Answer:
C option
Step-by-step explanation:
C is the correct solution of to above equation
Step-by-step explanation:
12x-8=64
we transposed
12x=64+8
12x=72
we divide both by 12
12x/12=72/12
x= 6
See attached picture for better understanding of the problem. In the problem, the given values are the following:
hypotenuse = length of the ladder
adjacent = base of the ladder to base of the wall
Solving the angle x, we have the solution as below:
cos x = adjacent / hypotenuse
cos x = 91 / 350
x = 74.93°
The answer is 74.93°.
c. a function relates an input to an output
Answer:
see explanation
Step-by-step explanation:
Using the exact values of the trigonometric ratios
sin60° =
, cos60° = 
sin45° = cos45° = 
Using the sine ratio on the right triangle on the left
sin60° =
=
= 
Cross- multiply
2a = 4
×
= 12 ( divide both sides by 2 )
a = 6
Using the cosine ratio on the same right triangle
cos60° =
=
= 
Cross- multiply
2c = 4
( divide both sides by 2 )
c = 2
------------------------------------------------------------------------------------------
Using the sine/cosine ratios on the right triangle on the right
sin45° =
=
= 
Cross- multiply
b = 6
cos45° =
=
= 
Cross- multiply
d = 6
( divide both sides by
)
d = 6
------------------------------------------------------------------------------------------------
a = 6, b = 6
, c = 2
, d = 6