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marysya [2.9K]
2 years ago
7

Find the area of a circle with a diameter of 6 feet. Find both the exact area and the area rounded to the nearest

Mathematics
2 answers:
Ostrovityanka [42]2 years ago
6 0

Answer is =28.27433ft²

Step-by-step explanation:

A≈28.27ft²(Answer)

Diameter  

6

ft

d

r

r

r

d

d

C

A

Using the formulas:

A=πr2

d=2r

Solving for A

A=1

4πd2=1

4·π·62≈28.27433ft²

DedPeter [7]2 years ago
3 0
To answer this question we need to use a basic formula to find the area of a circle which is:
pii*radius*radius

Steps:
1. Find the radius

Divide 6 (diameter) by 2 since 2 radius makes up a diameter, so you would get 3 has the radius.

2. Substitute the values

3.14 * 3*3
Which equals 28.26.

Answer:
Exact area—28.26 ft (squared)

Rounded to the nearest tenth—28.3 ft (squared)

Hope this helps!!

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3 years ago
If two different people are randomly selected from the 864 subjects, find the probability that they are both heavy smokers. Roun
AlekseyPX

Answer:

P = 0.008908

Step-by-step explanation:

The complete question is:

The table below describes the smoking habits of a group of asthma sufferers

               Nonsmokers      Light Smoker     Heavy smoker      Total

Men                        303                     35                           37        375

Women                   413                     31                            45        489

Total                        716                     66                           82        864

If two different people are randomly selected from the 864 subjects, find the probability that they are both heavy smokers.

The number of ways in which we can select x subjects from a group of n subject is given by the combination and it is calculated as:

nCx=\frac{n!}{x!(n-x)!}

Now, there are 82C2 ways to select subjects that are both heavy smokers. Because we are going to select 2 subjects from a group of 82 heavy smokers. So, it is calculated as:

82C2=\frac{82!}{2!(82-2)!}=3321

At the same way, there are 864C2 ways to select 2 different people from the 864 subjects. It is equal to:

864C2=\frac{864!}{2!(864-2)!}=372816

Then, the probability P that two different people from the 864 subjects are both heavy smokers is:

P=\frac{82C2}{864C2}=\frac{3321}{372816}=0.008908

4 0
3 years ago
A theater technician charges a $200 flat fee and 5% of all profits from ticket sales per show. If the technician made $400 on a
RoseWind [281]

Answer:

$10

Step-by-step explanation:

$200 for the flat fee, then $400 X .05=$10

$10 is the amount made off of ticket sales.

7 0
3 years ago
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