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3 years ago

8

Express in scientific notation. Make sure your answer has the same number of significant figures as the starting value.

1 answer:

NeTakaya3 years ago

4 0

Answer:

61,103=6.1x10^4 (simplified version is 6.1E4)

Step-by-step explanation:

61,103, when rounded, becomes 61,000. Upon rounding it, you are able to follow the rules of significant figures and move the decimal up until it becomes 6.1000 and after doing so, count how many zeroes you have, drop the zeroes, and multiply it by ten to the power of however many zeroes there were. (fun fact, the tiny capital E on the calculators is a substitute for the ten to the power method that is significantly quicker to both type and write)

Steps Taken:

61,103->

61,000->

6,100.0->

610.00->

61.000->

6.1000->

6.1->

6.1x10^4

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A triangular pyramid has a base shaped like an equilateral triangle. The legs of the equilateral triangle are all 20 inches long

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Answer:

Surface area of pyramid with base equilateral triangle is $390+100\sqrt{3}$ square inches

Step-by-step explanation:

Recall the following result:

The total surface area(S) of a regular pyramid is given by,

$S = \frac{1}{2}pl+B$ ...... (1)

Here, p represents the perimeter of the base , $l$ the slant height and B the base area of the pyramid.

From the given information:

Side of equilateral triangle = 20 inches

Slant height of the pyramid( $l$ ) = 13 inches.

First find the perimeter and Area of the base pyramid.

Perimeter of equilateral triangle(p) = $3 \times (side)$

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Area of equilateral triangle(B) = $\frac{\sqrt{3} }{4} \times (side)^{2}$

= $\frac{\sqrt{3} }{4} \times (20)^2 = 100\sqrt{3}$ square inches.

Substitute the above values in equation (1) as shown below:

$S=\frac{1}{2} \times 60 \times 13+100\sqrt{3}$

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