The fraction of marbles in the box that is green = ⁷/₍₅₊₇₊₈₎
= ⁷/₂₀
If there are 240 marbles in the box, then the number of green marbles = (240 × ⁷/₂₀) = 84 marbles
∴ 84 of the marbles in the bag are green.
Answer:
Step-by-step explanation:
What are the answer options
Answer:
t = 6 years
Step-by-step explanation:
Use the simple interest formula: i = prt, where p is the principal, r is the interest rate as a decimal fraction, and is the elapsed time, in years.
Here we want to know how long it will take for the interest alone to reach $449.40. We first solve i = prt for t, obtaining t = i/(pr).
Here, the length of time is t = ($449.40) / (0.06*$1498.00). This works out to
t = 5.9947, or approximately 6 years.
t = 6 years
Answer:
Length W+9
Width W
Step-by-step explanation:
-120° = -2π/3 radians.
Tangent is defined as Opposite/Adjacent or Sine/Cosine in a unit circle. So, if you have memorized the unit circle,
sin(-2π/3) = √3/2
cos(-2π/3) = -1/2
So, tan(-2π/3) would be:

Simplify, and you get:

And, so, tan(-2π/3) = -√3