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VashaNatasha [74]
3 years ago
8

The radius of a circular sign is 12 inches. Equal parts of the sign are painted red and yellow. How many square inches are paint

ed each color l? Use 3.14 for PI
Mathematics
1 answer:
AnnZ [28]3 years ago
3 0

Answer:

226.08 square inches

Step-by-step explanation:

Area of a circle is given by

A=\pi r^{2}

Where r is the radius and r is the area.

For this case, since one half is painted yellow and another red, then the area for each paint will be given by

A=0.5\pi r^{2}

Substituting 12 inches for r then

A=0.5\pi 12^{2}=226.08 in^{2}

Therefore, each paint occupies approximately 226.08 square inches

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A population of rabbits is described by the function R(t) = 100(2t/5), where t is measured in months and R is measured in rabbit
Savatey [412]

Answer and Step-by-step explanation: The graph is shown in the attachment.

a. ΔR on [1,2] is mathematically expressed as:

ΔR = R(2) - R(1)

which means difference of population of rabbits after 2 months and after 1 month.

R(1) = 100(\frac{2}{5}.1 )

R(1) = 100(\frac{2}{5} )

R(2) = 100(\frac{2}{5}.2 )

R(2) = 100(\frac{4}{5} )

\Delta R = 100(\frac{4}{5} )-100(\frac{2}{5} )

\Delta R = 100[\frac{4}{5} - \frac{2}{5} ]

\Delta R= 40

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b. R(0) = 100(\frac{2}{5} .0)

R(0) = 0

Initially, there no rabbits in the population.

c. R(10) = 100(\frac{2}{5}.10 )

R(10) = 400

In 10 months, there will be 400 rabbits.

d. R(t) = 500

500=100(\frac{2}{5}.t )

\frac{500}{100}=\frac{2}{5}.t

t = \frac{500.5}{100.2}

t = 12.5

In 12 and half months, population of rabbits will be 500.

3 0
3 years ago
The number of calories burned while jogging varies directly with the number of minutes spent jogging. If george burns 150 calori
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a dealership purchase a four door sedan for $17000 and then sold it at a 15% markup. the dealership paid the buyer $4000 for the
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8 0
3 years ago
Read 2 more answers
would someone be able to explain to me how to solve these problems? I don't need the solutions, I just need an explanation. I ne
Leni [432]
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x^2 - 49 = 0 
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giving x = -7  and 7.
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you use the 'ac' method  Google it to get more details
2x^2 - 5x + 2
multiply first coefficient by the constant at the end 
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now factor by grouping 
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(x - 2) is common so

(2x - 1)(x - 2) = 0
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The last example is solved in the same way.


8 0
3 years ago
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