Answer:
Total number of 1 2/3 feet long pieces that will be cut=8 pieces
Step-by-step explanation:
This can be expressed as;
Total length of the board=length per piece×number of pieces
where;
Total length of board=14 1/4 feet
Length per piece=1 2/3 feet
Number of pieces=n
Replacing;
14 1/4=1 2/3×n
(57/4)=(5/3)n
n=(57/4)×(3/5)=8.55
Total number of 1 2/3 feet long pieces that will be cut=8 pieces
Answer:
39/5
Step-by-step explanation:
Answer: $1150
Step-by-step explanation:
Simple interest is calculated as:
= Principal × Rate × Time
where,
Principal = $2000
Rate = 5.75%
Time = 10
Interest = 2000 × 5.75% × 10
= 2000 × 0.0575 × 10
= 1150
The amount earned will be $1150.
The answer would be positive 5
Answer:
RADIUS
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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
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