This formula is usually obtained reasoning like this: the rectangular prism has 6 faces, thus the surface area is the sum of the areas of these faces.

2 faces are l×w rectangles, so their area is lw+lw=2lw. Note that we are not using the height to compute the area, then this is the independent term.

The 4 remaining rectangles involve the height as one of their dimensions, so their areas (2hw+2lh) depend on the height.

8 0

3 years ago

A way to remember corresponding angles is to remember: *

Montano1993 [528]

Haha ahaha hah ahaha haha

3 0

2 years ago

Which number produces a rational number when added to 0.5? A.0,54732871...., B.√3,C.-1.73205081.. .D.1/4

Andru [333]

Choice D is correct.
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4 0

3 years ago

If events X and Y are independent, what must be true? Check all that apply. P(Y | X) = 0 P(X | Y) = 0 P(Y | X) = P(Y) P(Y | X) =

lana [24]

if events X and Y are independent, then for intersection we multiply the probability

P(Y∩X) = P(Y) * P(X)

We know that

$P(Y|X) =\frac{P(YintersectionX)}{P(X)}$

Now we replace P(Y) * P(X) for P(Y∩X)

$P(Y|X) =\frac{P(Y)*P(X)}{P(X)}$

Cancel out P(X)

So $P(Y|X) = P(Y)$

Like that

$P(X|Y) =\frac{P(XintersectionY)}{P(Y)}$

Now we replace P(X) * P(Y) for P(X∩Y)

$P(X|Y) =\frac{P(X)*P(Y)}{P(Y)}$

Cancel out P(Y)

So $P(X|Y) = P(X)$

P(Y | X) = P(Y) and P(X | Y) = P(X) are true

3 0

2 years ago

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