Answer:
The machine caps 900 bottles in 45 seconds
Step-by-step explanation:
15/300 is equal to 45/900
The correct answer is: "(-1, -2)" .
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Note: By examining the point of intersection of the lines of the 2 graphs show in the "image attached", we can see that the point of intersection is at: "(-1, 2"); that is: "x = -1, y = 2" .
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The radius of the cylinder's base is 8, so the volume of the cylinder is

(using the approximation of

).
The sphere has radius 6, so the volume of the sphere is

.
The volume of the shaded region is the difference between the two: 3617.28 - 904.32 = 2712.96. Rounded to the nearest integer gives an answer of 2713.
Answer:
98
Step-by-step explanation:
Express the numbers in terms of the product of their prime factors
14 = 2 × 7
49 = 7 × 7 = 7²
Choose the factors which occur most often between the 2 numbers
LCM = 2 × 7² = 2 × 49 = 98
Answer:
4
Step-by-step explanation:
AD=4+8=12=DE thus angle EAD= angle AED=90÷2=45
angle ACB=90-45=45 thus CB=AB=4