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ella [17]
3 years ago
8

Without using a calculator put these side lengths in order from least to greatest

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
7 0
Since your interested in square root each value in each radicand you can compare them directly. A value of 6 is greater than 3, which is greater than 2 . The √6 and the √3 terms are each multiplied by 2, which will not alter which is greater than the other . And since √2 is not multiplied by 2, it remains the smallest



So , the correct order is
2√6 cm > 2√3 cm > √2 cm.
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Which expression is equivalent to 29/63 ?
Alexeev081 [22]
It's equivalent to 0.46 in decimal or 29÷63 in division form.
4 0
4 years ago
How do you solve tan(sin^-1 x/2)? (show steps)
andrew11 [14]

First: Equations are solved. \tan\left(\sin^{-1}\dfrac x2\right) is an expression, and expressions can be simplified.

Now suppose y=\sin^{-1}\dfrac x2. Imagine a right triangle with one angle (not the one opposite the hypotenuse, of course) labeled y. This relation suggests that

\sin y=\dfrac x2

and under the hood, we're assuming that -\dfrac\pi2, because otherwise we wouldn't be able to properly alternate from x to y so seamlessly.

Now,

\tan\left(\sin^{-1}\dfrac x2\right)=\tan y

so the given expression is the same as the tangent of that same angle y.

If \sin y=\dfrac x2, then in the triangle, the leg opposite the angle y occurs with the length of the hypotenuse in a ratio of x to 2. By the Pythagorean theorem, the remaining side - call it z - satisifies

z^2+x^2=2^2\implies z=\sqrt{4-x^2}

and we have

\tan y=\dfrac xz=\dfrac x{\sqrt{4-x^2}}

4 0
3 years ago
Give the slope of <img src="https://tex.z-dn.net/?f=y-4%3D5%28x-2%29" id="TexFormula1" title="y-4=5(x-2)" alt="y-4=5(x-2)" align
atroni [7]

For this case, the first thing you should know is that the generic equation of the line is given by:

y-yo = m (x-xo)

Where,

m: slope of the line

(xo, yo): ordered pair that belongs to the line

We then have the following equation:

y-4 = 5 (x-2)

Comparing with the generic equation, we can conclude that the slope of the line is given by:

m = 5

Answer:

The slope of the line is:

m = 5

7 0
3 years ago
Read 2 more answers
What is a negative slope and passes through the<br> origin?
KIM [24]

Answer:

A negative slope is for the line running in opposite ways (downwards). And it cannot pass through the origin.

{ \underline{ \mathfrak{ \green{Good \: grace}}   \:  \:⚜ \:  \:  { \blue{ \mathfrak{Good \: God}}}}}

7 0
3 years ago
It is given that varies directly as . when x+2 , y=16, find the value of when x=6 .
PolarNik [594]

Answer:

y=48

Step-by-step explanation:

Question :

Given:

y varies directly with x

when x=2, y=16

To find value of  y when x=6

Solution:

From the given data we have:

y ∝ x

Thus, we have:

y=kx

where k is the constant of proportionality.

<em>We can find the value of k by plugging in the given values.</em>

when x=2, y=16

16=k(2)

Dividing both sides by 2.

\frac{16}{2}=\frac{k(2)}{2}

8=k

∴ k=8

So, the equation to find y when x=6 will be:

y=8\times 6=48

Thus, when x=6, y=48 (Answer)

5 0
3 years ago
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