Answer:
2sinθ + cosθ = 2
Step-by-step explanation:
12 cos θ - 16 sinθ = 0
=> 3 cos θ -4 sin θ = 0
=> tanθ = 3/4
let P = 3x
B = 4x
=> H= 5x
=> sinθ = P/H = 3/5
cosθ = B/H = 4/5
2sinθ + cosθ
= 2× 3/5 + 4/5
= 6/5+4/5
= 10/5
= 2
=> 2sinθ + cosθ = 2
X^3 + 10x^2 + 24x
divide by x
x(x^2 + 10x + 24)
factor it
x(x+4)(x + 6)
now solve for x
the answer is -6,0,-4
The Least Common Denominator is 70
Answer:
C. 400 miles
Step-by-step explanation:
In each hour, it travels 80 miles. (That is the meaning of "80 miles per hour.") So you can add up the distances over a period of 5 hours:
80 miles + 80 miles + 80 miles + 80 miles + 80 miles
After the first sum (80+80=160), you can see what the correct answer will be. Continuing, you find the sum to be ...
= 400 miles
___
Multiplication was invented to make repeated addition easier.
5 × 80 miles = 400 miles
_____
Strictly speaking, you are multiplying numbers with units here:
(5 h) × (80 mi/h) = 400 mi·h/h = 400 mi . . . . . . the units h/h cancel
