Answer:
10.5 in
Step-by-step explanation:
Given

Required
Find length AC
The question is not detailed enough; so, I'll assume that b represents line AC.
Having said that;
We start by multiplying both sides by b



Divide both sides by tan(55)


Find tan(55)


<em>(Approximated)</em>
<em />
Length AC is 10.5
The value of x is √8/3 - 2
Step by step explanation:
The given equation is
3(x+2)^2=8
To find x,
(x+2)²= 8/3
By taking square root on both sides
x+2= √8/3
x=√8/3 -2
x= -0.37
Thus the square root for the given value is -0.37
Answer:
+120/169 or -120/169
Step-by-step explanation:
- let
![cos^{-1}[\frac{5}{13} ] = \alpha](https://tex.z-dn.net/?f=cos%5E%7B-1%7D%5B%5Cfrac%7B5%7D%7B13%7D%20%20%5D%20%3D%20%5Calpha)
where, alpha is some angle that satisfies the assumed condition.
- so,

[ taking cos to the other side or applying cos on both sides]
- now, substitute this in the given expression
as sin
= 
[by general trigonometry formula:
]
so if
, we can get sin
from the above formula as + or - 12/13
(because, after taking square root on both sides we keep + or -]
- as, sin
![2\beta = 2*sin[\beta ]*cos[\beta ]](https://tex.z-dn.net/?f=2%5Cbeta%20%20%3D%202%2Asin%5B%5Cbeta%20%5D%2Acos%5B%5Cbeta%20%5D)
[by general trigonometry formula]
- here, now
![sin[2\alpha ]=2*(+or- 12/13)*5/13\\](https://tex.z-dn.net/?f=sin%5B2%5Calpha%20%5D%3D2%2A%28%2Bor-%2012%2F13%29%2A5%2F13%5C%5C)
so, the final value can be 120/169 or -120/169.
Answer:
negative 2.5
Step-by-step explanation:
It is belove sea level, so it will be between negative 2 and negative 3 on a vertical number line.
Answer
(C) 
Explanation:
Congruence of these two angles directly implies p||q.