Answer is C. 8, 3, 6
To answer this, you must know the Triangle Inequality Theorem.
The two shortest sides when added together, must be greater than the longest side.
A. 2 + 4= 6 which can't work since it equals the longest side of 6
B. 4 +2=6 The sum would be less than 8, which doesn't work
C. 6 +3 = 9 the sum is greater than 8, which makes it a triangle
D. 3 +8 = 11 11 is less than 12
Answer:
7 inches
Step-by-step explanation:
First you have to find the average height of each class.
4th Grade:
56, 47, 54, 51, 53, 58, 48, 54, 46, 53
Then you have add it all up and divide it by how many students there are.
56 + 47 + 54 + 51 + 53 + 58 + 48 + 54 + 46 + 53 = 520
520 ➗10= 52
Same process for the 7th Grade.
You end up getting 52 and 59. You then Subtract it to get the answer to the question.
52 - 59= 7 inches
Answer:
4+8=12
Step-by-step explanation:
Answer:
After increasing their employees by 18% they will now have 531 total employees.
Step-by-step explanation:
0.18 x 450 = 81
81 + 450 = 531
Answer:
20-(10 2/9)-(5 1/4)= 4.52777777778 inches decimal or 163/36
Step-by-step explanation:
Simplify the following:
20 - (10 + 2/9) - (5 + 1/4)
Put 10 + 2/9 over the common denominator 9. 10 + 2/9 = (9×10)/9 + 2/9:
20 - (9×10)/9 + 2/9 - (5 + 1/4)
9×10 = 90:
20 - (90/9 + 2/9) - (5 + 1/4)
90/9 + 2/9 = (90 + 2)/9:
20 - (90 + 2)/9 - (5 + 1/4)
90 + 2 = 92:
20 - 92/9 - (5 + 1/4)
Put 5 + 1/4 over the common denominator 4. 5 + 1/4 = (4×5)/4 + 1/4:
20 - 92/9 - (4×5)/4 + 1/4
4×5 = 20:
20 - 92/9 - (20/4 + 1/4)
20/4 + 1/4 = (20 + 1)/4:
20 - 92/9 - (20 + 1)/4
20 + 1 = 21:
20 - 92/9 - 21/4
Put 20 - 92/9 - 21/4 over the common denominator 36. 20 - 92/9 - 21/4 = (36×20)/36 + (4 (-92))/36 + (9 (-21))/36:
(36×20)/36 + (4 (-92))/36 + (9 (-21))/36
| 3 | 6
× | 2 | 0
| 0 | 0
7 | 2 | 0
7 | 2 | 0:
720/36 + (4 (-92))/36 + (9 (-21))/36
4 (-92) = -368:
720/36 + (-368)/36 + (9 (-21))/36
9 (-21) = -189:
720/36 - 368/36 + (-189)/36
720/36 - 368/36 - 189/36 = (720 - 368 - 189)/36:
(720 - 368 - 189)/36
720 - 368 - 189 = 720 - (368 + 189):
(720 - (368 + 189))/36
| 1 | 1 |
| 3 | 6 | 8
+ | 1 | 8 | 9
| 5 | 5 | 7:
(720 - 557)/36
| | 11 |
| 6 | 1 | 10
| 7 | 2 | 0
- | 5 | 5 | 7
| 1 | 6 | 3:
Answer: 163/36
