0.327 rounded to the nearest hundredths

Mathematics

2 answers:

daser333 [38]3 years ago

8 0

.33 because the 2 needs to round up hecause there is a number greater than 5 after it

Mazyrski [523]3 years ago

3 0

Answer:

0.33

Step-by-step explanation:

0.327 rounded to the nearest hundredths

Here 0 is in ones place

After the decimal point, 3 is in tenths place

2 is in hundredths place and 7 is in thousandth place

To round to nearest hundredths, we look at the number in thousandths place.

7 is in thousandth place that is greater than 5. so we add 1 with 2 that is in hundredths place

0.327 is rounded to 0.33

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Use a right triangle to write the following expression in algebraic expression. Assume that x is positive and in the domain of t

grin007 [14]

Answer:

The algebraic expression for $tan(cos^{-1}(9x))=\frac{\sqrt{1-81x^{2}}}{9x}$

Step-by-step explanation:

Let θ = $cos^{-1}(9x)$ use the properties of inverse trigonometric functions $cos(\theta)=cos(cos^{-1}(\theta))=\theta\\cos(\theta)=cos(cos^{-1}(9x))=9x$

In a right angled triangle, the cosine of an angle is

$cos(\theta)=\frac{adjacent}{hypotenuse}$

Use this expression $cos(\theta)=9x$ to find what are the sides of the right triangle.

$cos(\theta)=\frac{adjacent}{hypotenuse}\\cos(\theta)=\frac{9x}{1}$

Next find what is the expression for the opposite side, for this use the Pythagorean theorem and the values above

$opposite^{2}+adjacent^{2}=hypotenuse^{2}\\opposite^{2}= hypotenuse^{2}-adjacent^{2}\\opposite =\sqrt{1-81x^{2}}$

We said that $\theta = cos^{-1}(9x)$ , so now we can use the definition of tangent $tangent(\theta)=\frac{opposite}{adjacent}$ and the right triangle that we defined to find the algebraic expression for