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Rudiy27
3 years ago
5

estimate 0.00792398 to the nearest thousandth. Express your answer as a single-digit times a power of ten

Mathematics
1 answer:
Marianna [84]3 years ago
5 0

Answer: \approx8*10^{-3}

Step-by-step explanation:

In order to round to the nearest thousandth, you must observe the digit to the right of the digit in the thousandth place and then:

  • If it is less than 5, you must round down.
  • If it is greater than or equal than 5, you must round up.

In this case, given the number:

0.00792398

You can notice that the digit to the right of the digit in the thousandth place is 9.

Since 9>5, you must round up. Then:

0.00792398\approx0.008

Finally, to express this as a single-digit times a power of ten, move the decimal point three places to the right. Then you get:

\approx8*10^{-3}

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A cylindrical roller with diameter 77 cm and height 1 m is used to level a rectangular park with dimensions22 × 11 . Find the nu
Vlad [161]

Answer:  The number of revolutions required to level the park is 100.

Step-by-step explanation:

Given : Diameter of roller = 77 cm

Then radius of roller : r = \dfrac{77}{2}\ cm

Height = 1 m = 100 cm

Curved surface area of roller = 2\pi rh= 2\times\dfrac{22}{7}\times\dfrac{77}{2}\times100=24200\ cm^2

Dimensions of park = 22 × 11 m

Then Area of park = 22\times11\ m^2= 232\ m^2=232\times100\times100 \ cm^2

=2420000\ cm^2

Now , the number of revolutions required to level the park = (Area of park) ÷ (Curved surface area of roller )

2420000\div 24200=100

Hence, the number of revolutions required to level the park is 100.

7 0
3 years ago
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Ipatiy [6.2K]

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3 years ago
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Liono4ka [1.6K]

Answer:

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Step-by-step explanation:

Given the equation T =√k(k-b)(k-m), we are to make b the subject of the formula​

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Add j=k to both sides

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