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Serhud [2]
3 years ago
14

Emily measures a prize wheel at a carnival and calculates that it has an area of 3.14 square feet. What is the prize wheel's cir

cumference?
Use 3.14 for ​.
Mathematics
1 answer:
Marizza181 [45]3 years ago
5 0

The circumference of wheel is 6.28 feet.

Step-by-step explanation:

Given,

Area of prize wheel = 3.14 square feet

Area = πr²

3.14 = 3.14(r)^2

Dividing both sides by 3.14

\frac{3.14}{3.14} = \frac{3.14(r)^2}{3.14}\\1=r^2\\r^2=1\\r=1

Circumference = 2πr

Circumference of prize wheel = 2*3.14*1\\

Circumference of prize wheel = 6.28 feet

The circumference of wheel is 6.28 feet.

Keywords: area, circumference

Learn more about circumference at:

  • brainly.com/question/10387593
  • brainly.com/question/10402163

#LearnwithBrainly

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A bookshelf holds 6 different biographies and 5 different mystery novels. How many ways can one book of each type be selected?
Yuliya22 [10]

Answer:

30

Step-by-step explanation:

Each 1 biography has 5 possible mystery novels to choose from so, for each 6 books you could choose out of 5 possible mystery books and with that being said, 5 × 6 = 30

7 0
3 years ago
Tyler and Pearl went on a 20km bike ride that lasted for 3 hours. Because of steep hills or the trail, they walked for most of t
noname [10]

Answer: 1 hour


Step-by-step explanation:

Let the distance they walked be d_1 in time t_1 and the distance they walked be d_2 in time t_2 ,then

Walking speed=\frac{d_1}{t_1}=4

\\\Rightarrow\ d_1=4t_1

Riding speed=\frac{d_2}{t_2}=12

\\\Rightarrow\ d_2=12t_1

Also the total time taken=3 hours

∴t_1+t_2=3\\\Rightarrow\ t_2=3-t_1...(1)

Since the total distance= 20 km

∴d_1+d_2=20\\\Rightarrow4t_1+12t_2=20\\\Rightarrow4t_1+12(3-t_1)=20..............[\text{from (1)}]\\\Rightarrow4t_1+36-12t_1=20\\\Rightarrow-8t_1=-8\\\Rightarrow\ t_1=1

Thus, the they spent 1 hour time in walking.

7 0
3 years ago
What is the slope of the line
Alexandra [31]

Answer:

The slope is 7/7 or 1.

Step-by-step explanation:

Find any two points on the line. I chose (0,7) and (-7,0).

Put rise over run.

7-0

———

0 – -7

this would equal 7/7 which simplifies to 1.

Hope this helped!

7 0
3 years ago
A dice is rolled 2 times. What is the probability of showing a 5 on every roll Round to 4 decimal places
AlexFokin [52]

Answer:

0.0278

Step-by-step explanation:

(1/6)(1/6) = 1/36 = 0.0278

3 0
3 years ago
If an investment of $3000 grows to $4432.37 in eight years with interest compounded annually , what is the interest rate?
melamori03 [73]
\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\to &\$4432.37\\
P=\textit{original amount deposited}\to &\$3000\\
r=rate\to r\%\to \frac{r}{100}\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
t=years\to &8
\end{cases}

\bf 4432.37=3000\left(1+\frac{r}{1}\right)^{1\cdot 8}\implies \cfrac{4432.37}{3000}=(1+r)^8
\\\\\\
\sqrt[8]{\cfrac{4432.37}{3000}}=1+r\implies \sqrt[8]{\cfrac{4432.37}{3000}}-1=r
\\\\\\
0.0500001086\approx r\qquad\qquad\cfrac{r\%}{100}\approx 0.0500001086
\\\\\\
r\%\approx 100\cdot 0.0500001086\implies r=\stackrel{\%}{5}
6 0
3 years ago
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