Answer:
12
Step-by-step explanation:
-12 = -3/4x + 3
-9 = -3/4x
-9 = (-3/4) times x
-9 = (-3/4) times 12
hope this helps! :)
Sec is 1/cos so sec -120 is 1/cos -120 which is -2
Answer:
n = 13
Step-by-step explanation:
1/5(n + 3) + 4 = 3/10(2n - 2)
~Simplify both sides
1/5n + 3/5 + 4 = 3/5n - 3/5
~Combine like terms
1/5n + 23/5 = 3/5n - 3/5
~Subtract 23/5 to both sides
1/5n = 3/5n - 26/5
~Multiply 5 to both sides
n = 3n - 26
~Subtract 3n to both sides
-2n = -26
~Divide -2 to both sides
n = 13
Best of Luck!
1/√2
Step-by-step explanation:
Imagine a right-angled triangle, for e.g. Triangle ABC,
Where
B = 90°
Remember your Toa Cah Soh.
sin 45° = opposite / hypotenuse
If theta = 45°
Angles A and C = 45° (Sum of angles in a triangle equal = 180°)
Since theta are the same, we can also deduce that the length AB and BC are the same.
Take for example AB = BC = 1 = opposite
By the Pythagorean theorem,
AB² + BC² = AC²
1² + 1² = AC²
2 = AC²
AC = √2 = hypotenuse
Therefore:
sin 45° = opposite / hypotenuse
sin 45° = 1/√2
Answer:
8 boxes
Step-by-step explanation:
x*12=96
x*12/12=96/12
x=8
