The circumference of a quarter is approximately 7.536 cm.
A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
The circumference of a circle is given by the formula:
C = πd
where C is the circumference, d is the diameter, and π (pi) is a mathematical constant approximately equal to 3.14.
Substituting the given diameter of a quarter, which is 2.4 cm, into the formula:
C = πd
C = π(2.4 cm)
C = 7.536 cm
Therefore, the circumference of a quarter is approximately 7.536 cm.
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Answer:
0.71428571428
Answer:
0.714285 dec. form
5/7 exact form
Step-by-step explanation:
How much does it cost to make 3 widgets?
Answer:
The total cost to make 3 widgets is $64.
Step-by-step explanation:
As cost is give by quadratic function such as
As it costs $29 to produce 2 widgets. So,
As it costs $115 to produce 4 widgets. So,
As it costs $757 to produce 10 widgets. So,
In order to find the values of a, b, c and d, we have to equations [A], [B] and [C]
Subtracting Equation [A] from [B] and [B] from [C]
12a + 2b = 86 ........[D]
84a + 6b = 642 ........[E]
Multiplying Equation [D] by 3 and subtracting from [E]
84a + 6b + 3(12a + 2b) = 642 - 86
48a = 384
a = 8
Putting value of a = 8 in equation [D]
12(8) + 2b = 86
96 + 2b = 86
2b = -10
b = -5
Substituting the value of a = 8 and b = -5 in Equation [A].
29= 4a+2b+d
29 = 4(8) + 2(-5) + d
29 = 32 - 10 + d
d = 29 + 10 - 32
d = 7
The required form of equation can be obtained by substituting a = 8, b = -5 and d = 7 in the cost equation. So,
is the required form of equation.
Therefore, the total cost to make 3 widgets will be:
Putting x = 3 in
Hence, the total cost to make 3 widgets is $64.
Keywords: quadratic equation, cost
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Answer:
m=3
Step-by-step explanation:
m= 8-(5)/2-(1)
b.write the equation in slope intercept form.
c.what is the setup fee?
The setup fee for the cable service can be found by creating an equation using the given point and solving for the y-intercept. This y-intercept, in this context, represents the setup fee.
Firstly, we understand that the cost per month for the premium cable is $39.95. Considering this cost as a rate, we can say that the total monthly cost can be calculated by multiplying the number of months with the rate per month. The setup fee is a fixed cost, and thus it doesn't change with the number of months.
To find this setup fee, we need to find the y-intercept. In this situation, the y-intercept, denoted usually as b in the slope-intercept form equation y = mx + b, is the setup fee.
So let's solve it step-by-step:
So, the setup fee is found out by subtracting from the total cost of 6 months, the cost of the cable service for these 6 months.
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