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
Distributive property
this ia the answer
Answer:
The radius is equal to 6.5 feet.
Step-by-step explanation:
To solve this we need to know that circumference equals 2πr (where "r" is the radius). Therefore, we can make the following equation...
2πr = 40.82
πr = 20.41
3.14r = 20.41
r = 6.5
Now we know that the radius is equal to 6.5 feet.
Answer:
V=720ft³
Step-by-step explanation:
V=whl=4·20·9=720ft³
happy to help
Answer:
C. 248 square meters
Step-by-step explanation:
2(10 x 6) + 2(10 x 4) + 2(6 x 4)
= 120 + 80 + 48
= 248 