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Shalnov [3]
2 years ago
11

The value of 30 is between which two integers

Mathematics
1 answer:
Sveta_85 [38]2 years ago
5 0
<h2>Answer:</h2>

5 < \sqrt{30} < 6

<h2>Step-by-step explanation:</h2>

Locate\ \sqrt{30}\ between\ two\ integers:\\ \downarrow\\ 5 < \sqrt{30} < 6

<em>I hope this helps you</em>

<em>:)</em>

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1. Solve for x. Then find the angle measures of the<br>triangle?<br>(4x)<br>(6x+55)<br>(9x+30)​
nalin [4]

Answer:

x =  5.

First angle = 20°,  Second angle = 85°,  Third angle  = 75°

Step-by-step explanation:

The first angle of the triangle  =  (4 x)

The second  angle of the triangle  =  (6x + 55)

The third angle of the triangle  =  (9x + 30)

By ANGLE SUM PROPERTY of a triangle:

First angle + Second  angle +  Third angle  = 180°

⇒ (4 x)  + (6x+55)   +  (9x+30)​  = 180°

or, (4x + 6x + 9x) + ( 55 + 30) =  180°

or, 19x = 180 - 85

or, 19 x  = 95   ⇒ x = 95 /19 = 5

or, x = 5

Hence, first angle of the triangle =  (4 x) = 4 x 5 = 20°

Second angle = ( 6x + 30)  = 6(5) + 55 = 85°

Third angle = (9x  + 30  = 9(5) + 30 = 75°

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3 years ago
Which equation represents a parabola that has a focus of (0 0) and a directrix of y = 2
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The answer is 3 because z to the y a-1
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Write Ef as the sum of unit vectors E(-5,-2,4) and F(6,-6,6).
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Step-by-step explanation:

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In 10 seconds, Lauren counts 5 vehicles passing by her house. At that rate, how many vehicles would pass by in one hour?
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Walter invests $100,000 in an account that compounds interest continuously and earns 12%. How long will it take for his money to
prohojiy [21]

Answer:

300000= 100000 e^{0.12 t}

We divide both sides by 100000 and we got:

3 = e^{0.12 t}

Now we can apply natural logs on both sides;

ln(3) = 0.12 t

And then the value of t would be:

t = \frac{ln(3)}{0.12}= 9.16 years

And rounded to the nearest tenth would be 9.2 years.

Step-by-step explanation:

For this case since we know that the interest is compounded continuously, then we can use the following formula:

A =P e^{rt}

Where A is the future value, P the present value , r the rate of interest in fraction and t the number of years.

For this case we know that P = 100000 and r =0.12 we want to triplicate this amount and that means A= 300000 and we want to find the value for t.

300000= 100000 e^{0.12 t}

We divide both sides by 100000 and we got:

3 = e^{0.12 t}

Now we can apply natural logs on both sides;

ln(3) = 0.12 t

And then the value of t would be:

t = \frac{ln(3)}{0.12}= 9.16 years

And rounded to the nearest tenth would be 9.2 years.

5 0
3 years ago
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