All categories

1 year ago

1. You are going to make one of these bags from a roll of cloth 1 meter wide. What

Mathematics

1 answer:

maks197457 [2]1 year ago

8 0

Answer:

1 cm

You are going to make one of these bags from a roll of cloth 1 meter wide. What

is the shortest length that you need to cut from the roll for the bag?

Step-by-step explanation:

You might be interested in

g Use Stokes' Theorem to evaluate C F · dr where C is oriented counterclockwise as viewed from above. F(x, y, z) = 7yi + xzj + (

Sati [7]

By Stokes' theorem,

$\displaystyle\int_C\vec F\cdot\mathrm d\vec r=\iint_S(\nabla\times\vec F)\cdot\mathrm d\vec S$

where $S$ is any oriented surface with boundary $C$ . We have

$\vec F(x,y,z)=7y\,\vec\imath+xz\,\vec\jmath+(x+y)\,\vec k$

$\implies\nabla\times\vec F(x,y,z)=(1-x)\,\vec\imath-\vec\jmath+(z-7)\,\vec k$

Take $S$ to be the ellipse that lies in the plane $z=y+9$ with boundary on the cylinder $x^2+y^2=1$ . Parameterize $S$ by

$\vec s(u,v)=u\cos v\,\vec\imath+u\sin v\,\vec\jmath+(u\sin v+9)\,\vec k$

with $0\le u\le1$ and $0\le v\le2\pi$ . Take the normal vector to $S$ to be

$\vec s_u\times\vec s_v=-u\,\vec\jmath+u\,\vec k$

Then we have

$\displaystyle\int_C\vec F\cdot\mathrm d\vec r=\iint_S(\nabla\times\vec F)\cdot\mathrm d\vec S$

$=\displaystyle\int_0^{2\pi}\int_0^1\big((1-u\cos v)\,\vec\imath-\vec\jmath+(u\sin v+2)\,\vec k\big)\cdot\big(-u\,\vec\jmath+u\,\vec k\big)\,\mathrm du\,\mathrm dv$

$=\displaystyle\int_0^{2\pi}\int_0^1(3u+u^2\sin v)\,\mathrm du\,\mathrm dv=\boxed{3\pi}$

5 0

3 years ago

What is 6.7% written as a decimal ?

MissTica

Answer:

0.067

Step-by-step explanation:

Divide any percentage by 100 to get the decimal form.

6.7÷100=0.067

4 0

2 years ago

Read 2 more answers

Miguel recently sold some farmland and bought a new plot that consists of 968 acres. Miguel calculates that this is 20% less acr

Delicious77 [7]

Answer:

1210 acres

Step-by-step explanation:

Given data

let the old farmland be x acres

new farmland = 968 acres

therefore

let us find 20% of the old farmland

=20/100x

=0.2x

Hence

968+0.2x=x

collect like terms

968=x-0.2x

968=0.8x

x= 968/0.8

x=1210 acres

6 0

2 years ago

While in Europe, if you drive 123 km per day, how much money would you spend on gas in one week if gas costs 1.10 euros per lite

Leona [35]

First, you drive 123km per day, and they ask for in a week.
There are 7 days in a week, we have to multiply 123 by 7, which equals 861.
=km per week 861
Now, we need to find out how much cost the gas. Gas cost 1.10 euros per-liter, and this problem wants us to assume that 1euro = 1.26 dollars.

So, we divide 1.10 by 1.26 which is 0.87.
=gas cost 0.87 per liter.

Next, this person goes 31.0 mi/gal per stop.
To get the answer we need to divide 861 the full distance in a week and divide it by how many stops nee to be made which is each 31 mi/gal.

So, 861/31 = 27.77 and now we times 0.87 by 27.77 to get gas cost.
=24.16

6 0

3 years ago

Read 2 more answers

Students were asked how many pairs of shoes they owned. Their responses were 8, 2, 1, 5, 7, 6, 2, 2, 8, and 3.

IRINA_888 [86]

Answer:

4.4

Step-by-step explanation:

The mean is the sum of the data divided by the number of data values. so add them all together and then divide by how many numbers you added together.

Here is an example 1,3,4,5,7 so add 1+3+4+5+7=20 then you divide 20 by 5 and the mean is 4 for this example.

3 0

2 years ago

Read 2 more answers