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slega [8]
3 years ago
7

An open box is to be made from a flat piece of material 14 inches long and 6 inches wide by cutting equal squares of length xfro

m the corners and folding up the sides. Write the volume Vof the box as a function of x. Leave it as a product of factors, do not multiply out the factors.
Mathematics
1 answer:
Ludmilka [50]3 years ago
6 0

Answer:

f(x)=x(14-2x)(6-2x)

Step-by-step explanation:

We are given that

Length of flat piece of material=14 in

Width of flat piece of material=6 in

We have to find the volume of box as a  function of x.

An open box is made from flat piece of material by cutting equal squares of length x from the corner and folding up the sides.

Therefore, Height of box=x in

Length of box=14-2x in

Width of box=6-2x in

We know that volume of box=length\times breadth\times height

Using the formula

Volume of box=f(x)=x(14-2x)(6-2x)

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PLS HELP ASAP PLSSS PLSSS FIRST CORRECT ANSWER GETS BRAINLIEST PLS ANSWER ​
anzhelika [568]

Answer:

√(23)

Step-by-step explanation:

The Pythagorean Theorem is a² + b² = c²

so...

a = 7

b = 3

7² + 3² = c²

14 + 9 = c²

√(23) = c

PLEASE RATE!! I hope this helps!!

If you have any questions let me know

7 0
2 years ago
Find the slope of the line that passes through (8, 4) and (5, 2).
Troyanec [42]

If u you do the slope formula...(m=y2-y1/x2-x1)

2-4/5-8
-2/-3=2/3
Therefore the slope would be 2/3
Btw can u plz mark this answer the brainliest
8 0
3 years ago
Weiming, Joyce and Siti divide cookies to sell in a ratio of 5: 12: 9. After Weiming sold 28 cookies, the ratio becomes 1: 8: 6.
Strike441 [17]

Answer:

216 cookies

Step-by-step explanation:

From the question,

Let the total cookies in the first place be x cookies.

Their ratio = 5:12:9

Total  = 5+12+9 = 26.

Weiming share = (5/26)x = 5x/26

If weiming sold 28 cookies

⇒ (5x/26)-28

⇒ (5x-728)/28

Hence Weiming new share = (5x-728)/28 cookies

The new ratio is 1:8:6

The total cookies becomes = x-28

Therefore,

(1/15)(x-28) = (5x-728)/28

(x-28)/15 = (5x-728)/28

Crossmultiply

28(x-28) = 15(5x-728)

28x-784 = 75x-10920

Collect like terms

28x-75x = -10920+784

-47x = -10136

x = -10136/-47

x = 215.7

x ≈ 216 cookies

8 0
3 years ago
IF SOMEONE COULD HELP WITH THIS IT WOULD BE MUCH APPRECIATED!
julsineya [31]

Answer:

48 Units

Step-by-step explanation:

Use the Pythagorean theorem to make two right triangles.

Ex= Base is cut in half to make two 9 unit bases

Then count the units from the half point.

Ex= 12 units long

Then use Pythagorean theorem to find one side of the 9-12 right triangle

Ex= 9^2+12^2=c^2

After finding that c=15 units, add all the sides back together

Ex= 18+15+15=48

4 0
3 years ago
Changing 25/4 fraction into a mixed fraction
Veronika [31]
Divide 25 by 4 and you get 6 with a remainder of 1. That remainder of 1 can go over 4 to create the final answer of 6 and 1/4. 
6 0
3 years ago
Read 2 more answers
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