Which direction will the box move in the diagram below?

Mathematics

2 answers:

Hitman42 [59]3 years ago

8 0

<h3>Answer: B) It will move to the right</h3>

Explanation:

We have 5 newtons of force pushing to the right, and 3 newtons of force pushing to the left. We can place the positive direction on the right hand side and the negative direction on the left.

This means we can think of "3 newtons of force to the left" as the integer -3

That way we can then add 5 to -3 getting 5+(-3) = 2. The result is positive, meaning the net force is pushing to the right. Specifically, 2 newtons of force are pushing to the right.

It's like saying there are 5 people pushing to the right and 3 pushing to the left. From each side, 3 people will pair up and they'll cancel each other out. The 2 extra people pushing right will ultimately win out.

FromTheMoon [43]3 years ago

4 0

Answer:

B.it will move to the right.

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2 years ago

Find the island height of a pyramid with a volume of 432 ft^3 if the base is a square with a side length of 12 ft. Round to the

dmitriy555 [2]

So the picture below shows what the slant height is. It also shows that the pyramid can form a right triangle, in which we can use the pythagorean theorem, which is $leg^2+leg^2=hypotenuse^2$ .

But first, we have to find the height of this pyramid. The volume formula for a square pyramid is $A=\frac{lwh}{3}$ . Since we know its a square pyramid, the length and width are going to be the same (12 ft), and we know that the volume is 432 ft^3. Using this info, we can solve for the height:

$432=\frac{12*12*h}{3}\\ 1296=12*12*h\\ 1296=144*h\\ 9=h$

So now we can use the pythagorean theorem (remember to split the 12 by 2, since the right triangle has only half the length of the base). Our equation will be solved as such:

$6^2+9^2=s^2\\ 36+81=s^2\\ 117=s^2\\ 10.8=s$