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morpeh [17]
3 years ago
12

Find the surface area of regular prism with height 6 cm, if the base of the prism is a Regular quadrilateral with side 4 cm.

Mathematics
1 answer:
marshall27 [118]3 years ago
6 0
A "regular quadrilateral" is a square, so the length and width are both 4 cm. The surface area of a rectangular prism is given by
  S = 2(LW +H(L +W))
  S = 2((4 cm)*(4 cm) +(6 cm)*(4 cm +4 cm))
  S = 2(16 cm² +48 cm²)
  S = 2*64 cm² = 128 cm²

The surface area of the prism is 128 cm².


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A young couple purchases their first new home in 2011 for​ $95,000. They sell it to move into a bigger home in 2018 for​ $105,00
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Given:

The value of home in 2011 is $95,000.

The value of home in 2018 is $105,000.

To find:

The exponential model for the value of the home.

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The general exponential model is

y=ab^x       ...(i)

where, a is initial value and b is growth factor.

Let 2011 is initial year and x be the number of years after 2011.

So, initial value of home is 95,000, i.e., a=95,000.

Put a=95000 in (i).

y=95000b^x       ...(ii)

The value of home in 2018 is $105,000. It means the value of y is 105000 at x=7.

105000=95000b^7

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Taking 7th root on both sides, we get

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Put b=\left(\dfrac{21}{19}\right)^{\frac{1}{7}} in (ii).

y=95000\left(\left(\dfrac{21}{19}\right)^{\frac{1}{7}}\right)^x

y=95000\left(\dfrac{21}{19}\right)^{\frac{x}{7}}

Therefore, the required exponential model for the value of home is y=95000\left(\dfrac{21}{19}\right)^{\frac{x}{7}}, where x is the number of years after 2011.

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3 years ago
Please hurry Thank you
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I believe the answer is true.
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Answer:

|(−2)2(−8)|

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Step-by-step explanation:

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