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2 years ago

This symbol < means that one quantity is or equal to the second quantity

2 answers:

5 0

< means one quantity is less then
< = (I cant put the line under the inequality sign, so I just put = ).....this means that one quantity is less then or equal to another quantity

> means one quantity is greater then another quantity
> = means that one quantity is greater then or equal to another quantity

12345 [234]2 years ago

3 0

Answer:

<h2>False</h2>

Step-by-step explanation:

When we talk about inequaily relations, we have four symbols to express the different relations about inequalities.

indicates that the first expression is less than the second expression.

$>$ indicates that the first expression is mora than the second expression.

$\leq$ indicates that the first expression is less than or equal to the second expression.

$\geq$ indicates that the first expression is more than or equal to the second expression.

Therefore, the given statement false, because the symbol < doesn't include equality. SO, the answer is false.

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The slope in the linear equation y=12x+5 is _[blank]_.

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2 years ago

A laser travels from glass to water at an angle of 35° with the normal, Θ1. If water has an index of refraction of 1.33 and glas

umka2103 [35]

When light moves from one medium to another, it is refracted. If it moves from a medium with refractive index n1 to one with refractive index n2, with an incidence angle to the surface normal of θ1, the refraction angle θ2 can be calculated from Snell's law.

The Snell's law states that the ratio of the sines of the angles of incidence and refraction of a wave (in this case beam/light) are constant when it passes between two given media.

$n_1\sin\theta_1=n_2\sin\theta_2$

Given that a <span>laser travels from glass to water at an angle of 35° with the normal, </span> $\theta_1$ <span>. If water has an index of refraction of 1.33 and glass has an index of refraction of 1.52, then we have:

</span> $1.52\sin35^o=1.33\sin\theta_2 \\ \\ \Rightarrow\sin\theta_2= \frac{1.52\sin35^o}{1.33} =0.6555\therefore\theta_2=\sin^{-1}0.6555\approx41^o$ <span>
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2 years ago

Find the sum of the convergent series 7 0.7 0.007

mafiozo [28]

$7+0.7+0.007+\cdots=7\left(1+\dfrac1{10}+\dfrac1{100}+\cdots\right)$

Let $S_n$ denote the $n$ th partial sum of the series, i.e.

$S_n=1+\dfrac1{10}+\dfrac1{100}+\cdots+\dfrac1{100^n}$

Then

$\dfrac1{10}S_n=\dfrac1{10}+\dfrac1{100}+\dfrac1{1000}+\dfrac1{10^{n+1}}$

and subtracting from $S_n$ we get

$S_n-\dfrac1{10}S_n=\dfrac9{10}S_n=1-\dfrac1{10^{n+1}}$
$\implies S_n=\dfrac{10}9\left(1-\dfrac1{10^{n+1}}\right)$

As $n\to\infty$ , the exponential term vanishes, leaving us with

$\displaystyle\lim_{n\to\infty}S_n=\dfrac{10}9$

and so

$7+0.7+0.007+\cdots=7.777\ldots=\dfrac{70}9$

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2 years ago

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denis-greek [22]

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3 years ago

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Ok so the lines with two triangles are parralel to eachother. The lines with one are parallel to eachother.

The angle of 109° and angle of z° equal eachother. Z=109°

Since 109°, 33° and y° form a triangle, the sum of the angles will equal 180. Add 109 and 33 to get 142. Subtract 142 from 180 to get y°=38°.

Since z=109, this means that the triangle is congruent with the other. Since the congruent triangles are in a rhombus, then the angles are flipped. Thus, angle x =33°.

z=109°
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3 years ago