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2 years ago

How many seconds is 5.368 rounded to the nearest tenth of a second

1 answer:

8 0

5.4

5,6,7,8,9 round up
0,1,2,3,4 round down

the tenth is the place right after the decimal, you use the number right after that number to determine what you round to

You might be interested in

Two friends share 7 cookies equally .How many cookies does each friend get

algol13

Answer:

they would get 3 1/2

Step-by-step explanation:

because if there's two friends and seven cookies one friend we get three and the other one will get three and they could split the other cookie in half so that each Friend can have three cookies and a half if they split

7 0

3 years ago

A circle has the order pairs (-1, 2) (0, 1) (-2, -1) what is the equation . Show your work.

olga55 [171]

We know that:

$(x-a)^2+(y-b)^2=r^2$

is an equation of a circle.

When we substitute x and y (from the pairs we have), we'll get a system of equations:

$\begin{cases}(-1-a)^2+(2-b)^2=r^2\\(0-a)^2+(1-b)^2=r^2\\(-2-a)^2+(-1-b)^2=r^2\end{cases}$

and all we have to do is solve it for a, b and r.

There will be:

$\begin{cases}(-1-a)^2+(2-b)^2=r^2\\(0-a)^2+(1-b)^2=r^2\\(-2-a)^2+(-1-b)^2=r^2\end{cases}\\\\\\
\begin{cases}1+2a+a^2+4-4b+b^2=r^2\\a^2+1-2b+b^2=r^2\\4+4a+a^2+1+2b+b^2=r^2\end{cases}\\\\\\
\begin{cases}a^2+b^2+2a-4b+5=r^2\\a^2+b^2-2b+1=r^2\\a^2+b^2+4a+2b+5=r^2\end{cases}\\\\\\
$

From equations (II) and (III) we have:

$\begin{cases}a^2+b^2-2b+1=r^2\\a^2+b^2+4a+2b+5=r^2\end{cases}\\--------------(-)\\\\a^2+b^2-2b+1-a^2-b^2-4a-2b-5=r^2-r^2\\\\-4a-4b-4=0\qquad|:(-4)\\\\\boxed{-a-b-1=0}$

and from (I) and (II):

$\begin{cases}a^2+b^2+2a-4b+5=r^2\\a^2+b^2-2b+1=r^2\end{cases}\\--------------(-)\\\\a^2+b^2+2a-4b+5-a^2-b^2+2b-1=r^2-r^2\\\\2a-2b+4=0\qquad|:2\\\\\boxed{a-b+2=0}$

Now we can easly calculate a and b:

$\begin{cases}-a-b-1=0\\a-b+2=0\end{cases}\\--------(+)\\\\-a-b-1+a-b+2=0+0\\\\-2b+1=0\\\\-2b=-1\qquad|:(-2)\\\\\boxed{b=\frac{1}{2}}\\\\\\\\a-b+2=0\\\\\\a-\dfrac{1}{2}+2=0\\\\\\a+\dfrac{3}{2}=0\\\\\\\boxed{a=-\frac{3}{2}}$

Finally we calculate $r^2$ :

$a^2+b^2-2b+1=r^2\\\\\\\left(-\dfrac{3}{2}\right)^2+\left(\dfrac{1}{2}\right)^2-2\cdot\dfrac{1}{2}+1=r^2\\\\\\\dfrac{9}{4}+\dfrac{1}{4}-1+1=r^2\\\\\\\dfrac{10}{4}=r^2\\\\\\\boxed{r^2=\frac{5}{2}}$

And the equation of the circle is:

$(x-a)^2+(y-b)^2=r^2\\\\\\\left(x-\left(-\dfrac{3}{2}\right)\right)^2+\left(y-\dfrac{1}{2}\right)^2=\dfrac{5}{2}\\\\\\\boxed{\left(x+\dfrac{3}{2}\right)^2+\left(y-\dfrac{1}{2}\right)^2=\dfrac{5}{2}}$

7 0

3 years ago

You estimate the distance from your house to your school to be 1.6 miles. The actual distance is 1.9 miles. Find the percent err

Bezzdna [24]

To find percent error you use the following formula:
$% Error = \frac{final value - given value}{given value}$
% error = (1.6 - 1.9)/1.9 * 100% = 15.79%

5 0

3 years ago

Match the key features of functions terms to their corresponding definitions.

kenny6666 [7]

The key features of the above given functions are correctly matched to their corresponding definition.

<h3>Definition of terms</h3>

Negative sections of the graph: They are the parts where the graph is below the x-axis. That is option C.

End behaviour: This is what happens to the graph on the far left or far right. That is option E.

Positive sections of the graph: This is the parts where the graph is above the x-axis. That is option D.

Intercepts: This is the points where the graph crosses an axis. That is option B

Relative extrema: This is the points of relative minimum or maximum in a graph. That is option A.

Learn more about graphs here:

brainly.com/question/25799000

#SPJ1

6 0

1 year ago

A coffee table is on sale for 20% off the original price of $115. If there is 7.5% sales tax, what is the final price of the cof

alekssr [168]

Answer:

98.9

Step-by-step explanation:

115 - 20% = 92
92 + 7.5% = 98.9

7 0

2 years ago

Read 2 more answers