23.09.2022

A sector with arc measure 72º has an area of 80 square feet. Determine
the radius of the circle.
A 18 ft
C 12 ft
B 20 ft
D 16ft

. 0

Step-by-step answer

09.07.2023, solved by verified expert
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A sector with arc measure 72º has an area of, №18010976, 23.09.2022 05:32

Let's find the Radius ~

A sector with arc measure 72º has an area of, №18010976, 23.09.2022 05:32

A sector with arc measure 72º has an area of, №18010976, 23.09.2022 05:32

A sector with arc measure 72º has an area of, №18010976, 23.09.2022 05:32

A sector with arc measure 72º has an area of, №18010976, 23.09.2022 05:32

A sector with arc measure 72º has an area of, №18010976, 23.09.2022 05:32

A sector with arc measure 72º has an area of, №18010976, 23.09.2022 05:32

or

A sector with arc measure 72º has an area of, №18010976, 23.09.2022 05:32

I hope you understood the whole procedure, let me know if you have doubts ~

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Faq

Mathematics
Step-by-step answer
P Answered by Master

\qquad\qquad\huge\underline{{\sf Answer}}♨

Let's find the Radius ~

\qquad \sf  \dashrightarrow \: area = \frac{ \theta}{360}  \times \pi {r}^{2}

\qquad \sf  \dashrightarrow \: 80= \frac{ 72}{360}  \times \pi {r}^{2}

\qquad \sf  \dashrightarrow \: {r}^{2}  =  \frac{80 \times 360}{72 \times \pi}

\qquad \sf  \dashrightarrow \: {r}^{2}  =  \frac{80 \times 5}{ \pi}

\qquad \sf  \dashrightarrow \: {r}^{}  =   \sqrt\frac{400}{ \pi}

\qquad \sf  \dashrightarrow \:r =  \frac{20}{ \sqrt{\pi} }

or

\qquad \sf  \dashrightarrow \:r  \approx 11.28 \: ft

I hope you understood the whole procedure, let me know if you have doubts ~

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖

Mathematics
Step-by-step answer
P Answered by PhD

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

Mathematics
Step-by-step answer
P Answered by PhD

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

Mathematics
Step-by-step answer
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
Step-by-step answer
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
Step-by-step answer
P Answered by PhD

Area of rectangle= L*b

here,

L=12.4 cm

b= 8.8 cm

A= L*b

= 12.4 * 8.8 = 109.12 cm^2

Mathematics
Step-by-step answer
P Answered by PhD

Volume of rectangular prism=length * width * height

Given,

length=3/8cm

breadth=5/8cm

height=7/8cm

therefore volume=(3/8)*(5/8)*(7/8)

                           =105/512 cm3

Mathematics
Step-by-step answer
P Answered by PhD

Cost before sale tax=$46.00

Cost after including tax=$48.76

Sale tax=$48.76-46.00

=$2.76

we know,

sale tax=((sales tax rate)/100) * cost before sale tax

2.76=((sales tax rate)/100) *46.00

sale tax rate=(2.76*100)/46

                   =276/46

                    =6%

There fore sales tax rate=6%

Mathematics
Step-by-step answer
P Answered by PhD

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