Answer:
y = 6√3 and x = 6
Step-by-step explanation:
this is a 30-60-90 triangle. The side opposite the 30° angle corresponds to the side of length 1 in the most basic 30-60-90 triangle; the side opp. 60° to the side of length √3; and the hyp. to the side of length 2.
To find y, write and solve an equation of ratios, as follows:
adj side adj side (adjacent to the 30° angle)
y √3
hypo hypo then (cross multiplying): 2y = 12√3, and
12 2 y = 6√3
If the hypo here is 12 and the adj side (y) is 6√3, then we can use the Pyth. Theorem to find the third side (x):
[12]² = [6√3]² - x² ↔ 144 = 36(3) - x² ↔ 36 = x². So x = 6 here.
Answer:
2.4 pounds.
Step-by-step explanation:
We have been given that Alicia paid $1.32 for a bag of pinto beans. The beans cost $0.55 per lb. We are asked to find the weight of pinto beans bag.
To find the weight of pinto beans bag, we will divide amount paid for the bean bag by per pound of beans.
\text{Weight of pinto beans bag}=\frac{1.32}{0.55}
\text{Weight of pinto beans bag}=2.4
Therefore, the weight of pinto beans bag is 2.4 pounds.
Answer:
<h3>64°</h3>
Step-by-step explanation:
y = 52° ( Opposite Angles )
y + 2x = 180° ( Interior Angles )

I think the answer might be c