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snow_lady [41]
3 years ago
8

A rectangular piece of cardboard is 16y cm long and 23 cm wide. Four square pieces of cardboard whose sides are 6y cm each are c

ut away from the corners. Find the area of the remaining cardboard. Express your answer in terms of y. If your answer is ay^b, then what is a+b?
Mathematics
1 answer:
Anna11 [10]3 years ago
3 0

Answer:

Area of remaining cardboard is 224y^2 cm^2

a + b = 226

Step-by-step explanation:

The complete and correct question is;

A rectangular piece of cardboard is 16y cm long and 23y cm wide. Four square pieces of cardboard whose sides are 6y cm each are cut away from the corners. Find the area of the remaining cardboard. Express your answer in terms of y. If your answer is ay^b, then what is a+b?

Solution;

Mathematically, at any point in time

Area of the cardboard is length * width

Here, area of the total cardboard is 16y * 23y = 368y^2 cm^2

Area of the cuts;

= 4 * (6y)^2 = 4 * 36y^2 = 144y^2

The area of the remaining cardboard will be :

368y^2-144y^2

= 224y^2

Compare this with;

ay^b

a = 224, and b = 2

a + b = 224 + 2 = 226

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(D)  (a + 4)/2

Step-by-step explanation:

To solve, you need to subtract the first equation from the second.

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Now, you need to rearrange the equation so that is equal to p.

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(2p)/2 = (a + 4)/2

p = (a + 4)/2

This gives you answer choice D.

5 0
3 years ago
A rectangular prism has a length of 10 cm and width of 5 cm. If the volume of the prism is 250 cm3 , find the height. (Volume of
belka [17]

Height = 5cm

This is because

L=10

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10 x 5 = 50

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---- ------

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4 0
3 years ago
Read 2 more answers
If angle ABC is one degree less than three times angle ABD and angle DBC=47 find each measure
Contact [7]

It has not been indicated whether the figure in the questions is a triangle or a quadrilateral. Irrespective of the shape, this can be solved. The two possible shapes and angles have been indicated in the attached image.

Now, from the information given we can infer that there is a line BD that cuts angle ABC in two parts: angle ABD and angle DBC

⇒ Angle ABC = Angle ABD + Angle DBC

Also, we know that angle ABC is 1 degree less than 3 times the angle ABD, and that angle DBC is 47 degree

Let angle ABD be x

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Also, Angle ABC = Angle ABD + Angle DBC

Substituting the values in the above equations

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8 0
3 years ago
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DochEvi [55]

Answer:

Yes because the answer to both of them is 1

Step-by-step explanation:

Let's solve your equation step-by-step.

−2x+9=7

Step 1: Subtract 9 from both sides.

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−2x=−2

Step 2: Divide both sides by -2.

−2x

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Answer:

x=1    

Let's solve your equation step-by-step.

2x=2

Step 1: Divide both sides by 2.

2x

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7 0
3 years ago
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hope it helps
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