Answer:
Options (1), (2), (3) and (4)
Step-by-step explanation:
By applying the sine and cosine rules in the given triangle,
sinθ = 
cosθ = 
cos(30°) = 
= 
= 
sin(30°) = 
= 
= 
cos(60°) =
=
=
sin(60°) = =
=
=
Options (1), (2), (3) and (4) are the correct options.
(a) * (a+1) = 420
a^2 + a = 420
a^2 + a - 420 = 0
(a+21)(a-20) = 0
a = -21 OR 20
The two integers can be -21 and -20, OR 20 and 21.
Answer:
1/4
Step-by-step explanation:
i think you would add 5+4+3 and 2+3+4 and divide them so 9/12 and that makes your probability which leaves a 3/12 chance non of them are in favour of the book
The lines y = 2x - 1 and y = -2x + 3 intersect at exactly one point which means this system has exactly one solution. so the system is consistent and independent
Answer:
40
Step-by-step explanation:
Let the numbers be 2x and 3x
Then their L.C.M. = 6x
BUT also their LCM=48
6x=48
x=48/6
x=8
So,
First number=2x=2x8=16
Second number=3x=3x8=24
The numbers are 16 and 24.
Hence required sum =(16+24)=40
So none of the options are correct
