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06.05.2021

the circumference of a circular patio is 53.38 Ft what is the area of the patio use 3.14 for an approximation for pi

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09.07.2023, solved by verified expert

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Mathematics

the circumference of a circular patio is 53.38 Ft what is the area of the patio use 3.14 for an approximation for pi

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P Answered by Master

$\textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=53.38 \end{cases}\implies 53.38=2\pi r\implies \cfrac{53.38}{2\pi }=r\implies \cfrac{26.69}{\pi }=r \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2~\hspace{6em}A=\pi \left( \cfrac{26.69}{\pi } \right)^2\implies A=\cfrac{26.69^2}{\pi }\implies \stackrel{using~\pi =3.14}{A\approx 226.87}$

Mathematics

An ice cream shop offers 5 different flavors of ice cream and 9 different toppings. How many choices are possible for a single serving of ice cream with one topping?

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P Answered by PhD

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45

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The answer is in the image

The answer is in the image

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P Answered by PhD

The answer is in the image

The answer is in the image

Mathematics

A new school randomly assigns a six-character student code to every prospective student. The school uses the characters 1, 2, 3, 4, 5, X, Y, and Z. If none of the student codes contain a repeated character, what is the total number of codes that can be randomly assigned?

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P Answered by PhD

The total nom of code that can be used is equal to 5+3 = 8

Mathematics

In a parking lot, for every 8 cars there are 7 trucks. What is the ratio of cars to trucks? A)7 : 8 B)8 : 7 C)8 : 15 D)15 : 8

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P Answered by PhD

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

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If a salesperson makes 6% commission, how much would they make from a $1,800 sale?

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P Answered by PhD

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

Mathematics

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P Answered by PhD

The solution is given in the image below

The solution is given in the image below

Mathematics

David is building wooden picture frames. Each frame requires 3/4 feet of wood. If David started with 12 feet of wood and now has 6 feet of wood remaining, how many pictures frames has he built?

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P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics

Mateo puts 6 gallons of gas into his car and pays 15$ what is the cost of 7 gallon of gas

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P Answered by PhD

Cost of 6 gallons =$15

Cost of 1 gallon =15/6

=$2.5

Cost of 7 gallons=$2.5 * 7

=$17.5

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