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Galina-37 [17]
3 years ago
10

A circular rug has a diameter of 6 feet. What is the area of the rug?

Mathematics
2 answers:
podryga [215]3 years ago
7 0

Answer:

The answer to your question is: letter B

Step-by-step explanation:

Data

diameter = 6 ft

area = ?

Formula

               A = πr²

radius = diameter / 2

          = 6 / 2

          = 3 ft

Substitution

              A = π(3)²

                 = 28.27 ft²

Verizon [17]3 years ago
3 0

Answer:

It's my B. The answer is B. "Get it"

Step-by-step explanation:

You might be interested in
A baseball is hit and its height is given by h = 29.4t – 4. 9t^2, where h is the
ioda

Answer:

44.1m

Step-by-step explanation:

we are given a quadratic function which represents the height and time of a baseball

\displaystyle h = 29.4t - 4.9 {t}^{2}

we want to figure out maximum height of

the baseball

since the given function is a quadratic function so we have a parabola

which means figuring out the maximum height is the same thing as figuring out the maximum y coordinate (vertex)

to do so we can use some special formulas

recall that,

\displaystyle \rm t= \frac{ - b}{  2a}

\displaystyle H_{\text{max}}=f(t)

notice that, our given function is not in standard form i.e

\displaystyle f(x) = a {x}^{2}  + bx + c

let's make it so

\displaystyle h =  - 4.9 {t}^{2}  + 29.4t

therefore we got

our <em>a</em> is -4.9 and <em>b </em>is 29.4

so substitute:

\displaystyle\rm t=  \frac{ -( 29.4)}{  2 \cdot - 4.9}

remove parentheses and change its sign:

\displaystyle\rm t=  \frac{ -29.4}{  2 \cdot - 4.9}

simplify multiplication:

\displaystyle\rm t=  \frac{ -29.4}{  - 9.8}

simplify division:

\displaystyle  \: t  = 3

so we have figured out the time when the baseball will reach the maximum height

now we have to figure out the height

to do so

substitute the got value of time to our given function

\displaystyle H_{\text{max}}=29.4\cdot 3-4.9\cdot {3}^2

simplify square:

\displaystyle H_{\text{max}}=29.4\cdot 3-4.9\cdot 9

simplify mutilation:

\displaystyle H_{\text{max}}=88.2-44.1

simplify substraction:

\displaystyle H_{\text{max}}=44.1

hence,

the maximum height of the baseball is 44.1 metres

4 0
3 years ago
Read 2 more answers
to listen 4.Rico used different units to measure this bulletin board. Which unit did he use the fewest of? A. inches listen B. a
Alina [70]

is there a table or something you can add because I cant tell anything with the information you gave.

8 0
3 years ago
A.Find the L.C.M of 18, 40, and 75.<br>​
Slav-nsk [51]

Answer:

1800

Step-by-step explanation:

→ First of all we need to find the prime factorisation of the numbers.

18 = 2 × 3 × 3 or 2 × 3²

40 = 2 × 2 × 2 × 5 or 2³ × 5

75 = 3 × 5 × 5 or 5² × 3

→ Now find the number that appear twice or more and write them down

3 and 3 from 18

2, 2 and 2 from 40

5 and 5 from 75

→ Now multiply all of these numbers together

3 × 3 × 2 × 2 × 2 × 5 × 5 = 3² × 2³ × 5² = 1800

5 0
2 years ago
Read 2 more answers
A medium sized apple weighs 130 grams. How many apples are there in 1 kilogram?
Anuta_ua [19.1K]
<span>7.6 so i would say 7 medium and 1 small or 8 medium apples

</span>
4 0
3 years ago
Read 2 more answers
The 2003 Statistical Abstract of the United States reported the percentage of people years of age and older who smoke. Suppose t
Paul [167]

Complete Question

The 2003 Statistical Abstract of the United States reported the percentage of people 18 years of age and older who smoke. Suppose that a study designed to collect new data on smokers and non smokers uses a preliminary estimate of the proportion who smoke of 0.30.

a. How large a sample should be taken to estimate the proportion of smokers in the population with a margin of error of 0.02? use 95% confidence.

b. Assume that the study uses your sample size recommendation in part (a) and finds 520 smokers. What is the point estimate of the proportion of smokers in the population?

c. What is the 95% confidence interval for the proportion of smokers in the population?

Answer:

a

n = 2017

b

\^ p = 0.2578

c

0.238  <  0.278

Step-by-step explanation:

Considering question a

From the question we are told that

    The margin of error is  E = 0.02

     The preliminary estimate of the proportion who smoke is  p = 0.30

From the question we are told the confidence level is  95% , hence the level of significance is    

      \alpha = (100 - 95 ) \%

=>   \alpha = 0.05

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.96

Generally the sample size is mathematically  represented as  

      n = [ \frac{Z_{\frac{\alpha }{2} }  }{E} ] ^2  *  p(1 - p )

=>   n = [ \frac{1.96  }{0.02} ] ^2  *  0.30(1 -  0.30  )

=>   n = 2017

Considering question b

 From the question we are told that

   The number of smokers  is  k =  520  

Generally the  point estimate of the proportion of smokers in the population is mathematically represented as

        \^ p =  \frac{520 }{2017 }

=>    \^ p = 0.2578

Considering  question c

Generally 95% confidence interval is mathematically represented as  

      \^ p -E <  p <  \^ p +E

=>   0.2578 - 0.02 <  0.2578 + 0.02

=>   0.238  <  0.278

7 0
2 years ago
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