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suter [353]
2 years ago
12

This pattern follows the rule add 9. What are the next 3 terms?

Mathematics
1 answer:
Evgesh-ka [11]2 years ago
3 0

Next three terms after 27 are <u>36, 45 and 54.</u>

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What is the angular velocity of a 6–foot pendulum that takes 3 seconds to complete an arc of 14.13 feet? Use 3.14 for π
iren2701 [21]
1) Calculate the whole arc (complete circumference):


Circumference = 2π*radius


radius = 6 foot


=> Circumference = 2 * 3.14 * 6 foot = 37.68


2) Calculate the time to make a whole round, by making a proportion with the two ratios:


 ratio 1 = x / 37.68 =


ratio 2 = 3 / 14.13


ratio 1 = ratio 2 =>

   x                  3s
----------  =   -----------
37.68 ft        14.13 ft


=> x = 3 * 37.68 / 14.13 = 8 s


3) Calcuate the angular velocity as the 2π rad (which is the total angle of a circle) divided by the time.


So the angular velocity is 2π rad / 8 s = 2*3.14 foot / 8 s = 0.785 rad / s



Answer: 0.785 rad / s


3 0
3 years ago
Two boys on bicycles, 45 miles apart, began racing directly toward each other. The instant they started, a fly on the handle bar
BlackZzzverrR [31]

Complete question is: Each bicycle have speed 10 mi/h and fly flies at 21 mi/h. How far the fly flies?

Answer:

47.25 mi

Step-by-step explanation:

The relative velocity of the bicycles is 10+10 = 20 mi/h

Time in which the two bicycles meet:

t=\frac{45}{20} = 2.25 h

Distance covered by fly:

d=vt\\d=21mi/h\times 2.25h \\d=47.25 mi

3 0
3 years ago
(FASTEST AND BEST ANSWER GETS BRAINLIEST)1
Semmy [17]

Answer:

Step-by-step explanation:

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6 0
2 years ago
If 3x + 6 = 18, then x = ?
zaharov [31]

Answer:

X=4

Step-by-step explanation:

3x + 6 = 18 \\ 3x = 18 - 6 \\ 3x = 12 \\ x = 4

7 0
3 years ago
A tiger ate food that weighed 15% of its body weight. If it ate 75lb., how much does the tiger weigh?
Andru [333]
11.25 lbs, if I calculated this correctly.
6 0
3 years ago
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