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BigorU [14]
3 years ago
15

Mr. rameriz is buying square stones to cover his patio. The patio measures 7.5 feet by 9 deer. Each stone is 6 inches on a side.

If Mr. rameriz buys 275 stones, are there enough stones to cover the patio
Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
3 0
The first thing we must do in this case is to calculate the area of the patio.
 We have then that:
 A = (7.5) * (9) = 67.5 feet ^ 2.
 Then, we calculate the area of each stone:
 Ap = (6) * (6) = 36in ^ 2
 We make the conversion to feet:
 Ap = (36) (in ^ 2) * (1/12) ^ 2 (foot / inches) ^ 2
 Ap = 0.25 feet ^ 2
 Finally we have that the area covered by all the stones is:
 (0.25) * (275) = 68.75 feet ^ 2
 We observed that:
 68.75 feet ^ 2> 67.5 feet ^ 2
 Answer:
 there are enough stones to cover the patio
 68.75 feet ^ 2> 67.5 feet ^ 2
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Answer:

RADIUS

==================================

PROBLEM

Mary’s bicycle wheel has a circumference of 226.08 cm². What is its radius?

SOLUTION

We can solve this problem using the circumference formula in which π stands for ( 3.14 ), C stands for circumference itself and r stands for radius.

\bold{Formula \: || \: C = 2πr}Formula∣∣C=2πr

\tt{226.08 = 2(3.14) r}226.08=2(3.14)r

'Now to find the radius,Substitute 226.08 for c which is circumference in the formula.

\begin{gathered} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt{C = 2πr} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt{226.08 = 2(3.14)\red{r}} \\ \\ \: \: \: \: \: \: \: \: \large \tt{ \frac{226.08}{6.28} = \cancel\frac{6.28 \red{r}}{6.28} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{\tt\green{C = 36}}\end{gathered}

C=2πr

226.08=2(3.14)r

6.28

226.08

=

6.28

6.28r

C=36

To check:

\begin{gathered} \small\begin{array}{|c|}\hline \bold{circumference }\\ \\ \tt{C = 2πr} \\ \tt{C = 2(3.14) (36\:cm) } \\ \tt{C = 2(113.04\:cm) } \\ \underline{\tt \green{C = 226.08\:cm }} \\ \hline \end{array} \end{gathered}

circumference

C=2πr

C=2(3.14)(36cm)

C=2(113.04cm)

C=226.08cm

FINAL ANSWER

If Mary's Bicycle has a circumference of 226.08 cm then the radius is 36.

\boxed{ \tt \red{r = 36}}

r=36

==================================

#CarryOnLearning

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