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3 years ago

Determine the measure of the angles.

Mathematics

2 answers:

Alex787 [66]3 years ago

4 0

Answer:

The answer is 121 for both k and m!! Hope this helps

Step-by-step explanation:

Add 70 and 48 which is 118 then subtract it to 360(always) which is 242 then divide it by 2 since theres 2 sides which you get 121

AfilCa [17]3 years ago

3 0

Answer:

121 for both

Step-by-step explanation:

if we split the shape in the middle, we get two congruent triangles.

divide each angle by 2, and you will get 24 and 35.

The rule of angles within a triangle is that all of them must equal 180.

180-(24+35)

180-59

=121 degrees for both k and m

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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.

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3 years ago

Christopher bought a new watch at the store when they were having a 20% percent off sale. If the regular price of the watch was

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$38.40
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3 years ago

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Answer:

Step-by-step explanation:

No exact amount of cookies so if its a large batch we'll say there is 45 cookies 45 divided by 1/3 is 15

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So your answer is 6.

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3 years ago

Find the center of the circle (x-2)^2+(y-8)^2=33

enyata [817]

Answer:

The center is (2,8)

Step-by-step explanation:

The equation of a circle is written as

(x-h)^2+ (y-k)^2 = r^2

where ( h,k) is the center and r is the radius

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4 years ago

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Answer:

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3 years ago