Answer:
x ≈ 8.9
Step-by-step explanation:
Given a tangent and a secant from an external point to the circle, the the square of the tangent is equal to the product of the external part of the secant and the entire secant, that is
x² = 8(8 + 2) = 8 × 10 = 80 ( take the square root of both sides )
x = 
≈ 8.9 ( to the nearest tenth )
Answer:
20 in³
Step-by-step explanation:
Volume of 300 pages:
10 × 8 × 3/4
When the no. of pages change, only the thickness of the book changes:
Volume = 10 × 8 × ¼
= 20 in³
Answer: 24m-28
Step-by-step explanation:
According to the distributive property ,
, where a, b and c are any arbitrary expressions.
Given expression : 
By using distributive property , we have
![(6m - 7)\cdot 4= (6m)(4)-(7)(4)\\\\= (6)(4)(m)-28 \ \ \ [\text{By associative property}]\\\\=24m-28](https://tex.z-dn.net/?f=%286m%20-%207%29%5Ccdot%204%3D%20%286m%29%284%29-%287%29%284%29%5C%5C%5C%5C%3D%20%286%29%284%29%28m%29-28%20%5C%20%5C%20%5C%20%5B%5Ctext%7BBy%20associative%20property%7D%5D%5C%5C%5C%5C%3D24m-28)
Hence, the required equivalent expression is 24m-28.
Answer:
1.649 approximately 2
Step-by-step explanation:
S.d = standard deviation = 0.5
Time taken = lead time = 2 weeks
Mean = demand for week = 5 boxes
We are required to find the safety stock to maintain at 99% service level.
At 99% level, the Z value is equal to 2.326.
Therefore,
Safety stock = z × s.d × √Lt
= 2.326 × 0.5 x √2
= 1.649
Which is approximately 2.
Convert to a mixed number:
239/42
Divide 239 by 42:
4 | 2 | 2 | 3 | 9
42 goes into 239 at most 5 times:
| | | | 5
4 | 2 | 2 | 3 | 9
| - | 2 | 1 | 0
| | | 2 | 9
Read off the results. The quotient is the number at the top and the remainder is the number at the bottom:
| | | | 5 | (quotient)
4 | 2 | 2 | 3 | 9 |
| - | 2 | 1 | 0 |
| | | 2 | 9 | (remainder)
The quotient of 239/42 is 5 with remainder 29, so:
Answer: 5 29/42
