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3 years ago

190 devided by 296 asap

Mathematics

1 answer:

Georgia [21]3 years ago

6 0

Answer: answer is 95/148 in fraction form annnnd the decimal is (Decimal: 0.641892)

Step-by-step explanation:

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Find the obtuse angle between the following pair of straight lines.

ioda

Given:

$y=-2$

$y=\sqrt{3}x-1$

To find:

The obtuse angle between the given pair of straight lines.

Solution:

The slope intercept form of a line is

$y=mx+b$ ...(i)

where, m is slope and b is y-intercept.

The given equations are

$y=0x-2$

$y=\sqrt{3}x-1$

On comparing these equations with (i), we get

$m_1=0$

$m_2=\sqrt{3}$

Angle between two lines whose slopes are $m_1\text{ and }m_2$ is

$\tan \theta=\left|\dfrac{m_2-m_1}{1+m_1m_2}\right|$

Putting $m_1=0$ and $m_2=\sqrt{3}$ , we get

$\tan \theta=\left|\dfrac{\sqrt{3}-0}{1+(0)(\sqrt{3})}\right|$

$\tan \theta=\left|\dfrac{\sqrt{3}}{1+0}\right|$

$\tan \theta=\pm \sqrt{3}$

Now,

$\tan \theta= \sqrt{3}$ and $\tan \theta=-\sqrt{3}$

$\tan \theta= \tan 60^\circ$ and $\tan \theta=\tan (180^\circ-60^\circ)$

$\theta= 60^\circ$ and $\theta=120^\circ$

$120>90$ , so it is an obtuse angle and $60$ , so it is an acute angle.

Therefore, the obtuse angle between the given pair of straight lines is 120°.

6 0

3 years ago

If f(x) =3x+5 and g(x) =x-1, then f[g(0) =?

Kisachek [45]

G(0)= 0-1= -1

f(-1)= 3(-1)+5= -3+5= 2

the answer to the question is 2

8 0

3 years ago

The lines below are perpendicular. If the green line has a slope of -2/3, what is the slope of the red line? Enter your answer a

11111nata11111 [884]

Let the red line be x
_2 by 3 _ x

3 0

3 years ago

Jon ran around a track that was 1/8 of a mile long. He ran around the track 24 times. How many miles did Jon run?

almond37 [142]

1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 = 8/8 so 8 laps = 1 miles.

24/8= 3... so that mean he ran 3 miles around the track, to check work:

1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 = 8/8 so 8 laps = 1 miles.
1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 = 8/8 so 8 laps = 1 miles.
1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 = 8/8 so 8 laps = 1 miles.

if you count how many 1/8 there are you'll get 24 '1/8' therefore you know your answer is correct.

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3 years ago

The graph shows the system {y=2x+1y=2x2+1 .

vitfil [10]

We have that
the system
y=2x+1
y=2x²+1

using a graph tool
see the attached figure

the
solution are the points
(0,1) and (1,3)

the answer is
 (0, 1) and (1, 3)

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3 years ago