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kumpel [21]
3 years ago
13

Find the distance traveled by the tip of the second hand of a clock in one minute if the hand is 6cm long.

Mathematics
1 answer:
gayaneshka [121]3 years ago
4 0
The circumference of a circle with radius 6 inches is 12π inches. 15 minutes is 1/4 of the circle which is 60 minutes Therefore the tip moves 1/4 of 12π = 3π inches In 25 minutes the tip moves (25/60)12π = 5π inches Yes, you can also use the formula s = rθ θ is the angle of rotation. 15 minutes is equivalent to 90 degrees or π/2 radians Therefore s = 6 inches(π/2) = 3π inches 25 minutes is equivalent to 25/60 x 360 degrees = 150 degrees = 5π/6 radians 
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6x + 11 = 21<br> Help I’m on a quiz and this question is so confusing
Westkost [7]

Answer:

Step by Step Solution

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    6*x+11-(21)=0  

Step by step solution :

STEP

1

:

Pulling out like terms

1.1     Pull out like factors :

  6x - 10  =   2 • (3x - 5)  

Equation at the end of step

1

:

STEP

2

:

Equations which are never true:

2.1      Solve :    2   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

2.2      Solve  :    3x-5 = 0  

Add  5  to both sides of the equation :  

                     3x = 5

Divide both sides of the equation by 3:

                    x = 5/3 = 1.667

One solution was found :

x = 5/3 = 1.667

3 0
3 years ago
Robert makes $951 gross income per week and keeps $762 of it after tax withholding. How many allowances has Robert claimed? For
MAXImum [283]

Answer:

Option D,four is correct

Step-by-step explanation:

The tax withholding from the gross income of $951 is the gross income itself minus the income after tax withholding i.e $189  ($951-$762)

The percentage of the withholding =189/951=20% approximately

Going by the multiple  choices provided,option with 4,189 dollars seems to the correct option as that is the exact of the tax withholding on Robert's gross income and his earnings fall in between $950 and $960

4 0
3 years ago
The pool at "splash around" is open for 14 weeks during the summer. you can swim for $6 a session, or you can buy a membership f
Ratling [72]

Let

x--------> the number of sessions

y-------> the total payment

we know that

without membership:

y=6x --------> equation 1


with membership:

y=100+4x --------> equation 2

using a graph tool------> resolve the system of equations

see the attached figure

the solution is the point (50,300)

that means

For x=50\ sessions

the cost is \$300 in both forms

so

to justify buying the membership

x > 50\ sessions

therefore

<u>the answer is</u>

x > 50\ sessions


3 0
3 years ago
Read 2 more answers
Joe owns a stock which has probability .5 of going up. This morning, he bought a ticket in a lottery game which gives him a prob
Anit [1.1K]

Answer:

The probability that Joe's stock will go up and he will win in the lottery  is 0.00005.

Step-by-step explanation:

Let the events be denoted as:

<em>X</em> = the stock goes up

<em>Y</em> = Joe wins the lottery

Given:

P (X) = 0.50

P (Y) = 0.0001

The events of the stock going up is not dependent on the the event of Joe winning the lottery.

So the events <em>X</em> and <em>Y</em> are independent of each other.

Independent events are those events that can occur together at the same time.

The joint probability of two independent events <em>A</em> and <em>B </em>is,

P(A\cap B)=P(A)\times P(B)

Compute the value of P (<em>X ∩ Y</em>) as follows:

P(X\cap Y)=P(X)\times P(Y)=0.50\times 0.0001=0.00005

Thus, the probability that Joe's stock will go up and he will win in the lottery  is 0.00005.

3 0
3 years ago
Read 2 more answers
-16 + the quotient of a<br> number and -4 is -3
alexira [117]

Answer:

76

Step-by-step explanation:

let the number be x

Then 16 + x/-4 = -3, so

x/-4 = -16-3 = -19 (add -16 on both sides)

x = -4*-19 = 76 (multiply by -4 on both sides)

6 0
2 years ago
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