<span>First find the central angle A in degree.
Perimeter circle 2Pi*R --> 360 deg
Arc A = 14.13 --> x deg
(360*14.13)/2Pi*R = 5086.8/37.68 = 135 deg
The pendulum rotates 135 deg in 3 sec. Then, the angular velocity is : 135/3 = 45 deg/sec.
Hope this helps!
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6 m = 6 × 100 = 600 cm
3 ÷ 3 = 1
600 ÷ 3 = 200
3:600 ratio simplified is 1:200
Slope:3
Y intercept: (0,-2)
Answer:
630 distinct possible collections of letters could be put in the bag.
Step-by-step explanation:
Since on the refrigerator, MATHCOUNTS is spelled out with 10 magnets, one letter per magnet, and two vowels and three consonants fall off and are put away in a bag, if the Ts are indistinguishable, to determine how many distinct possible collections of letters could be put in the bag, the following calculation must be performed:
Vowels: 3
(AO, AU, OU)
Consonants: 7
3 x 7 x 6 x 5 = X
3 x 210 = X
630 = X
Therefore, 630 distinct possible collections of letters could be put in the bag.