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3 years ago

HELP PLEASE & SHOW UR WORK THANK YOUUUU!!!!

Mathematics

1 answer:

Brut [27]3 years ago

5 0

Answer:

A because the 0.55 needs to have a variable right next to it

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Find the area and perimeter of trapezium.

neonofarm [45]

Answer:

Perimeter- 26cm

Area- I Don't know sorry. I'll comment if I figure it out

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2 years ago

Read 2 more answers

Find the maximum and minimum values of the function f(x,y)=2x2+3y2−4x−5 on the domain x2+y2≤100. The maximum value of f(x,y) is:

ryzh [129]

First find the critical points of f :

$f(x,y)=2x^2+3y^2-4x-5=2(x-1)^2+3y^2-7$

$\dfrac{\partial f}{\partial x}=2(x-1)=0\implies x=1$

$\dfrac{\partial f}{\partial y}=6y=0\implies y=0$

so the point (1, 0) is the only critical point, at which we have

$f(1,0)=-7$

Next check for critical points along the boundary, which can be found by converting to polar coordinates:

$f(x,y)=f(10\cos t,10\sin t)=g(t)=295-40\cos t-100\cos^2t$

Find the critical points of g :

$\dfrac{\mathrm dg}{\mathrm dt}=40\sin t+200\sin t\cos t=40\sin t(1+5\cos t)=0$

$\implies\sin t=0\text{ OR }1+5\cos t=0$

$\implies t=n\pi\text{ OR }t=\cos^{-1}\left(-\dfrac15\right)+2n\pi\text{ OR }t=-\cos^{-1}\left(-\dfrac15\right)+2n\pi$

where n is any integer. We get 4 critical points in the interval [0, 2π) at

$t=0\implies f(10,0)=155$

$t=\cos^{-1}\left(-\dfrac15\right)\implies f(-2,4\sqrt6)=299$

$t=\pi\implies f(-10,0)=235$

$t=2\pi-\cos^{-1}\left(-\dfrac15\right)\implies f(-2,-4\sqrt6)=299$

So f has a minimum of -7 and a maximum of 299.

4 0

3 years ago

302 car stereos were recently sold in a car audio store. 149 had a CD player, 116 had a cassette player, and 40 had both a CD an

Mandarinka [93]

Answer:

109 car stereos

Step-by-step explanation:

If 149 car stereos had a CD player (with or without a cassette player), and 40 car stereos had both a CD and a cassette player, the number of stereos with only a CD player is determined by:

$CD_{only} = CD - Both\\CD_{only} =149-40\\CD_{only} =109\ car\ stereos$

109 car stereos had only a CD player.

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3 years ago

Solve the equation. −13m − 7 = 5

andrew-mc [135]

-13m = 5+7
m = 12/-13

3 0

3 years ago

A circle is divided into 6 equal parts. what is the total angle measure of 1 part?

Rus_ich [418]

Answer:

$dis \: is \: easy \\ angle \: in \: a \: circle = 360 \\ the \: angle \: is \: divided \: into \: six \: part \\ divide \: the \: 360 \: by \: 6 \\ \frac{360}{6} = 60 \\ therefore \: the \: angle \: of \: one \: part \: \\ = 60 \: degree$

7 0

3 years ago