Hello from MrBillDoesMath!
Answer: 5n - 2
where "n" is the number mentioned in the problem statement
Thank you,
MrB
Answer:
Step-by-step explanation:
4*3^x+1=27+(3^2)^x
(3^2)^x=(3^x)^2
3^x=t
4t+1=27+t^2
t^2-4t+27-1=0
t^2-4t+26=0
delta=4^2-4*1*26=16-84=-68<0
the equation has not real solutions
Step-by-step explanation:
sec(x) = 1/cos(x)
cot(x) = cos(x)/sin(x)
sec is smaller than cot, if cos is negative (making sec negative) and sin is negative (making cot positive).
and that is true for the third quadrant.
which is pi < x < 3×pi/2
so, the third answer is right.
Answer:
False
sin (y) / cos (y) = cos (y)
cos (y) could be any value from -1 to 1.
Step-by-step explanation:
Answer:
CD ≈ 26.0 cm
Step-by-step explanation:
using the sine ratio in right triangle ABD
sin35° = 
= 
= 
( multiply both sides by BD )
BD × sin35° = 12 ( divide both sides by sin35° )
BD = 
≈ 20.92 cm
using the sine rule in Δ BCD
= 
, that is
= 
( cross- multiply )
CD × sin52° = 20.92 × sin102° ( divide both sides by sin52° )
CD = 
≈ 26.0 cm ( to 3 significant figures )
