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algol13
2 years ago
8

Help asap

Mathematics
1 answer:
Mama L [17]2 years ago
6 0

Answer:

216\pi

Step-by-step explanation:

Given the figure.

And the perimeter in the ratio 4: 2: 1.

Perimeter of smallest circle = 8\pi

To find:

Area of shaded region.

Solution:

To find the area, we need to have radius first.

And radius can be calculated by the given perimeter.

Formula for Perimeter is given as:

Perimeter = 2\pi r

8\pi = 2\pi r\\\Rightarrow r = 4\ cm

Radius of smallest circle = 4 cm

Ratio of perimeter is equal to the ratio of the radii.

Radius of 2nd smallest circle by the given ratio = 8 cm

Radius of largest circle = 16 cm

Area of a circle is given the formula:

A = \pi r^2

Area of the smallest circle = \pi 4^2 = 16\pi\ cm^2

Area of the 2nd smallest circle = \pi 8^2 = 64\pi\ cm^2

Area of the largest circle = \pi 16^2 = 256\pi\ cm^2

Area of the shaded region = Area of largest circle + 2 \times Area of 2nd smallest circle + 3 \times Area of smallest circle - 2 \times Area of smallest circle - 3 \times Area of 2nd smallest circle

Area of the shaded region = Area of largest circle - Area of 2nd smallest circle + Area of smallest circle = 256\pi - 64\pi +16\pi = 216\pi

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A city council organized a marathon race to promote good health. There were 3 times as many female participants as male particip
hichkok12 [17]

Answer:

609 males

Step-by-step explanation:

A city council organized a marathon race to promote good health.

Let the number of

Females = x

Males = y

There were 3 times as many female participants as male participants in the marathon.

3x = y

If the total number of participants was 812,

x + y = 812..... Equation 1

We substitute 3x for y in Equation 1

x + 3x = 812

4x = 812

x= 812/4

x = 203 females

3x = y

Solving for y

3(203) = 609 males

The number of males participants = 609

5 0
2 years ago
A rental car agency charges $200.00 per week plus $0.25 per mile to rent a car. How many miles can you travel in one week for $3
Setler79 [48]
Equation: 0.25x + 200
0.25x + 200 = 345
0.25x = 145
140/0.25 = 580 miles
Answer: 580 miles
3 0
3 years ago
P(A)=0.22 and P(B)=0.46 <br> Find P(A OR B)
morpeh [17]

In general, the probability of a disjunction is

P(A \lor B) = P(A)+P(B)-P(A\cap B)

In this case, A and B are mutually exclusive, so P(A\cap B)=0

This simplifies the formula to

P(A \lor B) = P(A)+P(B) = 0.22+0.46 = 0.68

4 0
3 years ago
Please help it’s urgent
Setler [38]

s is less than or equal to 75


3 0
3 years ago
Adrian works in New York City and makes $40 per hour. She works in an office and must pay $20 a day for lunch. If she wants to m
andrew-mc [135]

Answer: She would have to work 7 hours to earn $260.

Step-by-step explanation: 40×7=280 280-20=260 Hope this helps.

6 0
2 years ago
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