Answer: 12 cm
Step-by-step explanation:
The masses of the spheres are proportional to their volums, and the cube of the ratio is k^3=135/5=27 ==> k=3
The greater radius is 3*4=12 (cm)
Answer: rhombus
Step-by-step explanation:
By inspection, we can tell that there are no right angles, so we can determine it is not a square or a rectangle.
From the options, it is implied that it is a parallelogram, so to determine if it is a rhombus, we can determine if there is a pair of consecutive congruent sides.
By the distance formula,
As AB=BC, there is indeed a pair of consecutive congruent sides, and thus the most specific classification is a <em>rhombus</em>
Answer:
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The set of integers consists (0), the positive natural numbers (1,2,3,) also called whole numbers, and their additive inverses the negative integers(-1, -2, -3,).
9514 1404 393
Answer:
- 69
- 100
- -24
- 1/729
Step-by-step explanation:
Put the numbers where the variables are and do the arithmetic. Your calculator can help.
1. 6x -2y +5y = 6(10) -2(3) +5(3) = 60 -6 +15 = 69
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2. add 16 to find x.
x -16 = 29
x = 45
Then do the substitution:
2(45 +5) = 2(50) = 100
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3. 3(4²) -4(18) = 3(16) -4(18) = 48 -72 = -24
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4. (1/9)³ = (1/9)(1/9)(1/9) = 1/(9·9·9) = 1/729
