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Bezzdna [24]
3 years ago
8

How many pieces 10"x12" can you get out of a sheet of steel that is 48"x120"

Mathematics
1 answer:
Ann [662]3 years ago
3 0
48(120)=5760
10(12)=120
5760/120=48

The answer is 48 pieces. Hope this helps!
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In circle D with m \angle CDE= 122m∠CDE=122 and CD=6CD=6 units, find the length of arc CE. Round to the nearest hundredth.
antoniya [11.8K]

Answer:

12.78 units

Step-by-step explanation:

The formula for arc length =

2πr × θ/360

From the question:

θ = 122°

r = 6 units

Therefore, the arc length =

2 × π × 6 × (122/360)

= 12.775810125 units

Approximately to the nearest hundredth = 12.78 units

Therefore, the length of arc CE is 12.78 units

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3 years ago
Jessie is going to the county fair. The cost of admission is $5.00 and it is $2.00 for each ride. If Jessie has $19.00, Write an
shusha [124]

Answer:

7

Step-by-step explanation:

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3 years ago
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Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:y >
pantera1 [17]

Answer:

Part A: The graph of given inequality is shown below.

Part B: The point (4,6) is not a solution of given system of inequalities.

Step-by-step explanation:

Part A:

The given inequalities are

y>2x+3

y

The related equation of given inequalities are

y=2x+3

y=-\frac{3}{2}x-4

Put x=0, to find the y-intercepts.

y=2(0)+3=3

y=-\frac{3}{2}(0)-4=-4

Put y=0, to find the x-intercepts.

0=2x+3\Rightarrow x=-\frac{3}{2}

0=-\frac{3}{2}x-4\Rightarrow x=-\frac{8}{3}

The x and y-intercepts of first line are (0,3) and (-1.5,0) respectively. The x and y-intercepts of second line are (0,-4) and (-2.667,0) respectively.

Check the given inequality by (0,0).

0>2(0)+3

0>3

This statement is false. It means (0,0) is not the solution of this inequality and the shaded region is opposite side of the origin.

0

0

This statement is false. It means (0,0) is not the solution of this inequality and the shaded region is opposite side of the origin.

The graph of given inequalities is shown below.

Part B:

We have to check whether (4,6) is a solution of the system of inequality or not.

Check the given inequality for the point (4,6).

(6)>2(4)+3

6>11

This statement is false. It means (4,6) is not the solution of given system of inequalities.

3 0
3 years ago
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What is 3/5 divided by -1/5
Aleks04 [339]

Answer:

-0.12

Step-by-step explanation:

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4 0
3 years ago
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Solve for a side in right triangles
Ket [755]

Answer:

2.33

Step-by-step explanation:

imagine a circle. its center is A, and it goes through B, so its radius is AB.

then it is important to know that the sum of all the angles in a triangle is 180 degrees.

one angle (at C) is 90. the angle at B is 25. so, the angle at A is 180 - 90 - 25 = 65 degrees.

more back to our circle.

in this circle the line CB is the sine of the angle at A multiplied by the radius.

and AC is the cosine of the angle at A multiplied by the radius.

we can ignore the orientation + and - of these functions, as we are only interested in the absolute length (and we can mirror the triangle, and all the angles and side lengths still stay the same).

=> CB = sin(A)×AB

AC = cos(A)×AB

=> 5 = sin(65)×AB

=> AB = 5 / sin(65)

=> AC = cos(65)×5/sin(65) = 5 × (cos(65)/sin(65)) =

= 5 × cot(65) = 2.33

3 0
2 years ago
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