All categories

3 years ago

A 2 meter by 2 meter square sheet of titanium alloy is used to make an open box by cutting squares

Mathematics

1 answer:

In-s [12.5K]3 years ago

7 0

Answer:

D) 1/3

Step-by-step explanation:

Cut sizes are:

A) 1

Sides are:

1 and 2 off (2-2*1) = 0

Volume is

zero

B) 2/5

Sides are:

2/5 and 2 off (2-2*2/5) = 6/5

Volume is:

2/5*6/5*6/5 = 0.576

C) 1/4

Volume is:

1/4*(2 - 2/4)(2 - 2/4) = 0.5625

D) 1/3

Volume is:

1/3*(2 - 2/3)(2-2/3)= 0.5925

E) 1/2

Volume is:

1/2*(2 - 2/2)(2 - 2/2) = 0.5

The largest volume is obtained when cut size is 1/3 m

Correct option is D.

You might be interested in

Is figure B a scaled copy of figure A

artcher [175]

We know scale factor(k)=y/x

Calculate units as 1 and find k

For left side

$\\ \sf\longmapsto k=\dfrac{5}{3}$

For base

$\\ \sf\longmapsto k=\dfrac{4}{4}=1$

Hence its not a copy

4 0

2 years ago

Read 2 more answers

Wha is the height of a prism if the surface area is 460mm^2

worty [1.4K]

7MM because the prisma is retangular so the answer is c

7 0

3 years ago

A company that rents small moving trucks wants to purchase 25 trucks with a combined capacity of 28,000 cubic feet. Three differ

pickupchik [31]

Answer:

We have 4 solutions:

No 10-foot truck, 10 14-foot trucks, and 15 24-foot trucks
2 10-foot trucks, 7 14-foot trucks, and 16 24-foot trucks
4 10-foot trucks, 4 14-foot trucks, and 17 24-foot trucks
6 10-foot trucks, 1 14-foot trucks, and 18 24-foot trucks

Step-by-step explanation:

Let the number of 10-foot truck with a capacity of 350 cubic feet purchased=a

Let the number of 14-foot truck with a capacity of 700 cubic feet purchased=b

Let the number of 24-foot truck with a capacity of 1,400 cubic feet purchased=c

The company wants to purchase 25 trucks, therefore.

a+b+c=25

Furthermore, the combined capacity of the trucks is 28,000 cubic feet.

350a+700b+1400c=28000

Since the number of equations is less than the number of variables, you can not use a matrix equation to solve this problem. The solution is most easily found using an augmented matrix.

The augmented matrix is presented below:

$\left[\begin{array}{ccc|c}1&1&1&25\\350&700&1400&28000\end{array}\right]$

Using the calculator, the reduced row echelon form is:

$\left[\begin{array}{ccc|c}1&0&-2&-30\\0&1&3&55\end{array}\right]$

where

a- 2c=-30 means a =2c-30

b+3c=55 means b= 55-3c

We alter the value of c as long as neither a nor b becomes negative. Suitable values for c are 15, 16, 17, and 18:

$\left|\begin{array}{|c||c||c|}a=2c-30&b=55-3c&c\\0&10&15\\2&7&16\\4&4&17\\6&1&18\end{array}\right|$

We can easily verify that, for each solution, the number of trucks adds up to 25 and the fleet capacity is 28,000 cubic feet.

We therefore have 4 solutions:

No 10-foot truck, 10 14-foot trucks, and 15 24-foot trucks
2 10-foot trucks, 7 14-foot trucks, and 16 24-foot trucks
4 10-foot trucks, 4 14-foot trucks, and 17 24-foot trucks
6 10-foot trucks, 1 14-foot trucks, and 18 24-foot trucks

4 0

3 years ago

Lee needed to make drapes the length from the floor to the top of the window. The wall beneath the window had the height of 2 2/

nirvana33 [79]

2 2/3 + 2 3/4 is equal to 5 5/12 so the drapes will be 5 5/12 feet long (or 5 feet 5 inches)

3 0

3 years ago

Read 2 more answers

Type the correct answer in the box. Use numerals instead of words. What value of x satisfies this equation? log2 (6x – 8) – log2

netineya [11]

Answer:

Espero te sirva

Step-by-step explanation:

Suerte ******'**

6 0

2 years ago