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zmey [24]
3 years ago
15

I need help please and thank you

Mathematics
1 answer:
BartSMP [9]3 years ago
6 0

Answer:

  3.33×10⁴

Step-by-step explanation:

You can use the hint, or you can use a common exponent. Here is the latter case.

  (3.9×10⁴) -(5.7×10³) = (3.9×10⁴) -(0.57×10⁴) = (3.9 -0.57)×10⁴

  = 3.33×10⁴

_____

With a little practice, you can see the effect on exponents of moving the decimal point. Here, we have ...

  5.7×10³ = (0.57×10)×10³ = 0.57×(10×10³) = 0.57×10⁴

__

When adding or subtracting in scientific notation, all that is required is that the exponents of all the numbers be the same. The hint says make all the exponents be 0. Above, we have chosen to make them all be 4. You could also use 3:

  (3.9×10⁴) -(5.7×10³) = (39×10³) -(5.7×10³) = (39 -5.7)×10³

  = 33.3×10³ = 3.33×10⁴

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ANSWER

72 square feet

EXPLANATION

The perimeter of a rectangle is given by:

P= 2l+2w

It was given that, the perimeter of the rectangular mat, is 36 feet.

36= 2l+2w

Divide through by 2.

18 = l + w...(1)

It was given also that, the length of the mat is twice its width.

This implies that,

l = 2w ...(2)

Put equation (2) into equation (1) to get,

18 = 2w + w

18 = 3w

w = 6 \: ft

This means that the length is 12 ft.

The area of the rectangular mat is

A = l \times w

A = 6 \times 12 = 72 {ft}^{2}
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