<em>W = 1.429 meters</em>
Well, there are actually millions of colors in the rainbow, (every color that the human eye can see), but I do understand the question you're asking:
-- When Sara is ready to make her first selection, there are seven things with different colors in the pot, and one of them is red.
The probability that she picks the red one is ( 1 / 7 ).
The question says "with replacement". That means that after she selects it and looks at it, she puts it back in the pot. So . . .
-- When she's ready to make her second selection, the same seven things with different colors are still in the pot. One of them is orange.
The probability that she picks the orange one is ( 1 / 7 ).
-- The probability of BOTH selections being successful (the color she wants) is
(1/7) x (1/7) .
That's <em>(1/49)</em>, which is about <em>2.04 percent</em> .
Answer:
X=132-13A/A, A cannot equal 0
A=132/X+13, X cannot equal -13