3 years ago

Write two decimal that are equivalent to the given decimal. 3.600

Mathematics

1 answer:

erik [133]3 years ago

8 0

Answer:

3.6, 3.60

Step-by-step explanation:

Equivalent decimal numbers may have different numbers of trailing zeros.

_____

Comments on equivalents

The number can be written in several different forms, including ...

3 6/10
3 3/5
0.03600×10^2

and variations on these.

As a straight standard-form decimal number this representation (3.600) indicates it has 4 significant figures. There is no other equivalent standard-form decimal number that will convey the same information regarding significant figures. The form in scientific notation above will convey that information because it retains the two trailing zeros.

The mixed numbers can be considered to have a precision matching that of the fraction, but when we're concerned about the precision of the answer, we usually use a decimal or scientific notation presentation.

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In the diagram below, if the measure of < C = 45 °, and side AC = 10, then side BC = _____.

Softa [21]

Solution:

Given:

Using the trigonometric ratio of cosine,

$\begin{gathered} cos\theta=\frac{adjacent}{hypotenuse} \\ cos45=\frac{BC}{10} \\ BC=10\times cos\text{ 45} \\ BC=10\times\frac{\sqrt{2}}{2} \\ BC=5\sqrt{2} \end{gathered}$

Therefore, OPTION A is correct.