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3 years ago

Bengus the expert blacksmith forged 16 swords from copper, 25 swords from iron, and 20 swords from mythril.

Mathematics

2 answers:

Sidana [21]3 years ago

8 0

You will get 61 swords

12345 [234]3 years ago

3 0

Answer:

answer is 110 swords

Step-by-step explanation:

that is the answer dont belive me try it

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Solve the given inequality and graph the solution on a number line. -x/3 + 5/2 < 2/2.

AleksAgata [21]

This is the working. the answer is x is less than half. the number line is beside it.

I hope it helped

8 0

4 years ago

A box with a square base and open top must have a volume of 296352 c m 3 . We wish to find the dimensions of the box that minimi

mestny [16]

Answer:

Base Length of 84cm
Height of 42 cm.

Step-by-step explanation:

Given a box with a square base and an open top which must have a volume of 296352 cubic centimetre. We want to minimize the amount of material used.

Step 1:

Let the side length of the base =x

Let the height of the box =h

Since the box has a square base

Volume, $V=x^2h=296352$

$h=\dfrac{296352}{x^2}$

Surface Area of the box = Base Area + Area of 4 sides

$A(x,h)=x^2+4xh\\$Substitute h=\dfrac{296352}{x^2}\\A(x)=x^2+4x\left(\dfrac{296352}{x^2}\right)\\A(x)=\dfrac{x^3+1185408}{x}$

Step 2: Find the derivative of A(x)

$If\:A(x)=\dfrac{x^3+1185408}{x}\\A'(x)=\dfrac{2x^3-1185408}{x^2}$

Step 3: Set A'(x)=0 and solve for x

$A'(x)=\dfrac{2x^3-1185408}{x^2}=0\\2x^3-1185408=0\\2x^3=1185408\\$Divide both sides by 2\\x^3=592704\\$Take the cube root of both sides\\x=\sqrt[3]{592704}\\x=84$

Step 4: Verify that x=84 is a minimum value

We use the second derivative test

$A''(x)=\dfrac{2x^3+2370816}{x^3}\\$When x=84$\\A''(x)=6$

Since the second derivative is positive at x=84, then it is a minimum point.

Recall:

$h=\dfrac{296352}{x^2}=\dfrac{296352}{84^2}=42$

Therefore, the dimensions that minimizes the box surface area are:

Base Length of 84cm
Height of 42 cm.

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3 years ago

Find the number that makes the ratio equivalent to 2:3.<br> 24: BLANK

Vitek1552 [10]

Answer:

equivalent ratio for this question is

4:6:48

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2 years ago

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Wo numbers are in the ratio of 2 to 3. If the smaller number is 18, the larger number is

Zarrin [17]

The simplified ratio is 2:3. Since the smaller number when it's not simplified is 18, let's divide 18 by 2 to get our factor.
18/2 = 9.
So we can multiply 9 by 3 to get the missing larger number.
9 x 3 = 27.
Your missing number is 27, hope this helps!

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4 years ago

Margaret is going to make some triangular picture frames. She will use strips of wood that are 7 inches, 8 inches, and 6 inches

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3 years ago

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