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Art [367]
3 years ago
14

The length of a rectangular frame is 5 cm more than the width. The area inside the frame is 66 square cm. Find the width of the

frame.
Mathematics
1 answer:
Ratling [72]3 years ago
6 0
For this case we have that the area is given by:
 A = (w) * (l)
 Where,
 w: width
 l: long
 Substituting we have:
 66 = (w) * (w + 5)
 Rewriting
 w ^ 2 + 5w - 66 = 0
 (w + 11) * (w-6) = 0
 Using the positive root we have:
 w = 6
 Answer:
 
the width of the frame is:
 
w = 6 cm
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marin [14]

Answer:

B

Step-by-step explanation:

Look at the X and Y coordinates carefully. X and Y coordinates are swapped and Y coordinate got negative sign.

4 0
2 years ago
Can somebody pls help me!! :(( it’s due today
Lemur [1.5K]

Answer: $4110.8 (more likely - 95% sure) or $2,107 (less likely)

Step-by-step explanation: It could be $4110.8 because you have the take the total they made and subtract is from the cost of the toys ($7,230-$2,450=$4,780). Then you have to take the result of that and get 14% of it, then subtract that from the $4,780 amount. Then you get the final answer which is $4110.8.

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However, it could also be $2,107 because the question itsn't that clear in the second sentence. It could be saying that $2,450 is the price of the toys (which is what I assumed above), or that it is the profit that the $2,450 (which I used below). I think that the above answer is more likely because if not then the first number would never be used. Anyways here is the second way it could be.

Step-by-step explanation: It could be $2,107 because you take the profit ($2,450) and get 14% of it, then subtract that from the $2,450 amount. Then you get the final answer which is $2,107.

If I was you, I would do the first one ($4110.8) because I really think it is that one. I just put the other one here just in case.

6 0
3 years ago
A cereal company is exploring new cylinder-shaped containers. Two possible containers are shown in the diagram.x is 6 and r=4.5
KatRina [158]

Answer:

Container \rm X will have less label area than container \rm Y by about 9\; \rm in.

Step-by-step explanation:

A rectangular sheet of paper can be rolled into a cylinder. Conversely, the lateral surface of a cylinder can be unrolled into a rectangle- without changing the area of that surface.

Indeed, the width of that rectangle will be the same as the height of the cylinder. On the other hand, the length of that rectangle should be exactly equal to the circumference of the circles on the top and the bottom of the cylinder. In other words, if a cylinder has a height of h and a radius of r at the top and the bottom, then its lateral surface can be unrolled into a rectangle of width h and length 2\,\pi\, r.

Apply this reasoning to both cylinder \mathrm{X} and \rm Y:

For cylinder \mathrm{X}, h = 6\; \rm in while r = 4.5\; \rm in. Therefore, when the lateral side of this cylinder is unrolled:

  • The width of the rectangle will be 6\; \rm in, while
  • The length of the rectangle will be 2 \, \pi \times 4.5\; \rm in = 9\, \pi\; \rm in.

That corresponds to a lateral surface area of 54\, \pi\; \rm in^2.

For cylinder \rm Y, h = 10.5\; \rm in while r = 3\; \rm in. Similarly, when the lateral side of this cylinder is unrolled:

  • The width of the rectangle will be 10.5\; \rm in, while
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That corresponds to a lateral surface area of 63\,\pi \; \rm in^2.

Therefore, the lateral surface area of cylinder \rm X is smaller than that of cylinder \rm Y by 9\,\pi\; \rm in^2.

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Step-by-step explanation:

7 0
2 years ago
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melomori [17]

Answer:

240/96.

Step-by-step explanation:

250-96 =240 so that's 240/96

3 0
3 years ago
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