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lyudmila [28]
3 years ago
10

$893.996 rounded to the nearest cent

Mathematics
1 answer:
Fed [463]3 years ago
7 0

Answer:

$893.666 rounded to the nearest cent  is $894.00

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triangle ABC is shown in the diagram. The links of the sides are in terms of the variable n, where n >4. complete the inquali
Blababa [14]

9514 1404 393

Answer:

  m∠B < m∠A < m∠C

Step-by-step explanation:

We can work with the triangle inequality to find that the side measures form a triangle when n > 5/4. For the given value of n ≥ 4, we don't need to be concerned with whether a triangle is formed or not.

For n = 4, the side lengths are ...

  a = 2(4) = 8

  b = (4) +3 = 7

  c = 3(4) -2 = 10

The longest side is opposite the largest angle, so the ordering of angles is ...

  m∠B < m∠A < m∠C

_____

The triangle inequality requires all of these inequalities be true:

  • a+b > c   ⇒   3n+3 > 3n-2 . . . always true
  • b+c > a   ⇒   4n+1 > 2n   ⇒   n > -1/2
  • c+a > b   ⇒   5n-2 > n+3   ⇒   n > 5/4

That will be the case for n > 5/4. The attached graph shows the sides and angles keep the same order for n > 3.

5 0
3 years ago
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Given f(x) = x -2, if the domain is 5, find the range
Mrrafil [7]

Answer:

Step-by-step explanation:

I don't say u must have to mark my and as brainliest but if it has really helped u then plz don't forget to thank me.....

3 0
3 years ago
Differentiate Functions of Other Bases In Exercise, find the derivative of the function.
WARRIOR [948]

Answer:

\dfrac{dy}{dx} =\dfrac{2 x + 6}{ \log{\left (10 \right )}\left(x^{2} + 6 x\right)}

Step-by-step explanation:

given

y = \log_{10}{(x^2+6x)}

using the property of log \log_ab=\frac{log_cb}{log_ca}, and if c =e,\log_ab=\frac{ln{b}}{ln{a}}, we can rewrite our function as:

y = \dfrac{\ln{\left (x^{2} + 6 x \right )}}{\ln{\left (10 \right )}}

now we can easily differentiate:

\dfrac{dy}{dx} = \dfrac{1}{\ln{10}}\left(\dfrac{d}{dx}(\ln{(x^{2} + 6x)})\right)

\dfrac{dy}{dx} = \dfrac{1}{\ln{10}}\left(\dfrac{2x+6}{x^{2} + 6x}\right)

\dfrac{dy}{dx} =\dfrac{2 x + 6}{ \log{\left (10 \right )}\left(x^{2} + 6 x\right)}

This is our answer!

3 0
3 years ago
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Round 219.870754015 to the nearest hundred.
KatRina [158]

Answer:

200

Step-by-step explanation:

Because you are rounding to the hundreds, you look at the tens place. The tens place is a "1" and 1 is below five, so you round down to 200.

4 0
3 years ago
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What is the measure of EAB in circle F?<br> 72°<br> 92°<br> 148°<br> 200°
Arada [10]

We have been given a diagram. We are asked find the measure of arc EAB.

First of all, we will find the measure of arcs ED and CB using our given information.

We know that measure of an inscribed angle is half the measure of intercepted arc.

We can see that angle EBC is inscribed angle of arc EDC, so measure of arc EDC will be twice the measure of angle EBC.

\widehat{EDC}=2\times m\angle EBC

\widehat{EDC}=2\times 80^{\circ}

\widehat{EDC}=160^{\circ}

Similarly, we will find the measure of arc DCB.

\widehat{DCB}=2\times m\angle DEB

\widehat{DCB}=2\times 70^{\circ}

\widehat{DCB}=140^{\circ}

\widehat{ED}=\widehat{EDC}-\wdiehat{DC}

\widehat{ED}=160^{\circ}-88^{\circ}

\widehat{ED}=72^{\circ}

\widehat{ED}+\widehat{DCB}+\widehat{EAB}=360^{\circ}

72^{\circ}+140^{\circ}+\widehat{EAB}=360^{\circ}

212^{\circ}+\widehat{EAB}=360^{\circ}

\widehat{EAB}=360^{\circ}-212^{\circ}

\widehat{EAB}=148^{\circ}

Therefore, the measure of arc EAB is 148 degrees and option C is the correct choice.

8 0
3 years ago
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