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masha68 [24]
3 years ago
14

Ted’s class collects aluminum cans to sell to the recycling center. The center pays $0.002 for each kilogram of aluminum.

Mathematics
2 answers:
Alenkasestr [34]3 years ago
8 0

Answer:

t=an

Step-by-step explanation:

I checked.

nikklg [1K]3 years ago
3 0
There are several information's of immense importance already given in the question. Based on these information's the answer can be easily deduced. Let us now focus on the problem in hand.

Amount paid by the center per kilogram of aluminium = $0.002
The equation is
t = 0.002n dollars

I hope it is absolutely clear to you.
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Find the area of the triangle to the nearest tenth.
andreyandreev [35.5K]

Answer:

42.4

Step-by-step explanation:

1) use this formula of Area of the triangle:

A=\frac{1}{2} a*b*sin(a,b)

2) using the formula described above:

A=0.5*14*11*0.55≈42.4 (mm²)

5 0
3 years ago
Please Help!!!!!!!!!!!!!!!!!!!!!!!!!!!
Brums [2.3K]

Answer:

Assuming the problem asks to rotate counterclockwise: E' (0,0) F' (0,5) G' (-4,5) H' (-4,0)

If it says rotate clockwise then your points will be: E' (0,0) F' (0,-5) G' (4,-5) H' (4,0)

Step-by-step explanation:

Translate the points first by subtracting 3 from the x-coordinates of each, then subtracting 3 from the y-coordinates of each. Next, to rotate them counterclockwise about the origin 90 degrees, switch the x and y coordinates and the sign of the resulting x-coordinate. To rotate clockwise 90 degrees switch the x and y still but change the sign of the resulting y coordinate.

4 0
3 years ago
Determine the area of the triangular ABC with AC=5cm and height DB=30 mm.<br>​
Lady_Fox [76]

Answer:

750 mm²

Step-by-step explanation:

<h3>Area of triangle:</h3>

To find the area of the triangle, multiply the base and height and then divide the result by 2.

       \sf \boxed{\bf Area \ of \ triangle = \dfrac{1}{2}*base *height}

base = AC = 5 cm = 50 mm

height = DB = 30 mm

                                       \sf = \dfrac{1}{2}*50*30\\\\= 25 *30\\\\= 750 \mm^2

7 0
2 years ago
Three spherical balls with radius r are contained in a rectangular box. two of the balls are each touching 5 sides of the rectan
olganol [36]

Answer:

The volume of the space between the balls and the rectangular box is 4r^{3}(6 - \pi)

Step-by-step explanation:

The attachment below shows the description of the rectangular bow and the three spherical balls.

From the description,  

  • Two of the balls are each touching 5 sides of the rectangular box, say the 5 sides touched by one of the balls are sides 1,2,3,4, and 5; then the other ball will touch sides 2,3,4,5, and 6).  
  • The middle ball also touches four sides of the rectangular box, These four sides touched by the middle ball will be sides 2,3,4, and 5.

This means the balls are tightly fitted into the rectangular box.

Each of the balls has a radius r

Hence, The volume of one of the balls is given by the volume of a sphere

Volume of a sphere = \frac{4}{3} \pi r^{3} \\

The volume occupied by one of the balls is \frac{4}{3} \pi r^{3} \\

∴ The volume occupied by the three spherical balls will be

3 × \frac{4}{3} \pi r^{3} \\

= 4\pi r^{3}

The volume occupied by the three spherical balls 4\pi r^{3}

For the rectangular box,

The volume of a rectangular box = l w h

Where l\\ is the length

w is the width and

h is the height

Since the balls are tightly packed,

The width of the rectangular box will be the diameter of the balls

diameter of the balls = 2r

∴ w = 2r

The height of the rectangular box will also be the diameter of the balls

∴ h = 2r

The length of the rectangular box will be 3 times the diameter of the balls

∴l = 3 × 2r = 6r

Hence,

The volume of a rectangular box = 6r × 2r × 2r

= 24r³

The volume of the space between the balls and the rectangular box is given by

Volume of the space between the balls and the rectangular box =

volume of the rectangular box -  volume occupied by the three spherical balls

Volume of the space between the balls and the rectangular box= 24r³ - 4πr³

=  24r³ - 4πr³

= 4r³(6 - π)

5 0
3 years ago
10. Solve for y in the equation -y + 9 = 23.<br> A.y=-14<br> B.y = 14<br> O C. y = 32<br> D.y=-32
KiRa [710]
It is A because you have to divide by a negative one
3 0
3 years ago
Read 2 more answers
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