Answer:
Volume = 6 * 6 * 6 = 216 m³
SA = 36 * 6 = 216 m²
Step-by-step explanation:
Answer:
C. Subtract 30 × 26 from 832 to get 52. Then subtract 2 x 26 from 52 to get 0.
Then add the partial quotients 30 + 2 to get 32. The quotient is 32.
Step-by-step explanation:
The attached shows the use of partial quotients to create the next dividend in the long division process. Each quotient digit is multiplied by the divisor and that product is subtracted from the dividend to create the next dividend. Then the process is repeated.
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Here, the correct answer choice is the only one that has the correct quotient.
Answer:
The proof assumes that n=m=2k, which is false in general.
Step-by-step explanation:
If n is an even number, then n=2k for some integer k. In the same way, if m is an even number, then m=2j for some integer j. It is important to write two different letters, k and j, because these integers are not necessarily equal.
For example, take n=10 and m=30. Then k=5 and j=15, so they are different. The fallacy of this proof is that it assumes k=j.
A correct proof would continue like this: by the usual laws of algebra we have that n+m=2k+2j=2(k+j). Since k+j is an integer, n+m=2p for some integer p=k+j, hence n+m is even.
Answer:
4.71
Step-by-step explanation:
The radius of the circle is 3 and the angle of the sector is 60°.
The area of a sector is given as:

where α = central angle of sector
r = radius of circle
Hence, the area of the sector is:

The area of the sector is 4.71
Answer:
A system of equations can intersect at no points; this is when the lines are parallel, which means they have the same slope and different y-intercept. A system of equations can intersect at one point; this is when the lines have different slopes.
Step-by-step explanation: