Answer:
x° = 37.13°
Step-by-step explanation:
13.4 = cathetus opposite the angle "x°"
22.4 = hypotenuse
Hope this helps
Answer:
$778.46 is the bi-weekly net pay
Step-by-step explanation:
Net pay is the gross pay minus taxes
Net pay = gross pay - gross pay * tax rate
Simplifying this equation by factoring out gross pay
Net pay = gross pay (1- tax rate)
Substituting this in
Net pay = gross pay (1- tax rate)
We know the
hours worked = 23000
tax rate = .12
Net pay = 23000 (1- .12)
Net pay = 23000 (.88)
Net pay = 20240
But this is per year, and we want it bi weekly
There are 52 weeks in a year, divide by 2 (bi weekly)= 26
So divide 20240 by 26, so you get paid every 2 weeks.
$20240/26 = 778.46 (we round to the nearest cent)
Answer:
The length of EF is 5.29
Step-by-step explanation:
If BC = 12 then;
FB = 12 × sin65 = 10.876
BA = FB/(sin50) = 10.876/(sin50) = 14.2
BD = AB (Sides of isosceles triangle) = 14.2
∴ DF = BD + FB = 10.876 + 14.2 = 25.07
∠F C D = tan⁻¹(D F/F C) = tan⁻¹(25.07/(12×cos65)) = 78.6
∠F A D = tan⁻¹(D F/A F) = tan⁻¹(25.07/(14.2×cos50)) = 70
∴ ∠D = 180 - (78.6° + 70°) = 31.4°
AE = AD × sin31.4° = 2×AB×cos(70° - 50°) × sin31.4
∴ AE = 2×14.2×cos(20°) × sin31.4 = 13.92
EC = AC × cos78.6° = (AB×cos50 + BC×cos65)×cos78.6° = 2.815
Therefore, from cosine rule, a² = b² + c² - 2·b·c × cos(A)
Hence, we have;
EF² = EC² + FC² - 2 × EC × FC ×cos∠FCD (Cosine rule)
That is, EF² = 2.815² + (12×cos65)² - 2 × 2.815× (12×cos65) ×cos78.6°
EF² = 27.98
∴EF = √27.98 = 5.29.
27 year-old in the year of 2017
The answer is B...............
