White the number 876,543,210.25 in expanded notation

1 answer:

4 0

<span>We need to write the expanded notation of the given number.
The given number is => 876 543 210 .25
Expanded notation is an expression where you give the expanded form of a certain number.
=> 876 543 210 .25 = 800 000 000 + 70 000 000 + 6 000 000 + 500 000 + 40 000 + 3 000 + 200 + 10 + .20 + .05
Notice that we show the expanded form by adding each value of given number.</span>

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Garrett is building a slide for his kids. If the ladder is 1 meter tall and he wants the bottom of the slide to be 4 meters from

TEA [102]

The slide needs to be 4.123 meters

Step-by-step explanation:

Length for the ladder- 1 mtr

Distance of the bottom of the slide from the ladder- 4 mtr

Length of the slide needed

We can view the whole set up in the form of a right-angled triangle with the base representing the slide distance from the ladder, ladder length representing altitude and slide length representing as hypotenuse (As provided in the diagram)

For right-angled triangle we know from Pythagoras theorem-

Base² + altitude²= hypotenuse ²

Substituting the values of base as 4 mtr and altitude as 1 m

(Hypotenuse)²= 17

∴ Hypotenuse (slide length) =4.123 mtr

∴ Length of the slide needed= 4.123 meters