All categories

3 years ago

A structural steel fabricator cuts 25 pieces each 16.2 centimeters long from a 6.35-meter length

Mathematics

1 answer:

Daniel [21]3 years ago

7 0

Answer: 2.2 meters

Step-by-step explanation:

The data is:

The initial piece is 6.35 meters long.

We cut 25 pieces of 16.2cm each, so in pieces only we have:

25*16.2cm = 405cm

1m = 100cm

Then: 405cm = (405/100) m = 4.05m

And each time that we cut a piece, we have 4mm of waste.

Then we have 25 times the 4mm of waste, this means that the total waste is:

4mm*25 = 100mm

and 1000mm = 1m

100mm = (100/1000) m = 0.1m

So the total amount that was cut is:

4.05m + 0.1m = 4.15m

The length in the channel iron will be: 6.35m - 4.15m = 2.2 meters

You might be interested in

Find the absolute maximum and minimum values of f(x,y)=xy−4x in the region bounded by the x-axis and the parabola y=16−x2.

skad [1K]

Answer:

The absolute maximum and minimum is $20\; \text{and} -20.$

Step-by-step explanation:

We first check the critical points on the interior of the domain using the

first derivative test.

$f_x=y-4=0$

$f_y=x=0$

The only solution to this system of equations is the point (0, 4), which lies in the domain.

$f_{xx}=0, \;f_{yy}=0\; \text{and}\; f_{xy}=-1$

$\Rightarrow f_{xx}f_{yy}-f_{xy}=o-1=-1$

$\therefore (0,4)$ is a saddle point.

Boundary points - $(4,0), (-4,0), (0,16)$

Along boundary $y=16-x^2$

$f=x(16-x^2)-4x$

$=16x-x^3-4x$

$\Rightarrow f^'=16-3x^2-4=0$

$\Rightarrow 3x^2=12$

$\Rightarrow x=\pm2,\;\;y=14$

Values of f(x) at these points.

$\begin{array}{}(4,0)=-16\\(-4,0)=16\\(0,16)=0\\(2,14)=20\\(-2,14)=-20\end{array}$

Therefore, the absolute maximum and minimum is $20\; \text{and} -20.$

6 0

3 years ago

A football field is 300ft long a sloth moving very quickly travels 60ft every 5 minutes based on this ratio how many minutes wou

Ipatiy [6.2K]

Answer:

25 minute

Step-by-step explanation:

Speed is the ratio of the total distance traveled to the total time taken to reach this distance. The formula for speed is:

Speed = total distance / total time taken

The total distance covered by the sloth = 60 ft, and the time taken = 5 minutes, hence:

Speed = total distance / total time taken

speed of the sloth = 60 ft / 5 minutes = 12 ft per minute.

We can calculate the time taken for the sloth to travel the length of the football field (i.e. 300 ft)

speed = distance / time

12 ft/minute = 300 ft / time

time = 300 ft / (12 ft/minute)

time = 25 minute

4 0

2 years ago

In the figure is a right triangle ABC with AC=10cm and BC=6cm. Determine: 1.5.1 The height AB (hint: Theorem of Pythagoras)

Alexxandr [17]

Answer:

height AB is 8 cm

Step-by-step explanation:

AB= √AC^2- BC^2

= √(10)^2- (6)^2

= √100-36

= √64

= 8

3 0

3 years ago

PLZ HELP 50 POINTS AND BRAINLIEST

Roman55 [17]

Answer:

adjacent and supplementary

Step-by-step explanation:

∠ 1 and ∠ 2 are next to each other, that is adjacent.

∠ 1 and ∠ 2 form a straight angle and are supplementary.

5 0

3 years ago

Read 2 more answers

Traveling with the wind, Jerry takes 10 minutes to bicycle to a local library 2.5 km away. Coming back against the wind, it take

olganol [36]

7.5 km/h

Step-by-step explanation:

Let's assign the speed of Jerry in still air as x (in km/h)

Let's assign the speed of the wind as y (in km/h)

With the wind as Jerry’s back, he takes 10 minutes to get to the library. We can create the following equation. (we are converting the minutes to hours by dividing by 60);

2.5 / (x + y) = 10/60

10x + 10y = 150

x + y = 15

With the wind against Jerry, he takes 15 minutes from the library. We can create the following equation;

2.5 / (x-y) = 15/60

15x – 15y = 150

x – y = 10

We can now solve the simultaneous equation by subtraction;

x + y = 15

x – y = 10

2y = 5

y = 5/2 = 2.5

y = 2.5 km/h

x = 7.5 km/h

Learn More:

brainly.com/question/8046928

#LearnWithBrainly

7 0

3 years ago