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3 years ago

Find the area of a circle with a circumference of 6.28 units

Mathematics

1 answer:

viktelen [127]3 years ago

6 0

Answer:

area of the circle = 3.14 square units

Step-by-step explanation:

Circumference of the circle formula is $2\pir$

where r is the radius of the circle

given circumference = 6.28

$2\pir$ = 6.28

Value of pi is 3.14

2*3.14 * r= 6.28

6.28 r = 6.28

divide by 6.28 on both sides

r = 1

radius = 1

Area of the circle = $\pi r^2$

= 3.14 *1*1 = 3.14

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3 years ago

Scott bought a 50-pound (b) bag of corn He sprinkle 125 Ihs of the common the ground and

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3 years ago

Are the expressions x + x + 1 + x + 2 + x + 1 + x and 5x + 4 equivalent? Why or why not?

egoroff_w [7]

Answer:

yes

they are equivalent because lets say the X = 3 then you would have to answer

3 + 3 + 1 + 3 + 2 + 3 + 1 + 3

and that would = 19

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So the both equal the same.

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3 years ago

A company's profit C (in thousands of dollars) can be modeled by the polynomial function C = - 5x ^ 3 + 6x ^ 2 + 15x , where x i

steposvetlana [31]

Answer:

849 items.

Step-by-step explanation:

Given that the profit C (in thousands of dollars) for x thousands of items related as

$C = - 5x ^ 3 + 6x ^ 2 + 15x \\\\\Rightarrow -5x^3+6x^2+15x -C=0\cdots(i)$

As the profit is $14,000 for producing 2000 items, so

C= 14 thousand dollars and

x= 2 thousand items.

Putting C= 14 in the equation ( we have),

$-5x^3+6x^2+15x -14=0\cdots(ii)$

Now, x=2 is one of the solutions to the equation (ii), so (x-2) is a factor of the equation (ii), we have

$(x-2)(-5x^2-4x+7)=0 \\\\\Rightarrow x-2=2 \; or \; -5x^2-4x+7=0$

We have the given solution for x-2=0, so sloving -5x^2-4x+7=0 for other solutions.

$-5x^2-4x+7=0 \\\\\Rightarrow x= \frac {-(-4)\pm \sqrt {(-4)^2-4\times (-5)7}}{2\times (-5)} \\\\\Rightarrow x= \frac {4\pm \sqrt {156}}{2\times (-5)} \\\\\Rightarrow x= \frac {4\pm 12.49}{2\times (-5)} \\\\\Rightarrow x = \frac {4+ 12.49}{2\times (-5)}, \frac {4- 12.49}{2\times (-5)} \\\\\Rightarrow x = -1.649, 0.849$

As the number of items cant be negative, so x= 0.849 thousand is the other number of items.

Hence, the other number of items for the same profit is 849 items.

4 0

3 years ago