Thickest to thinnest....
0.33m , 0.3mm, 0.275mm, 0.25mm
Answer:
B. r + l = 45; 2r + 3l = 96
39 regular; 6 long-distance
Step-by-step explanation:
There were 45 baskets, so
(1) r + l = 45
There were 96 points in the game, so
(2) 2r + 3l = 96
Solve equation (1) for l
l = 45 – r Substitute the value for l in Equation (2)
2r + 3(45 – r) = 96 Remove parentheses
2r + 135 - 3r = 96 Combine like terms
-r + 135 = 96 Subtract 135 from each side
-r = -39 Multiply each side by -1
r = 39 Substitute the value of r in Equation (1)
39 + l = 45 Subtract 39 from each side
l = 6
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Check:
(1) 39 + 6 = 45
45 = 45
(2) 2×39 + 3×6 = 96
78 + 18 = 96
96 = 96
Answer:
C. 5
Step-by-step explanation:
OXA is a 3-4-5 right triangle, so the circle radius is OA = 5.
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By the Pythagorean theorem,
AO² = OX² +AX² = 3² +4² = 9 +16 = 25
AO = √25 = 5 . . . . circle radius
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<em>Comment on Pythagorean triples</em>
The triple of integers (3, 4, 5) is the smallest triple of integers that satisfies the relation of the Pythagorean theorem. The next smallest set is (5, 12, 13). These, and a few other similar triples such as (7, 24, 25) and (8, 15, 17) are often used in algebra and geometry problems because they make the numbers work out nicely. It is worthwhile to learn to recognize these.
1) They are carnivores and hunt for food.
2) They are herbivores and eat plants.
3) Some (like the ant) make food by farming.
