Answer:
$60
Step-by-step explanation:
1200*0.05 = $60
Answer:
a=8.06
A=29.74
B=60.26
Step-by-step explanation:
This is a right angled triangle and Pythagoras theorem is to be obeyed.
To get c, we follow the Pythagoras rule that says
Hyp² = Opp² + Adj²
c= Hypotenuse
c²= a² + b²
c² = 4² + 7²
c² = 65
c = √65 = 8.06
For angle A,
the opposing side to the angle = a = 4
The adjacent side to the angle = b = 7
Following trigonometry rule.
Tan A = opp/adj
Tan A = 4/7
A = Tan–¹(4/7)
A = 29.74°
For angle B,
Opposing side = 7
Adjacent side = 4
Tan B = 7/4
B = Tan-¹(7/4)
B = 60.26°
That's what I think but if im wrong im sorry:
0.123-0.1231,0.1232, 0.1233, 0.1234-0.124
Answer: the dwarf tree grew by 3 inches.
the semi dwarf tree grew by 6 inches.
the full size tree grew by 18 inches.
Step-by-step explanation:
Let x represent how much the semi-dwarf lemon tree grew.
Last month, a dwarf lemon tree grew half as much as a semi-dwarf lemon tree. This means that the amount by which the dwarf lemon tree grew is expressed as x/2
A full-size lemon tree grew three times as much as the semi-dwarf lemon. This means that the amount by which the full-size lemon tree grew is expressed as 3x
Together, the three trees grew 27 inches. This means that
x/2 + x + 3x = 27
Cross multiplying by 2, it becomes
x + 2x + 6x = 54
9x = 54
x = 54/9
x = 6 inches
The dwarf tree grew by 6/2 = 3 inches.
The full-size lemon tree grew by 3 × 6 = 18 inches
2cos^2 x = 1 + cos 2x
cos^2 x = 1/2(1 + cos 2x)
f(x) = 6cos^2 x - 4 sin 2x = 6(1/2(1 + cos 2x) - 4 sin 2x = 3 + 3cos 2x - 4sin 2x
