Answer:
Step-by-step explanation:
Hint: 1- 2sin²x = Cos 2x
LHS = 1 - 2Sin² (π/4 - Ф/2)
= Cos 2 *(π/4 - Ф/2)
= Cos 2*π/4 - 2*Ф/2
= Cos π/2 - Ф
= Sin Ф = RHS
If the rate continues, in nine years there will be about 300 employees
Answer:
h=13z-30+ 27/z
Step-by-step explanation:
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>
Answer: There are 13 gamblers who played exactly two games.
Step-by-step explanation:
Since we have given that
Number of gamblers played black jack, roulette and poker = 5
Number of gamblers played roulette and poker = 8
Number of gamblers played black jack and roulette = 11
Number of gamblers played only poker = 12
Number of gamblers played poker = 24
Number of gamblers who played only roulette and poker is given by

Number of gamblers who played only black jack and roulette is given by

Number of gamblers who played only poker and black jack is given by

So, the number of gamblers who played exactly two games is given by

Hence, there are 13 gamblers who played exactly two games.