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vredina [299]
3 years ago
10

Calculate the length of the circumference of a circle with a diameter of 4cm

Mathematics
1 answer:
MakcuM [25]3 years ago
6 0
Length of circumference is 2πr
2 π r and r is equal to 2 cm
I.e 12.5 cm
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The probability of drawing two nickels from a bag at random without replacement is 33/95 . The probability of drawing a nickel f
Natasha_Volkova [10]
The probability that two events occur is equal to the product of the individual events happening or occurring. For this item, we let x be the probability that is unknown such that the relationship between them may be expressed as,
                            (3/5)(x) = 33/95
The value of x from the equation is 11/19. 
7 0
3 years ago
What value of b will cause the system to have an infinite number of solutions?
irga5000 [103]

b must be equal to -6  for infinitely many solutions for system of equations y = 6x + b and -3 x+\frac{1}{2} y=-3

<u>Solution: </u>

Need to calculate value of b so that given system of equations have an infinite number of solutions

\begin{array}{l}{y=6 x+b} \\\\ {-3 x+\frac{1}{2} y=-3}\end{array}

Let us bring the equations in same form for sake of simplicity in comparison

\begin{array}{l}{y=6 x+b} \\\\ {\Rightarrow-6 x+y-b=0 \Rightarrow (1)} \\\\ {\Rightarrow-3 x+\frac{1}{2} y=-3} \\\\ {\Rightarrow -6 x+y=-6} \\\\ {\Rightarrow -6 x+y+6=0 \Rightarrow(2)}\end{array}

Now we have two equations  

\begin{array}{l}{-6 x+y-b=0\Rightarrow(1)} \\\\ {-6 x+y+6=0\Rightarrow(2)}\end{array}

Let us first see what is requirement for system of equations have an infinite number of solutions

If  a_{1} x+b_{1} y+c_{1}=0 and a_{2} x+b_{2} y+c_{2}=0 are two equation  

\Rightarrow \frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}}=\frac{c_{1}}{c_{2}} then the given system of equation has no infinitely many solutions.

In our case,

\begin{array}{l}{a_{1}=-6, \mathrm{b}_{1}=1 \text { and } c_{1}=-\mathrm{b}} \\\\ {a_{2}=-6, \mathrm{b}_{2}=1 \text { and } c_{2}=6} \\\\ {\frac{a_{1}}{a_{2}}=\frac{-6}{-6}=1} \\\\ {\frac{b_{1}}{b_{2}}=\frac{1}{1}=1} \\\\ {\frac{c_{1}}{c_{2}}=\frac{-b}{6}}\end{array}

 As for infinitely many solutions \frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}}=\frac{c_{1}}{c_{2}}

\begin{array}{l}{\Rightarrow 1=1=\frac{-b}{6}} \\\\ {\Rightarrow6=-b} \\\\ {\Rightarrow b=-6}\end{array}

Hence b must be equal to -6 for infinitely many solutions for system of equations y = 6x + b and  -3 x+\frac{1}{2} y=-3

8 0
3 years ago
What is 8,100 in scientific notation?
Rzqust [24]
8.1 I think but there's an app called, tiger something and it tells,you the answers
6 0
3 years ago
What is 3/8 x 3/8 x 3/8 written as a power
julia-pushkina [17]

Answer:

3/8^3

Step-by-step explanation:

its like 1/2 x 1/2 x1/2 its 1/2^3

or  7x7x7x7x7=7^5 its the same concept....

7 0
1 year ago
50 POINTS IF YOU ANSWER!
MatroZZZ [7]

Answer:

2 m/s

Step-by-step explanation:

60*5=300

600/300=2

5 0
3 years ago
Read 2 more answers
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