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valentinak56 [21]
3 years ago
6

HELP I NEED HELP ASAP

Mathematics
1 answer:
notsponge [240]3 years ago
8 0

Answer:

3w² + 10w +8 (C)

Step-by-step explanation:

A rectangle has a length that is 3 times its width, w, in inches. The width is increased by 2 inches, and the length is increased by 4 inches. Which expression represents the area of the larger rectangle?

First, remember that the length of the first rectangle is 3 * w, or 3w.

Now, onto the second rectangle.

The width is increased by 2, so it becomes w + 2

The length is increased by 4, so it becomes 3w +4.

Area is length times width, so the area is

(w + 2)(3w + 4)

Simplify.

3w*w + 4*w + 2*3w + 2*4 =

3w² + 4w + 6w +8

3w² + 10w + 8, or C

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puteri [66]

Answer:

The umbrella will fit in, but there will be a lot of extra room.

Step-by-step explanation:

Remember the Pythagorean theorem:

x^(2) + y^(2) = n^(2)

where "x" and "y" are the legs of the right triangle and "n" is the hypotenuse

In this problem it is given that the sides (legs) are:

38in, and 24in

and diagonally across is 29in

so the hypotenuse is 29in

therefore we can form the equation:

38^(2) + 24^(2) = 29^(2)

without solving it is clear that

38^(2) + 24^(2) > 29^(2)

because 38 is a leg, but it is greater than 29, which means that 38 - 24 - 29 is not a Pythagorean triple,

but because 38 > 29, then the 29 in umbrella will fit into the suitcase, but it will not be a snug fit, there will be a lot of extra room

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Step-by-step explanation:

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Step-by-step explanation:

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