The answer is A they acted as a barrier to further settlement to the west. The Appalachians were the western outskirt of the states. They were an obstruction that kept them closer to the drift. The mountains stopped expansion of the colonies. To hard to go over to create new colonies
Cosx would be your answer
Answer:
Part A: 6
Part B: 6√3
Step-by-step explanation:
Part A:
Since one angle measures 30°, and another angle is a right angle measuring 90°, the third angle measures 60°.
In a 30-60-90 the short leg is half of the hypotenuse.
YX = 12/2 = 6
Part B:
Method 1:
In a 30-60-90 triangle, the length of the long leg is √3 times the length of the short leg.
YZ = 6√3
Method 2:
Use the Pythagorean theorem.
a² + b² = c²
6² + (YZ)² = 12²
(YZ)² = 108
YZ = √(108)
YZ = √(36 × 3)
YZ = 6√3
Answer:
3<x<5
Step-by-step explanation:
Answer:
18 ft^2
Step-by-step explanation:
This quadrilateral is a parallelogram.
Area = base × height
= 6 × 3
= 18 ft^2