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°
<span> g = 29/2 = 14.500 is the answer </span>
Answer:
29 highest 2 lowest
Step-by-step explanation:
The formula for area of a trapezoid is
so you add up the bottom base (17) and the top base (3) to get 20.
you then take the sum of the bases (20) times the height (8) to get 160.
lastly, you take 160 ÷ 2 to get your final answer, which is 80 (: