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2 years ago

Suppose the second hand on a clock is 3 inches long. Find the linear velocity of the tip of the second hand.

Mathematics

1 answer:

Eduardwww [97]2 years ago

6 0

Answer:

π/10 in/s ≈ 0.314 in/s

Step-by-step explanation:

The circumference of the circle it traverses is given by the formula ...

C = 2πr

Substituting the given radius, we find the distance traveled in 60 seconds to be ...

C = 2π(3 in) = 6π in

Then the linear speed is ...

speed = distance/time = (6π in)/(60 s) = π/10 in/s

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Martin starts at 300 and counts by fives to 420. What are the last 6 numbers Martin will say?

Neko [114]

The last six numbers are:
390, 395, 400, 405, 410, 415
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3 years ago

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The sum of three consecutive integers is 141. What is the smallest integer?

Sonja [21]

Answer:

The Consecutive number are 46 , 47 and 48 having sum as 141

The smallest number is 46

Step-by-step explanation:

• A consecutive numbers means number are in a sequence and are one after the another !

e.g. n , (n+1). Or 1 , 2 are consecutive numbers

• A consecutive even numbers differ by 2 because all even numbers are divisible by 2 !

• If the number is divisible by x we must had taken number as n , ( n + x ) ,

( n + 2x )

• Let the numbers be ( n - 1 ) , n and

( n + 1 )

Given ,the sum of numbers is 141

n - 1 + n + n + 1 = 141

3n = 141

n = 141/3

n = 47

So, the numbers are

n- 1 = 47 - 1 = 46

n = 47

n + 1 = 48

And , the smallest number is 46

• Verification :-

46 + 48 + 47 = 141

Which satisfies the given condition !!

Hence , verified !!

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3 years ago

The equation y−5=-2(x−3)y-5=-2(x-3) is in point-slope form. What is this equation in slope-intercept form?

adelina 88 [10]

The answer is y=-2x+11

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3 years ago

How do you graph y-2x=2

iris [78.8K]

Turn it into y=mx+b form so it is y=2x+2 the b=2 so y intercept is (0,2) and the slope is 2, do a rise of two and a run of 1 and then connect the dots

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3 years ago

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cybil flips a coin and rolls a fair number cube at the same time. What is the probability that she will toss tails and roll a nu

IRISSAK [1]

Answer:

$\frac{1}{6}$

Step-by-step explanation:

Flipping a coin and rolling a number cube are both independent events. Independent events do not rely on the outcome of any previous events. This means that whatever you flip on the coin will have no effect on whatever you roll on the number cube and each flip of the coin or roll of the cube has the same probability as the flip or roll before.

The probability of getting tails on a coin toss is: $\frac{1}{2}$

The probability of getting a number less than 3 (so 1 or 2) on a number cube is: $\frac{1}{3}$

Since we are combining these events, we need to multiply the fractions together to get our overall probability:

$\frac{1}{2}$ * $\frac{1}{3}$ = $\frac{1}{6}$

8 0

2 years ago