Answer:
x = 35°
Step-by-step explanation:
From the question given above:
cos x = sin(20 + x)
The value of x can be obtained as follow:
cos x = sin(20 + x)
Recall:
sin(A + B) = sinAcosB + cosAsinB
Therefore,
sin(20 + x) = sin20cosx + cos20sinx
cos x = sin(20 + x)
cos x = sin20cosx + cos20sinx
Collect like terms
cos x – sin20cosx = cos20sinx
cos x(1 – sin20) = cos20sinx
Divide both side by cosx
(1 – sin20) = cos20sinx / cosx
Recall:
Tan x = sinx / cosx
(1 – sin20) = cos20tanx
Divide both side by cos20
(1 – sin20) / cos20 = tanx
(1 – 0.3420) / 0.9397 = tanx
0.658 / 0.9397 = tanx
0.7 = tanx
Take the inverse of tan
x = tan¯ 0.7
x = 35°
9x - 5y = k Substitute in the x- and y-values (x = 9 and y = 8)
9 (9) - 5(8) = k Multiply
81 - 40 = k Subtract
39 = k
When k = 39, (9, 8) will be a solution to the equation.
Step-by-step explanation:
hope this help you::::::::::)
Answer:
x = 9, WX = 34
Step-by-step explanation:
Two tangent segments to a circle from the same external point are congruent, that is
WX = YX, substitute values
7x - 29 = 2x + 16 ( subtract 2x from both sides )
5x - 29 = 16 ( add 29 to both sides )
5x = 45 ( divide both sides by 5 )
x = 9
Thus
WX = 7x - 29 = 7(9) - 29 = 63 - 29 = 34
Answer:
The dejuicer will take bag of oranges to fill the entire jug
Step-by-step explanation:
Hi
We have that
Therefore as we need an entire jug, we obtain, is needed to fill it.