2 years ago

What is the area of this parallelogram?

Mathematics

1 answer:

dimaraw [331]2 years ago

4 0

Answer:

The answer is 112 m², as you have already showed above

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Find the volume of the solid that lies between planes perpendicular to the x-axis at x = pi/4 and x = 5pi/4. The cross-sections

svp [43]

Answer:

The volume of the solid = π²

Step-by-step explanation:

As per the given data of the questions,

The diameter of each disk is

D = 2 sin(x) - 2 cos(x)

So its radius is

R = sin(x) - cos(x).

The area of each disk is

$= \pi \times(sinx-cosx)^{2}$

$= \pi \times [sin^{2}(x) - 2 sin(x) cos(x) + cos^{2}(x)]$

$= \pi[1-2sin(x)cos(x)]$

$= \pi[1-sin(2x)]$

Now,

Integrate from $x=\frac{\pi}{4}\ \ \ to\ \ \ x=\frac{5\pi}{4}$ , we get volume:

$V=\int_{\frac{\pi}{4}}^{\frac{5\pi}{4}} \pi[1-sin(2x)]dx$

After integrate without limit we get

$V=\pi[x+\frac{cos2x}{2}]$

Now after putting the limit, we get

V = π²

Hence, the required volume of the solid = π²

3 0

3 years ago

The original price of a computer was reduced by $250.

zhannawk [14.2K]

Step-by-step explanation:

reduced price = original price - 250 = p - 250

5 0

3 years ago

Read 2 more answers

Ivan runs 7 miles in 60 minutes. at the same rate how many miles would he run in 24 minutes

dmitriy555 [2]

Hope I helped you out! :))

4 0

3 years ago

Please help please help please help

uranmaximum [27]

It should be 986m

4(17x6)= 408
2(17x17)= 578

408+578=986

7 0

3 years ago

Nate mother drives 225 miles to work each month how many miles do she drives in one year show work

Lubov Fominskaja [6]

Answer:

2700

Step-by-step explanation:

7 0

3 years ago