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cestrela7 [59]
3 years ago
14

A circle with a 10 inch diameter is cut from a square piece of tin with 10 inch sides. To the nearest tenth of a square inch, fi

nd the amount of tin that is wasted.
Mathematics
1 answer:
saveliy_v [14]3 years ago
5 0

The area of the circle is

... A = (π/4)d² . . . . where d=10 in

The area of the square is

... A = d² . . . . . . . . where d=10 in

The amount of the square that is not in the circle is

... (1 -π/4)d² = 0.2146018d² ≈ 21.5 in² . . . for d=10 in

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Point m is the midpoint of ab¯¯¯¯¯ . am=3x+3, and ab=8x−6. what is the length of am¯¯¯¯¯¯ ?
LuckyWell [14K]
As given m is a midpoint of ab. So am is half of ab.

So we can write

am =  \frac{ab}{2}

As given am = 3x+3 , ab = 8x - 6.

So 3x+3 = \frac{8x - 6}{2}

3x+3 =  \frac{2(4x - 3)}{2}

3x+3 = 4x - 3

3+3 = 4x - 3x


6 = x

So x = 6.

So length of am = 3x+3 = 3*6 + 3 = 21
5 0
3 years ago
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Nesterboy [21]

One is 17.22 and the other is simply 2.

3 0
3 years ago
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Graph the linear equation. Find three points that solve the equation, then plot on the graph. -3y=x-6
nata0808 [166]

Answer:

Step-by-step explanation:                               x - 6

The given equation can be re-written as y = ---------                              

                                                                             -3

Arbitrarily choose x = 0.  Then:

      x - 6         0-6

y = --------- = ----------- = 2, so (0, 2) is a point on the graph which is also the                              

          -3            -3                                                                  y-intercept

Arbitrarily choose x = 6.  Then y = 0, and (6, 0) is another point on the graph                                    

                                                              which happens to be the x-intercept

arbitrarily choose x = 12.  Then y = (12 - 6) / (-3) = -2.  Then  (12, -2) is            

                                                                                  another point on the

                                                                                  graph.

Plot (12, -2), (6, 0) and (0, 2).  Draw a line through these three points.

6 0
3 years ago
Verify the following identity: (csc theta -cot theta )/(sec theta -1) A. sec theta B. cos theta C. cot theta D. sin theta
alexdok [17]

Answer:

C. cot theta

Step-by-step explanation:

(csc theta -cot theta )/(sec theta -1)

csc = 1/ sin

cot = cos / sin

sec = 1 / cos

Let x = theta

(1/ sin x -cos x / sin x )/(1/ cos x -1)

Getting a common denominator in the denominator and combining terms

(1- cos x)/ sinx  / ( 1 - cos x) / cos x

(1- cosx)      (1- cosx)

----------- ÷ ------------

sinx            cos x

Copy dot flip

(1- cosx)       cosx

----------- * ------------

sinx            1 -cos x

Cancel like terms

cos x / sin x

cos / sin = cot

cot x

cot theta

3 0
3 years ago
Write an expression in simplest form for the area of a rectangle with length 6c meters and width 2 meters.
zloy xaker [14]

Answer:

12c square meters

Step-by-step explanation:

We know that

Area of a rectangle = length (L)× width(w)

Here it is given that length ,and width of the rectangle is 6c meters and 2 meters respectively.

Therefore, required area of the rectangle = 6c × 2 = 12c square meters.

6 0
2 years ago
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