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viva [34]
3 years ago
6

A 3 inch radius circle is drawn inside a 7 inch radius circle. If you throw a dart at these circles, what is the probability you

land inside the bigger circle but outside smaller circle?
Mathematics
1 answer:
lorasvet [3.4K]3 years ago
3 0

Answer:

Step-by-step explanation:

The first step is to determine the areas of the inner and the bigger circles.

The formula for determining the area of a circle is expressed as

Area = πr²

Where

r represents the radius of the circle.

π is a constant whose value is 3.14

Considering the inner circle,

diameter = 148.4 cm

Radius = 3 inches

Area = 3.14 × 3² = 28.26 inches²

Considering the bigger circle,

Radius = 7 inches

Area = 3.14 × 7² = 153.86 inches²

The area between the bigger and inner circles is

153.86 - 28.26 = 125.6 inches²

Probability = number of favourable outcome/number of total outcome.

the probability you land inside the bigger circle but outside smaller circle is

125.6/153.86 = 0.82

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There are 5/7 as many barrettes as hair ties in Sasha's hair supplies. There are 5/8 barrettes as hair bands in her supplies. Wh
motikmotik

Answer:

  1/3

Step-by-step explanation:

We are given ...

  barrettes : hair ties = 5 : 7

  barrettes : hair bands = 5 : 8

Then the combined ratios are ...

  barrettes : hair ties : hair bands = 5 : 7 : 8

For every 5 barrettes, there are 7+8 = 15 hair ties and bands, so their ratio is ...

  barrettes/(hair ties and bands) = 5/15 = 1/3

7 0
3 years ago
Read 2 more answers
Find the area when the circumference is 50.24 cm
nevsk [136]

Answer:

201

Step-by-step explanation:

C = 2pi.R

50.24/2pi = R

R= 8

area = pi R² = pi x 8² = 201

7 0
2 years ago
If (9 to the 2nd power)p = 9 to the 8th power , what is the value of p?
Novay_Z [31]

(9^2)^p=9^8\\\\9^{2p}=9^8\\\\2p=8\\\\p=4

3 0
3 years ago
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Hamish and hairy work as plumbers. Harry earns a dollar more than 5/4 The amount Hamish orange per hour. The amount Harry earns
Mnenie [13.5K]

Answer:

Harry earns 26 and Hamish earns 20

Step-by-step explanation:

The computation of the amount earned by each one of them is shown below:

Let us assume the hairy be Y

And, the Hamish be M

It is given that Harry earns a dollar i.e more than 5/4

And, it is $2 less than  7/5

So, the equation would be

y = 1.25m + 1  ...........................(i)

And,

y= 1.4m -2  .............................(ii)

Now equal both the equations

1.25m + 1 = 1.4m - 2

3 = 0.15m

So, m = 20

Now put the values of m in any of the above equation to find out the value of Y

Y = 1.25m + 1

= 1.25 (20) + 1

= 26

6 0
3 years ago
The radius of a circular puddle is growing at a rate of 25 cm/sec.
tatiyna

Answer:

Step-by-step explanation:

a)area A=pi r^2

rate of change of area =dA/dt =2 pi r dr/dt

given dr/dt =25 ,r =50

rate of change of area =dA/dt =2 pi *50 *25 =2500pi=7854

area growing 7854 cm2/s

b)area A=pi r^2

rate of change of area =dA/dt =2 pi r dr/dt

given dr/dt =25 ,A =64

pi r^2 =64

=>r =8/√pi

rate of change of area =dA/dt =2 pi *(8/√pi) *25 =400√pi=708.98

area growing 708.98 cm2/s

8 0
3 years ago
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