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seraphim [82]
3 years ago
6

How much greater is the area of a circle with a radius of 6.1 inches than the area of a square with a side length of 4 inches?

Mathematics
1 answer:
umka2103 [35]3 years ago
4 0

Answer:

The area of the circle is 100.8394 square inches greater than the area of the square.

Step-by-step explanation:

Given:

The radius of the circle 6.1 inches

 side of the square= 4 inches

Finding the area of the circle

Area of the circle= \pi r^2

                           =\pi *6.1*6.1

                          =3.14*6.1*6.1

                          = 116.8394 square inches

Area of the square= side*side

                               =4*4\\                                 =16 square inches

116.8394-16=100.8394

The area of the circle is 100.8394 square inches greater than the area of the square.

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Write an equation in standard form for the line that has slope 1/3 and passes<br> through (-2, 8)
Y_Kistochka [10]

Answer:

<h2>         -x + 3y = 26            </h2>

Step-by-step explanation:

The equation of a line which passes through <em>(x₁, y₁)</em> and with slope of <em>m</em> in point-slope form:

                              y - y₁ = m(x - x₁)

m = ¹/₃

(-2, 8)    ⇒   x₁ = -2,  y₁ = 8

Therefore,  the equation of the line which passes through (-2, 8) and with slope of 1/3 in point-slope form:

y - 8 = ¹/₃(x - (-2))

y - 8 = ¹/₃x + ²/₃                   {multiply both sides by 3}

3y - 24 = x + 2                    {subtract x from both sides}

-x + 3y - 24 = 2                     {add 24 to both sides}

-x + 3y = 26

6 0
2 years ago
A line is parameterized by x=2+6???? and y=4+3????. (a) Which of the following points are on the section of the line obtained by
Mars2501 [29]

Answer:

No, yes, yes

(-28,-11) and (8.7)

[tex][\frac{-4}{3} ,\infty)}[/tex]

Step-by-step explanation:

Given that a line in two dimension is parametrized by

x=2+6t \\y = 4+3t

a) If t is non negative, then (-28,-11) cannot lie on that part

(-28,-11) No because t =-5

(8,7) yes because t =1

(26,16) yes because t = 4

b) when t lies between -2 and 1

we have left end point as

x=2+6(-2) = -10\\y = 4+3(-2) = -2\\

(-10,-2) is left end point

Right end point is when t =1 i.e.

(8,7)

c) when the points should be above x axis, y should be non negative

i.e. y=4+3t\geq 0\\t\geq

So t should lie in the interval

[\frac{-4}{3} ,\infty)}

7 0
3 years ago
3 miles is what percent of 28
SSSSS [86.1K]

Answer:

3 is 10.71% of 28.  Hope this helps.

5 0
3 years ago
In a class of 30, five were absent. What fraction of the class was absent?
kipiarov [429]
5/30 were absent  or 1/6 simplifying or dividing both by 5 we have: 1/6
3 0
3 years ago
The SneakerRama Company makes and sells sneakers. They have one linear function that represents the cost of producing sneakers a
maw [93]

Answer:

key features are the slopes of both linear functions, if they are not equal then the two linear  functions will be intercepted

Step-by-step explanation:

Any linear function can be represented by the following linear equation:

y=mx+b

where m is the slope of function

and y in the intercept

Given:

The SneakerRama Company makes and sells sneakers.

They have one linear function that represents the cost of producing sneakers

Let it be represented by y₁=m₁x+b₁

and another linear function that models how much income they get from those sneakers

Let it be represented by y₂=m₂x+b₂

Now if m₁≠m₂

then the two functions will intercept at some point on the graph at some value of x. At that point the cost of producing sneakers will be equal to income they get from those sneakers.

y₂-y₁=0

This point is called the break-even point and the profit is zero at this point !

6 0
3 years ago
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