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3 years ago

What is 310.286 rounded to the nearest tenth

Mathematics

2 answers:

wel3 years ago

8 0

310.286 rounded to the nearest tenth

We write the place chart for the given number

Hundred tens Ones point tenths hundredths thousandths

3 1 0 . 2 8 6

To round the number to nearest tenths, we look at the number in hundredths place. 8 is greater than 5 so we add 1 with the number in tenths place

Hence , the number 2 in tenths place becomes 3

310.286 rounded to the nearest tenth is 310.3

Pani-rosa [81]3 years ago

6 0

The tenths place is the first number to the right of the decimal. in the number 310.286, the two is in the tenths place. the 7 (in the hundreths place) causes the number to be rounded up to 310.3 when rounded to the tenths

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Question 1: Are the footprints of the two sheds similar?

Yes, the two sheds are similar.

Question 2: Tell whether the footprint of the least expensive shed is an enlargement or a reduction,

It is a reduction

Question 3: Find the scale factor from the most expensive shed to the least expensive shed

The scale factor is 3/2

Explanation:

Question 1: Are the footprints of the two sheds similar?

The footprints of the two sheds will be similar if their measures are proportional.

The ratio of the measures of the footprint of the most expensive shed is:

width/length = 15 feet / 21 feet = 5 / 7

The ratio of the measures of the footprint of the least expensive shed is:

width/length = 10 feet / 14 feet = 5 / 7

Since, the two ratios are equal, you conclude that the corresponding dimensions are proportional and the two sheds are similar.

Question 2: Tell whether the footprint of the least expensive shed is an enlargement or a reduction.

A reduction is a similar transformation (the image and the preimage are similar) that maps the original figure into a smaller one.

Since the dimensions of the foot print of the least expensive shed, 10 feet wide by 14 feet long, are smaller than the dimensions of the most expensive shed, 15 feet wide by 21 feet long the you conclude that the former is a reduction of the latter.

Question 3: Find the scale factor from the most expensive shed to the least expensive shed.

To find the scale factor from the most expensive shed to the least expensive shed, you divide the measures of the corresponding dimensions. You can do it either with the widths or with the lengths.

Using the widths, you get:

width of the foot print of the most expensive shed / width of the foot print of the least expensive transformation

15 feet / 10 feet = 3/2.

That means that the scale factor from the most expensive shed to the least expensive shed is 3/2.

Using the lenghts, you should obtain the same scale factor:

length of the foot print of the most expensive shed / length of the foot print of the least expensive transformation

21 feet / 14 feet = 3/2. Such as expected.

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3 years ago