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3 years ago

If the circumference of a circle measures 3/2pi cm, what is the area of the circle in terms of pi

Mathematics

1 answer:

nasty-shy [4]3 years ago

5 0

The area of circle in terms of pi is $\frac{9}{16}\pi \ cm^2.$

Step-by-step explanation:

Given,

Circumference of circle = $\frac{3}{2} \pi$ cm

Circumference of a circle is calculated by 2πr.

$2\pi r=\frac{3}{2}\ pi$

Dividing both sides by 2π

$\frac{2\pi r}{2\pi}=\frac{3}{2}\pi *\frac{1}{2\pi}\\r=\frac{3}{4}$

The radius of circle is $\frac{3}{4}$

Area of circle = πr²

Area of circle = $\pi *(\frac{3}{4})^2$

Area of circle = $\pi *\frac{9}{16}$

Area of circle = $\frac{9}{16}\pi$ cm²

The area of circle in terms of pi is $\frac{9}{16}\pi \ cm^2.$

Keywords: area, circle

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You deposit $3000 into a bank account that pays 1.25% annual interest, compounded semi-annually. What is the final balance after

mojhsa [17]

Answer:

$3,153.32

Step-by-step explanation:

Given that

The deposited amount is $3,000

The annual interest rate is 1.25%

So, the semi-annual interest rate is 1.25% ÷2 = 0.625%

And, the time period = 4 × 2 = 8

We need to find out the final balance

So,

As we know that

Future value = Present value × (1 + rate of interest)^number of years

= $3,000 × (1 + 0.625%)^8

= $3,153.32

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3 years ago

What pattern exists in the three places in each period?

alukav5142 [94]

Answer:

the pattern is (hundreds, tens, ones)
963 thousand 104

Step-by-step explanation:

a) Each place in our decimal place-value number system has a name. In the number 356,039, the left-most digit 3 is in the hundred-thousands place, so it is read (by itself) as "three hundred thousand." Together, the digits 356 of that number signify three hundred fifty-six thousand. They are said to be in the "thousands period." Each period of three digits will be grouped like that to specify the number of hundreds, tens, and ones in the period.

b) The given expanded form adds up to give ...

963,104

Based on the above discussion, the name of this number is ...

"nine hundred sixty-three thousand one hundred four"

Using digits to help write this, it would be 963 thousand 104.

3 0

3 years ago

Mary is making some shirts for her school's drama department. The fabric store has 3 1/6 yards of the fabric she wants in stock.

ddd [48]

The answer is 4 3/4 yards of the fabric.

This can be calculated using the proportion.
If the 3 1/6 yards of the fabric is enough for 1 1/3 shirts, how many yards are necessary of 2 shirts:
 $3 \frac{1}{6} yards :1 \frac{1}{3}shirts =xyards:2shirts$

Let's express 3 1/6 as 19/6:
$3 \frac{1}{6} =3+ \frac{1}{6} = 3* \frac{6}{6}+ \frac{1}{6} = \frac{18}{6} + \frac{1}{6} = \frac{18+1}{6} = \frac{19}{6}$

Similarly, 1 1/3 = 4/3:
$1 \frac{1}{3} =1+ \frac{1}{3} = 1* \frac{3}{3}+ \frac{1}{3} = \frac{3}{3} + \frac{1}{3} = \frac{3+1}{3} = \frac{4}{3}$

Now, let's use this in the proportion:
 $3 \frac{1}{6} yards :1 \frac{1}{3}shirts =xyards:2shirts$
 $\frac{19}{6} : \frac{4}{3} = x:2$

Crossing the products:
$x* \frac{4}{3} =2* \frac{19}{6}$
⇒ $x* \frac{4}{3} = \frac{19}{3}$
⇒ $x = \frac{19}{3} : \frac{4}{3}$
$x= \frac{19}{3} * \frac{3}{4}$
⇒ $x = \frac{19}{4} = \frac{16+3}{4} = \frac{16}{4} + \frac{3}{4} =4+ \frac{3}{4} =4 \frac{3}{4}$

Therefore, Mary needs in total 4 3/4 yards of the fabric.

6 0

3 years ago

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Vsevolod [243]

Answer: y = -5; x = -2

Step-by-step explanation:

- 5y – 10x=45

- 3y + 10x = -5

Combining both equations

-8y = 40

y= 40/ -8

y = -5

Substitute y = -5 into any of the equations to get the value of x

-5 (-5) - 10x = 45

25 -10× = 45

-10x =45 -25

-10× = 20

Divide both sides by -10

x = -2

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3 years ago

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A linear graph contains the points (3, -5 and (7, 11)

abruzzese [7]

Slope
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3 years ago

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