Check the picture below.
so if y = 2, then 2y = 4, thus
![\textit{area of a segment of a circle}\\\\A=\cfrac{r^2}{2}\left(\cfrac{\pi \theta }{180}~~ - ~~sin(\theta ) \right)~~\begin{cases}r=radius\\\theta =\stackrel{degrees}{angle}\\[-0.5em]\hrulefill\\r=4\\\theta =60\end{cases}\\\\\\A=\cfrac{4^2}{2}\left(\cfrac{\pi (60) }{180}~~ - ~~sin(60^o ) \right)\implies A=8\left( \cfrac{\pi }{3}~~ - ~~\cfrac{\sqrt{3}}{2} \right)\\\\\\A=\cfrac{8\pi }{3}~~ - ~~4\sqrt{3}\implies A\approx 1.45](https://tex.z-dn.net/?f=%5Ctextit%7Barea%20of%20a%20segment%20of%20a%20circle%7D%5C%5C%5C%5CA%3D%5Ccfrac%7Br%5E2%7D%7B2%7D%5Cleft%28%5Ccfrac%7B%5Cpi%20%5Ctheta%20%7D%7B180%7D~~%20-%20~~sin%28%5Ctheta%20%29%20%20%5Cright%29~~%5Cbegin%7Bcases%7Dr%3Dradius%5C%5C%5Ctheta%20%3D%5Cstackrel%7Bdegrees%7D%7Bangle%7D%5C%5C%5B-0.5em%5D%5Chrulefill%5C%5Cr%3D4%5C%5C%5Ctheta%20%3D60%5Cend%7Bcases%7D%5C%5C%5C%5C%5C%5CA%3D%5Ccfrac%7B4%5E2%7D%7B2%7D%5Cleft%28%5Ccfrac%7B%5Cpi%20%2860%29%20%7D%7B180%7D~~%20-%20~~sin%2860%5Eo%20%29%20%20%5Cright%29%5Cimplies%20A%3D8%5Cleft%28%20%5Ccfrac%7B%5Cpi%20%7D%7B3%7D~~%20-%20~~%5Ccfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D%20%5Cright%29%5C%5C%5C%5C%5C%5CA%3D%5Ccfrac%7B8%5Cpi%20%7D%7B3%7D~~%20-%20~~4%5Csqrt%7B3%7D%5Cimplies%20A%5Capprox%201.45)
Answer:
7048/637
Step-by-step explanation:
10 8/13 + 4 24/49
138/13 + 220/49
taking LCM
(138*49 + 220*13) / (13*49)
7048 / 637
Answer:
14
Step-by-step explanation:
aₙ = a₁ + (n-1)*d
59 = 2 + (20-1) * d
59 = 2 + 19d
19d = 59-2 = 57
d = 3
5th term: a₅ = 2 + 4 * 3 = 14
Angle BCA = 180 - 100
angle BCA = 80
Isosceles triangle ABC has two congruent angles, A and B
2x + 80 = 180
2x = 100
Angles A and B = 50 or y and z = 50
I think lines AB and DE are supposed to be parallel, so angles y and x are consecutive interior angles (supplementary)
x = 180 - 50 = 130
Answer:
12
Step-by-step explanation:
From the question, the values of x, y and z are as follows.
x=15, y=3 and z= -2
Now, we are to find the value of the expression
we substitute the values of x, y and z into the expression and simplify
Therefore, value of
