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2 years ago

Find the length of the arc intercepted by an angle of 36° in a circle with radius 12 inches

1 answer:

azamat2 years ago

8 0

Set up a pair of proportional ratios...

a/(2πr)=α/360

a=(πrα)/180, we are given that r=12 and α=36° so

a=432π/180 in

a=12π/5 in

a=2.4π in

a≈7.54 in (to nearest one-hundredth of an inch)

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Plz help...........................................................................

Wittaler [7]

¿Es esta una opción múltiple o es una pregunta explicativa? Lo siento estoy confundido.

3 0

2 years ago

Ten friends scored the following marks in their end-of-year math exam:

S_A_V [24]

Answer:

Given that

Marks of ten friends

23%, 37%, 45%, 49%, 56%, 63%, 63%, 70%, 72% and 82%

Mean = 56

Variance = 284.6

Standards deviation = 16.9

6 0

2 years ago

Amber borrows $5,000 from the bank. If she repays the loan in 5 years, the annual interest rate is 8%, compounded annually. Howe

Svetllana [295]

Answer:

The answer is (B) $1,307

Step-by-step explanation:

First you would plug the $5000, 5 Years and 8% Interest(Compound) into your Formula - A=P(1+r)t

A=5000(1+.08)5

Which the interest is $2346.64

Next you would plug $5000, 3 Years and 6.5% Interest(Compound) Into your Formula - A=P(1=r)t

A=5000(1+.065)3

Which the future value is $1039.75

Finally you would subtract $2346.64 by $1039.75 and then round the difference to the nearest dollar.

8 0

2 years ago

Nevermind, figured it out!!

antoniya [11.8K]

Great that you figured it out

8 0

3 years ago

Read 2 more answers

The lateral surface area of a cylinder is 1106 cm2. Given that the height is 11 cm, calculate the radius. Answer to the nearest

Gwar [14]

The formula for the surface area of a cylinder with radius r and height h is $2 \pi r^2 + h*2 \pi r$
since h=11, substitute into the formula to get $2 \pi r^2 + 11*2 \pi r=1106$
$2 \pi r^2 + 22 \pi r= 1106$
$\pi r^2 + 11\pi r= 553$
since the total surface area isn't given in pi units, we can set pi=3.14
$3.14r^2 + 11*3.14 r= 553$
$3.14r^2 + 34.54 r= 553$
$3.14r^2 + 34.54 r-553=0$
$314r^2 + 3454 r-55300=0$
$157r^2 + 1727 r-27650=0$
$\boxed{r\approx 9 cm}$

8 0

2 years ago