5π/12 = (5 · 180°) : 12 = 75°
cos 75° = cos ( 45° + 30° )= cos 45° cos 30° - sin 45° sin 30° =
=√2/2 * √3/2 - √2/2 * 1/2 =

=(2.4495 - 1.4142): 4 = 0.258825
Answer:
14) 4x+10=8x-26 (corresponding angles are equal)
4x-8x=-26-10
-4x=-36
x= -36/-4= 9
x=9
15) perimeter of rectangle= 2(l+b)
2( l+
) = 40m
2l+
=40
Take LCM as 3
*
+
=40
= 40
= 40
10l=40*3
10l = 120
l= 120/10 =12 cm
l=12cm
b= 2/3 *12 = 8cm
16) 2:3:4
It can be written as 2x+3x+4x
sum of angles of a triangle =180 degree
so 2x+3x+4x=180
9x=180
x=180/9=20 degree
1st angle=2x=2*20= 40 degree
2nd angle= 3x=3*20 =60 degree
3rd angle= 4x=4*20= 80 degree
17) sum of interior angles of a pentagon is 540 degree
so, 125+88+128+60+x=540 degree
401 +x= 540 degree
x=540-401= 139 degree
<em>Hope this helps</em>
<em>Please mark me as brainliest</em>
145 because I added them and I did the correct answer
Answer:
the highest common factor of the polynomial is (x + 2) (x - 3)
Step-by-step explanation:
The computation of the highest common factor of the polynomial is as follows:
According to the question, the following equation is given
'
Now do the factorization

x(x - 3) +2 (x - 3)
(x + 2) (x - 3)
hence, the highest common factor of the polynomial is (x + 2) (x - 3)
The same is to be considered
Answer:
12.)-5
13.)-16
14)-20
15)6
16)-13
17)1
18)-13
19)15
20)-10
Step-by-step explanation:
12.)-x=2+3
x=5/-1
so,x=-5
13.)-4=(-2×8+x)/8
-4×8=-16+x
-32+16=x
so,x=-16
14)(7×4+m)/4=2
28+m=8
so,m=-20
15)4n=34-10
n=24/4
so,n=6
16)-2a=22+4
a=26/-2
so,a=-13
17)a+3=2×2
a=4-3
so,a=1
18)-133+3=10x
-130=10x
so,x=-13
19)4+1=v/3
5*3=v
so,v=15
20)1=3+r/5
now,
Take LCM,
We get,
1=(3*5+r*1)/5
now,
by moving 5 into LHS
We get,
1*5=15+r
5=15+r
by moving 15 into left hand side,
We get ,
5-15=r
so,r=-10 because when we subtract smaller from bigger we have to take the sign of bigger.