Answer:
1. The measure of the remaining leg is 21\sqrt{3} units
2. The angle opposite the side with length 21 units measures 30°
Step-by-step explanation:
The Pythagorean theorem tells you the remaining side length is ...
√(42² -21²) = 21√3 . . . . . matches the first statement, discounts statements 3 and 5
The angle opposite the 21-unit leg can be found from ...
angle = arcsin(21/42) = 30° . . . . . matches the second statement, discounts statement 4.
Answer:
0.06493506493
Step-by-step explanation:
Answer:
(-29)/30
Step-by-step explanation:
Simplify the following:
-(2 + 4/5) + (1 + 5/6)
Put 2 + 4/5 over the common denominator 5. 2 + 4/5 = (5×2)/5 + 4/5:
-(5×2)/5 + 4/5 + 1 + 5/6
5×2 = 10:
-(10/5 + 4/5) + 1 + 5/6
10/5 + 4/5 = (10 + 4)/5:
-(10 + 4)/5 + 1 + 5/6
10 + 4 = 14:
-14/5 + 1 + 5/6
Put (-14)/5 + 1 + 5/6 over the common denominator 30. (-14)/5 + 1 + 5/6 = (6 (-14))/30 + 30/30 + (5×5)/30:
(6 (-14))/30 + 30/30 + (5×5)/30
6 (-14) = -84:
(-84)/30 + 30/30 + (5×5)/30
5×5 = 25:
(-84)/30 + 30/30 + 25/30
-84/30 + 30/30 + 25/30 = (-84 + 30 + 25)/30:
(-84 + 30 + 25)/30
| 3 | 0
+ | 2 | 5
| 5 | 5:
(55 - 84)/30
55 - 84 = -(84 - 55):
(-(84 - 55))/30
| 7 | 14
| 8 | 4
- | 5 | 5
| 2 | 9:
Answer: (-29)/30
Answer:
Correct answer is A, 0.22 feet below the marker
