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fgiga [73]
3 years ago
13

The radius of a circle is 14. Using π, which equation expresses the ratio of the circumference of the circle to the circle's dia

meter?
Mathematics
1 answer:
larisa [96]3 years ago
3 0

Answer:

\dfrac{c}{28}=\pi

Step-by-step explanation:

The circumference c of circle of radius r is given by

c=2\pi r,

and the diameter d is 2 times the radius:

d=2r.

Therefore, the ratio of the circumference to the diameters is

\dfrac{c}{d}=\dfrac{2\pi r}{2r}

\dfrac{c}{d}=\pi.

Putting in d= 2r =28, we get

\boxed{ \dfrac{c}{28}=\pi}

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Suppose that f(x,y) is a smooth function and that its partial derivatives have the values, fx(−7,−2)=−1 and fy(−7,−2)=3. Given t
yarga [219]

Answer:

f(-6,-1) =0

Step-by-step explanation:

We are given the following in the question:

f_x(-7,-2)=-1\\f_y(-7,-2)=3\\f(-7,-2)=-2

We have to estimate the value of f(-6,-1)

By Taylor approximation we have:

f(x,y) =f(-7,-2)+ f_x(-7,-2)(x+7) + f_y(-7,-2)(y+2)\\f(x,y) = -2 + (-1)(x+7) + 3(y+2)\\f(x,y) = -2-x-7+3y+6\\f(x,y) = -x+3y-3

Now, putting values, we get,

f(x,y) = -x+3y-3\\f(-6,-1) = -(-6)+3(-1)-3\\f(-6,-1) =0

is the required value.

5 0
4 years ago
The base of a triangle exceeds the height by 7 feet. if the area is 114 square feet, find the length of the base and the height
Anon25 [30]
Let h represent the height.  Then the base is h+6 (all measurements are in feet).

The formula for the area of a triangle is A = (base)(height)/2.

Here A = 114 ft^2 = (base)(height)/2.  Substituting the (h+6) and h,

A = [114 ft^2] = [(h+6)(h)]/2 , or  [h^2 + 6h]/2, or 2A = 228 = (h+6)h.  Multiply out the right side

Solve 228 = h^2 + 6h for h:

h^2 + 6h - 228 = 0

Applying the Quadratic Formula,
        -6 plus or minus sqrt(36-4(1)(-228))
h = -------------------------------------------------
                              2
               -6 plus or minus sqrt(948)         -6 plus or minus 30.79
or    h = ------------------------------------- = ------------------------------------                                                   2                                                 2
                -6 plus or minus 30.79
        h = ----------------------------------
                               2

We want only the positive result.  That comes to h = 30.79-6
                                                                                    ----------
                                                                                          2

or 24.79/2, or   h = 12. 40

h represents the altitude of the triangle, so h+7 represents the length of the base.  These values are 12.40 feet and 19.40 feet respectively.

Substitute b=19.40 feet and h=12.40 feet into the formula A = bh/2.
Is the result 114 sq. ft. ?
4 0
4 years ago
Can someone please take a moment to draw me something like this for my project pleaseee only 1 is good (the on In the photo) and
Kay [80]

Answer:

i dont understand this question at all

Step-by-step explanation:

3 0
3 years ago
Jia is tiling a floor. The floor is a square with side
NNADVOKAT [17]

Answer:

36 tiles

Step-by-step explanation:

First, find area of the square floor knowing the formula as;

Area= s^{2}

where s= side of a square.

If one side of the floor is 12 feet, then Area= 12^{2} = 144ft^{2}

Next, find the area of each tile using the same formula and given s=2 feet;

Area(tile) = 2^{2} = 4ft^{2}

To find the number of tiles needed to cover entire floor, divide area of the floor by area of one tile; 144 / 4 = 36 tiles

5 0
3 years ago
Jade needs $45 to go on a field trip. He has saved $15.25. He earns $6.50 per hour cleaning his neighbor's garden, and he earns
myrzilka [38]
So 6.50•2=13.00.

And 5.25•3=15.76. So add the 13.00 ,15.75 and the 15.25 and you get 44.00 so no he's a dollar short
7 0
3 years ago
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