$Area \ of \ circle = \pi r^2\\\\Area \ of \ sector = \pi r^2 \frac{ \theta}{360}\\\\Ratio \ of \ sector \ to \ circle = \frac{1}{3}\\\\That is, \\\frac{1}{3} = \frac{\pi r^2 \frac{\theta}{360}} {\pi r^2}\\\\\\\frac{1}{3} = \frac{\theta}{360} \\\\\frac{360}{3} = \theta\\\\120 = \theta$

4 0

3 years ago

After mixing two types of candies, the price became $3.40 per lb. The quantity of the first type of candy was 5/12 of the quanti

drek231 [11]

Answer:

$2.90

Step-by-step explanation:

The quantity of the 1st type of candy be x lb and that of the second type − y lb with the price of $ p/lb.

Then, x=5y/12 or y=2.4x.

The "total price" equation will be: 4.6x + 2.4xp = 3.4(x+2.4x).

Solving for p, we get p = $2.90.

5 0

3 years ago

Rachel can buy 18 eggs for $1.49 or 12 eggs for $1.09. Which is the better buy?

Mnenie [13.5K]

<span> 1.09/12=0.091 18 eggs is a better buy</span>

3 0

4 years ago