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3 years ago

8

An architect is making a plan for a new circular playground. If the playground has a diameter of 64 feet how much fencing needs

to go up to keep the kids in the circle

1 answer:

drek231 [11]3 years ago

7 0

Answer:

$201\ ft$

Step-by-step explanation:

we know that

The circumference of a circle is equal to

$C=\pi D$

we have

$D=64\ ft$

substitute

$C=\pi (64)=64\pi\ ft$

assume $\pi=3.14$

$64\pi=64*3.14=200.96\ ft$

Round to the nearest whole number

$200.96=201\ ft$

You might be interested in

Part A: The decimal form of the rational number 3/40 is

Gnom [1K]

$\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\boxed{\begin{array}{c | } \\ \bf{Part \: A} & \bf \footnotesize{The \: decimal \: form \: of \: the \: rational \: number \: \dfrac{3}{40} \: is \: \gray{ \normalsize{ 0.075 }}} \\ \\ \hline \\ \bf{Part \: B}& \: \bf \footnotesize{The \: value \: of \: \dfrac{1}{ \sqrt[4]{(9)^{ - 2} } } \: is \: \normalsize 3 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \\ \\ \hline \\ { \bf Part \:C \: }& \: { \bf\footnotesize{On \: simplifying \: \: (5+3 \sqrt{7} ) + (12 - 3 \sqrt{7}) \: we \: get \: \normalsize{ 17 }. \: \: \: \: \: \: \: \: }} \\ \\ \end{array}}\end{gathered}\end{gathered}\end{gathered}\end{gathered}\end{gathered}$

$\bf \underline{Answer-} \\$

${ \bf{Part \: A \: | \: \footnotesize{The \: decimal \: form \: of \: the \: rational \: number \: \dfrac{3}{40} \: is \: \gray{ \normalsize{ 0.075 }}}}}$

${ \bf{Part \: B \: | \: \footnotesize{The \: value \: of \: \dfrac{1}{ \sqrt[4]{(9)^{ - 2} } } \: is \: \normalsize 3 }}}$

$\bf \underline{Step \:by \:step\: Explanation-} \\$

${ \sf \: \: \: \: \: : \: \: \implies\dfrac{1}{ \sqrt[4]{(9)^{ - 2} } }}$

${ \sf \: \: \: \: \: : \: \: \implies\dfrac{1}{ \sqrt[ \cancel4]{(9)^{ \cancel{ - 2}} } }}$

${ \sf \: \: \: \: \: : \: \: \implies\dfrac{1}{ \sqrt{9^{ - 1} } }}$

${ \sf \: \: \: \: \: : \: \: \implies\dfrac{1}{ {3}^{ - 1 } }}$

${ \sf \: \: \: \: \: : \: \: \implies\dfrac{1}{ \dfrac{1}{3} }}$

${ \sf \: \: \: \: \: : \: \: \implies3}$

${ \bf Part \:C \: } | \: { \bf\footnotesize{On \: simplifying \: \: (5+3 \sqrt{7} ) + (12 - 3 \sqrt{7}) \: we \: get \: \normalsize{ 17 }. }}$

${~~~\sf ~~:~~\implies (5+3 \sqrt{7} ) + (12 - 3 \sqrt{7})}$

${~~~~\sf ~:~~\implies 5+ \cancel{3 \sqrt{7}} + 12 \cancel{ - 3 \sqrt{7}}}$

${~\sf ~~~~:~~\implies 17}$

$\underline{\rule{200pt}{2.5pt}}$

8 0

3 years ago

Helppppppp pleaseeeeeeeee

Akimi4 [234]

Answer:

x = 8

Step-by-step explanation:

m<PQR = (2x + 6)°

m<RPQ = (x - 7)°

m<QRS = (5x - 17)°

<PQR and <RPQ are interior angles opposite to the exterior angle <RPQ.

Therefore,

m<PQR + m<RPQ = m<QRS (Exterior Angle Theorem of a Triangle)

Substitute in the values

2x + 6 + x - 7 = 5x - 17

Add like terms

3x - 1 = 5x - 17

Collect like terms

3x - 5x = 1 - 17

-2x = -16

-2x/-2 = -16/-2

x = 8

7 0

3 years ago

ASHA 777 [7]

Can’t see it that far

8 0

3 years ago

Read 2 more answers

Hello, could anyone please help me with my homework?

IRINA_888 [86]

Answer: See below

Step-by-step explanation:

$100\left(\frac{1}{2}\right)^{\frac{t}{214}}=20$

$\mathrm{Divide\:both\:sides\:by\:}100$

$\frac{100\left(\frac{1}{2}\right)^{\frac{t}{214}}}{100}=\frac{20}{100}$

$Simplify$

$\left(\frac{1}{2}\right)^{\frac{t}{214}}=\frac{1}{5}$

$\mathrm{If\:}f\left(x\right)=g\left(x\right)\mathrm{,\:then\:}\ln \left(f\left(x\right)\right)=\ln \left(g\left(x\right)\right)$

$\ln \left(\left(\frac{1}{2}\right)^{\frac{t}{214}}\right)=\ln \left(\frac{1}{5}\right)$

$\mathrm{Apply\:log\:rule\:}\log _a\left(x^b\right)=b\cdot \log _a\left(x\right)$

$\ln \left(\left(\frac{1}{2}\right)^{\frac{t}{214}}\right)=\frac{t}{214}\ln \left(\frac{1}{2}\right)$

$\frac{t}{214}\ln \left(\frac{1}{2}\right)=\ln \left(\frac{1}{5}\right)$

$\frac{\ln \left(\frac{1}{2}\right)t}{214}=\ln \left(\frac{1}{5}\right)$

$\mathrm{Multiply\:both\:sides\:by\:}214$

$\frac{214\ln \left(\frac{1}{2}\right)t}{214}=214\ln \left(\frac{1}{5}\right)$

$-\ln \left(2\right)t=-214\ln \left(5\right)$

$\mathrm{Divide\:both\:sides\:by\:}-\ln \left(2\right)$

$\frac{-\ln \left(2\right)t}{-\ln \left(2\right)}=\frac{-214\ln \left(5\right)}{-\ln \left(2\right)}$

$t=\frac{214\ln \left(5\right)}{\ln \left(2\right)}$ or $\mathrm{Decimal}:\quad t=496.89261\dots$

8 0

3 years ago

Read 2 more answers

Mrs. Meyer buys fruit to make a fruit salad. She buys:

Firlakuza [10]

Answer:

C. 15 1/4 pounds

Step-by-step explanation:

Since our options are in pounds, we would need to convert all our weight to pounds.

Now, by standard conversion 1 pound = 16 Ounce

3 cartons of blueberries that weigh 12 ounces each

12 Ounce=0.75 Pound
3 X 0.75 =2.25 Pounds

3 cartons of strawberries that weigh 16 ounces each

16 Ounce =1 Pound
3 X 1 =3 Pounds

4 bunches of bananas that weigh 2.5 pounds

4 X 2.5 =10 Pounds

Total Weight (In Pounds)=2.25+3+10=15.25 Pounds

This is equivalent to 15 1/4 pounds.

<u>The correct option is C.</u>

7 0

4 years ago