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victus00 [196]
3 years ago
13

Round the following 25.635 to 2 d.p 315.239 to 1 dp0.3975 to 3dp 14.989 to 1 dp

Mathematics
1 answer:
bazaltina [42]3 years ago
6 0
Well, you round up if the digit behind the decimal place is 5 or more and round down if the digit is 4 or less 

I guess the first is 25.64, since two decimal places means the hundredths, 3.  The digit behind is 5 , meaning that 3 will become a 4.
then 315.2
then 0.398
then 15 because the digit behind 9+ is an 8 greater than 5, which means the 9 is rounded up to 10, which is a one when it passes through the decimal point, making it 15.
sorry if my explanation sucks.  I hope this helps.
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<em>A</em><em>N</em><em>S</em><em>W</em><em>E</em><em>R</em>

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A wire is stretched from the ground to the top of an antenna tower. The wire is 15 feet long. The height of the tower is 3 feet
Mariana [72]

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<h3>How to find the distance and the height?</h3>

Here we can model the situation with a right triangle, where the length of the wire is the hypotenuse.

The height is one cathetus and the distance is the other catheti.

Let's define:

  • h = height
  • d = distance.
  • hypotenuse = 15ft

We know that the height of the tower is 3 ft larger than the distance, then:

h = d + 3ft

Now we can use the Pythagorean theorem, it says that the sum of the squares of the cathetus is equal to the square of the hypotenuse.

Then:

d^2 + (d + 3ft)^2 = (15ft)^2

Now we can solve this equation for d:

d^2 + d^2 + 6ft*d + 9ft^2 = (15ft)^2\\\\2d^2 + 6ft*d - 216 ft^2 = 0\\\\d^2 + 3ft*d - 108ft^2 = 0

Then the solutions are:

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We only take the positive solution:

d = (-3ft + 21ft)/2 = 9ft

And the height is 3 ft more than that, so:

h = 9ft + 3ft = 12ft

The distance d is 9 ft and the height is 12ft.

If you want to learn more about right triangles:

brainly.com/question/2217700

#SPJ1

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