I don't know if this answer is right but I think it would be 52
Answer:
ur mom
Step-by-step explanation:
there is none, it's just simply ur mom
- hope that solved ur problem :)
- Im ur dad btw
- Mac and cheese is pretty good 10/10
- DADDY
Answer:
AB = 5/4 y - 1 = 5/4 (12/13) -1 = 2/13
AC= 7/3 y - 2 = 7/3 (12/13) -2 = 2/13
Step-by-step explanation:
Because it is a equilateral triangle, it means all sides have the same length.
AB = AC
5/4 y - 1 = 7/3 y - 2
5/4 y - 7/3 y = -2 +1
-13/12 y = -1
y = 12/13
input y to the equation.
AB = 5/4 y - 1 = 5/4 (12/13) -1 = 2/13
AC= 7/3 y - 2 = 7/3 (12/13) -2 = 2/13
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Answer:
A character is offered five different jobs. They all include an hourly wage, as well as a set weekly base pay. One example is a job that pays $8.50 an hour, plus an additional $25 bonus for the week. (Weekly base pay is what you automatically get paid for working the entire week. A bonus is money you earn in addition to the weekly base pay.) Story Starter 2: A character is searching for the best cell phone plan to buy. One plan costs $25 a month, plus $0.89 per minute used. Story Starter 3: A character is trying to decide which cab to choose from the five available. All the cabs have different rates per mile. They also charge different flat rates in addition to the rates per mile. One cab is offering a rate of $0.75 per mile, plus a flat fee of $25.
Step-by-step explanation:
Given:
![y=-2](https://tex.z-dn.net/?f=y%3D-2)
![y=\sqrt{3}x-1](https://tex.z-dn.net/?f=y%3D%5Csqrt%7B3%7Dx-1)
To find:
The obtuse angle between the given pair of straight lines.
Solution:
The slope intercept form of a line is
...(i)
where, m is slope and b is y-intercept.
The given equations are
![y=0x-2](https://tex.z-dn.net/?f=y%3D0x-2)
![y=\sqrt{3}x-1](https://tex.z-dn.net/?f=y%3D%5Csqrt%7B3%7Dx-1)
On comparing these equations with (i), we get
![m_1=0](https://tex.z-dn.net/?f=m_1%3D0)
![m_2=\sqrt{3}](https://tex.z-dn.net/?f=m_2%3D%5Csqrt%7B3%7D)
Angle between two lines whose slopes are
is
![\tan \theta=\left|\dfrac{m_2-m_1}{1+m_1m_2}\right|](https://tex.z-dn.net/?f=%5Ctan%20%5Ctheta%3D%5Cleft%7C%5Cdfrac%7Bm_2-m_1%7D%7B1%2Bm_1m_2%7D%5Cright%7C)
Putting
and
, we get
![\tan \theta=\left|\dfrac{\sqrt{3}-0}{1+(0)(\sqrt{3})}\right|](https://tex.z-dn.net/?f=%5Ctan%20%5Ctheta%3D%5Cleft%7C%5Cdfrac%7B%5Csqrt%7B3%7D-0%7D%7B1%2B%280%29%28%5Csqrt%7B3%7D%29%7D%5Cright%7C)
![\tan \theta=\left|\dfrac{\sqrt{3}}{1+0}\right|](https://tex.z-dn.net/?f=%5Ctan%20%5Ctheta%3D%5Cleft%7C%5Cdfrac%7B%5Csqrt%7B3%7D%7D%7B1%2B0%7D%5Cright%7C)
![\tan \theta=\pm \sqrt{3}](https://tex.z-dn.net/?f=%5Ctan%20%5Ctheta%3D%5Cpm%20%5Csqrt%7B3%7D)
Now,
and ![\tan \theta=-\sqrt{3}](https://tex.z-dn.net/?f=%5Ctan%20%5Ctheta%3D-%5Csqrt%7B3%7D)
and ![\tan \theta=\tan (180^\circ-60^\circ)](https://tex.z-dn.net/?f=%5Ctan%20%5Ctheta%3D%5Ctan%20%28180%5E%5Ccirc-60%5E%5Ccirc%29)
and ![\theta=120^\circ](https://tex.z-dn.net/?f=%5Ctheta%3D120%5E%5Ccirc)
, so it is an obtuse angle and
, so it is an acute angle.
Therefore, the obtuse angle between the given pair of straight lines is 120°.