Answer:
what is the step by step of 1/ cos x csc^2 x = sin x/ cot x
Step-by-step explanation:
1
.
csc
x
=
1
sin
x
2
.
cot
x
=
cos
x
sin
x
Given,
1
−
cos
x
sin
x
=
csc
x
−
cot
x
Simplify the right side.
csc
x
−
cot
x
=
1
sin
x
−
cos
x
sin
x
=
1
−
cos
x
sin
x
∴
, LS
=
RS.
If the perimeter is 98 cm, the sum of the lengths of two adjacent sides is 49 cm.
... (2x -1) + (3x +5) = 49 . . . . use the given information and relation
... 5x +4 = 49 . . . . . . . . . . . simplify
... 5x = 45 . . . . . . . . . . . . . . . subtract 4
... x = 9 . . . . . . . . . . . . . . . . . divide by 5
The left side dimension is then
... 2x -1 = 2·9 -1 = 17 . . . . cm
The top dimension is
... 3x +5 = 3·9 +5 = 32 . . . . cm
The rectangle is 17 cm by 32 cm.
How many times must he see 9 in order to cover all 72 of them ? 72/9 = 8 . He has to see 9 patients 8 times, so he has to work 3 hours 8 times. 3x8=24 hours.
Cost of hosting the tournament : $1,000
If it rains, the club will lose the investment: $ -1,000
If it is sunny, the club will collect $4,500 ; profit: 4,500 - 1000 = 3,500
chance of rain is 20%
-1,000 * 20% = -200
3,500 * 80% = 2,800
2,800 - 200 = 2,600 Choice C.
