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eimsori [14]
3 years ago
9

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.
5 0
3 years ago
The graph shows the system ​{y=2x+1y=2x2+1 .​
vitfil [10]
We have that
<span>the system
y=2x+1
y=2x</span>²<span>+1

using a graph tool
see the attached figure

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

the answer is
</span><span> (0, 1) ​ and ​ (1, 3) </span>

4 0
3 years ago
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