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EleoNora [17]
3 years ago
9

The circumference of a circle is 16π inches. Show how you can use this information to calculate the same circle’s area.

Mathematics
1 answer:
Temka [501]3 years ago
5 0

Answer:

A = 64 pi inches ^2

Step-by-step explanation:

Circumference is equal to

C =2*pi*r  where r is the radius

16 pi = 2 * pi *r

Divide each side by 2 pi

16pi/2pi = 2pir/2pi

8 = r

The radius is 8

To find the area, we use

A = pi r^2

   =pi (8)^2

  = 64 pi

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Joe worked 12 hours and packed 32 cartons. Bob worked 25 hours and packed 64 cartons. Did Joe and Bobwork at the same rate?O YES
Bas_tet [7]

To be able to compare the rates, we will write them in fraction form.

The fraction that represents Joe's rate is:

\frac{32}{12},

and the fraction that represents Bob's rate is:

\frac{64}{25}\text{.}

Simplifying the above fractions, we get:

\begin{gathered} \frac{32}{12}=\frac{8}{3}, \\ \frac{64}{25}=\frac{64}{25}\text{.} \end{gathered}

Since:

\frac{8}{3}\ne\frac{64}{25}

then Bob and Joe did not work at the same rate.

Answer:

No, Bob and Joe did not work at the same rate.

4 0
1 year ago
Jack's last six scores are 75,78,83,80,79,84. If he scores a 90 on the next test, by how much will his mean test score increase?
kondaur [170]

Answer:

1.46

Step-by-step explanation:

First find the the mean score before he made a 90.

\frac{75+78+83+80+79+84}{6} = 79.83

Now add the score of 90 and calculate.

\frac{75+78+83+80+79+84+ 90}{7} = 81.29

Subtract the two scores.

81.29-79.83 = 1.46

His mean test score increased by 1.46.

8 0
4 years ago
What is the slope between<br> the points (0,-3) and (-6,7)?
IceJOKER [234]

Answer:

-5/3

Step-by-step explanation:

8 0
3 years ago
Salomon tracks the weight of his new puppy every 2 weeks. She weighs 10 lbs the
Gekata [30.6K]

Equation (B) "y = 3x + 10" represents the growth of the puppy.

<h3>What are equations?</h3>
  • An equation is a mathematical formula where the "equal to" sign appears between two expressions having the same value.
  • Like 3x plus 5 equals 15, for example.
  • Different types of equations exist, such as linear, quadratic, cubic, and others.
  • The three primary forms of linear equations are the slope-intercept form, standard form, and point-slope form.

So, the equation that represents the situation:

  • The weight increase is: (10, 13, 16, 19, 22, 25)
  • We can observe that every time, there is a rise of 3lbs of weight.
  • Now, let 10 be a constant as the weight is starting from 10 lbs.
  • And 'x' be the number of time Salomon tracks the weight.

Then:

  • y = 3x + 10

For example, Salomon checks the weight for the 6th time then:

  • y = 3x + 10
  • y = 3(5) + 10
  • y = 15 + 10
  • y = 25

So, the equation is correct.

Therefore, equation (B) "y = 3x + 10" represents the growth of the puppy.

Know more about equations here:

brainly.com/question/28937794

#SPJ13

The correct question is given below:
Salomon tracks the weight of his new puppy every 2 weeks. She weighs 10 lbs the day he brings her home. His list for her first 6 "weighs" is as follows: (10, 13, 16, 19, 22, 25}

Which equation represents the growth of the puppy? Select one:

A. y = x + 3

B. y = 3x + 10

C. y = 10x + 3

D. y = x + 10

8 0
1 year ago
What are the zeros of f(x)=x^2+x-20?
zzz [600]
F(x) = x² + x - 20 = x² + 5x - 4x - 20 = x(x + 5) - 4(x + 5) = (x + 5)(x - 4)

f(x) = 0 ⇔ (x + 5)(x - 4) = 0 ⇔ x + 5 = 0 or x - 4 = 0 ⇒ x = -5 or x = 4

Answer: C. x = -5 and x = 4.
3 0
3 years ago
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