All categories

2 years ago

For parallelogram LMNO , if m

1 answer:

5 0

I'm just going to assume you're given the volume and LMNO are sides of the parallelogram

Area = LMNO

M=?

M= $\frac{area}{LNO}$

You might be interested in

Find the exact length of the curve. x=et+e−t, y=5−2t, 0≤t≤2 For a curve given by parametric equations x=f(t) and y=g(t), arc len

Rama09 [41]

The length of a curve C parameterized by a vector function r(t) = x(t) i + y(t) j over an interval a ≤ t ≤ b is

$\displaystyle\int_C\mathrm ds = \int_a^b \sqrt{\left(\frac{\mathrm dx}{\mathrm dt}\right)^2+\left(\frac{\mathrm dy}{\mathrm dt}\right)^2} \,\mathrm dt$

In this case, we have

x(t) = exp(t ) + exp(-t ) ==> dx/dt = exp(t ) - exp(-t )

y(t) = 5 - 2t ==> dy/dt = -2

and [a, b] = [0, 2]. The length of the curve is then

$\displaystyle\int_0^2 \sqrt{\left(e^t-e^{-t}\right)^2+(-2)^2} \,\mathrm dt = \int_0^2 \sqrt{e^{2t}-2+e^{-2t}+4}\,\mathrm dt$

$=\displaystyle\int_0^2 \sqrt{e^{2t}+2+e^{-2t}} \,\mathrm dt$

$=\displaystyle\int_0^2\sqrt{\left(e^t+e^{-t}\right)^2} \,\mathrm dt$

$=\displaystyle\int_0^2\left(e^t+e^{-t}\right)\,\mathrm dt$

$=\left(e^t-e^{-t}\right)\bigg|_0^2 = \left(e^2-e^{-2}\right)-\left(e^0-e^{-0}\right) = \boxed{e^2-\frac1{e^2}}$

5 0

2 years ago

Find the area of the shaded region. Round to the nearest hundredth when necessary.

dusya [7]

Answer: 423.11 m^2

Step by step explanation:

Area of a circle formula pi*r^2

First solve the area of the big circle

3.14*21^2=1384.74 m^2

Now find the are of the smaller circle

r=21-3.5=17.5
3.14*(17.5)^2=961.63 m^2

Now we can minus the small area off the big area to get the shaded area.

1384.74-961.63=423.11 m^2

So the area of the shaded region is 423.11 m^2

3 0

2 years ago

Robin and evelyn are playing a target game. the object of the game is to get an object as close to the center as possible. each

ludmilkaskok [199]

Answer:

The answer is Evelyns is winning the game because he is clearly up ahead

Step-by-step explanation:

Hope I helped I wish the best for you

3 0

2 years ago

Read 2 more answers

Carl went to the store to buy items for his party.He bought two packs for plates for $3.24 and a pack of cups for $5.70. He also

Andre45 [30]

3.24 + 5.70 + 6.17 = 15.11

20.00 - 15.11 = 5.11

He got 5.11$ of change back.

7 0

2 years ago

What is y = -3(x – 7)(x + 3) in standard form?

xxTIMURxx [149]

Answer:

y=-3x^2+12x+63

Step-by-step explanation:

y=-3(x-7)(x+3)

y=-3(x^2-4x-21)

y=-3x^2+12x+63

4 0

2 years ago