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3 years ago

There are 3 pancakes for every person

Mathematics

2 answers:

inysia [295]3 years ago

3 0

Therefore every person has three pancakes.

frutty [35]3 years ago

3 0

Yay! Pancakes for everyone!!!

No, but seriously what is the actual question?

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Lilit [14]

9514 1404 393

Answer:

x = 30
y = 105
z = 75

Step-by-step explanation:

You know the linear pair z° and 105° are supplementary angles, so ...

z = 180 -105 = 75

The other base angle of the isosceles triangle has the same measure, 75°. __

Then x can be found either from the sum of interior angles of the triangle, or from the relation of 105° to the "remote interior angles". The first relation gives ...

75° +75° +x° = 180° ⇒ x = 180 -150 = 30

The second relation gives ...

75° +x° = 105° ⇒ x = 105 -75 = 30

y° is supplementary to the left-side base angle, so is ...

y = 180 -75 = 105

Of course, you could also figure y from the symmetry of the figure.

The values of x, y, z are 30, 105, 75, respectively.

5 0

3 years ago

EXAMPLE 5 Find the maximum value of the function f(x, y, z) = x + 2y + 9z on the curve of intersection of the plane x − y + z =

geniusboy [140]

The Lagrangian,

$L(x,y,z,\lambda,\mu)=x+2y+9z-\lambda(x-y+z-1)-\mu(x^2+y^2-1)$

has critical points where its partial derivatives vanish:

$L_x=1-\lambda-2\mu x=0$

$L_y=2+\lambda-2\mu y=0$

$L_z=9-\lambda=0$

$L_\lambda=x-y+z-1=0$

$L_\mu=x^2+y^2-1=0$

$L_z=0$ tells us $\lambda=9$ , so that

$L_x=0\implies-8-2\mu x=0\implies x=-\dfrac4\mu$

$L_y=0\implies11-2\mu y=0\implies y=\dfrac{11}{2\mu}$

Then with $L_\mu=0$ , we get

$x^2+y^2=\dfrac{16}{\mu^2}+\dfrac{121}{4\mu^2}=1\implies\mu=\pm\dfrac{\sqrt{185}}2$

and $L_\lambda=0$ tells us

$x-y+z=-\dfrac4\mu-\dfrac{11}{2\mu}+z=1\implies z=1+\dfrac{19}{2\mu}$

Then there are two critical points, $\left(\pm\frac8{\sqrt{185}},\mp\frac{11}{\sqrt{185}},1\pm\frac{19}{\sqrt{185}}\right)$ . The critical point with the negative $x$ -coordinates gives the maximum value, $9+\sqrt{185}$ .

8 0

3 years ago

A farmer wants to net at least $10,000/acre on the sale of his 80-acre property. If he allows for a total of 10% for commissions

lara [203]

Answer:

$11,111.11

Step-by-step explanation:

Net Money farmer wanted to get the on selling 1 acre = $10,000

Percentage of commission and closing cost incurred by him = 10%

out of 100 %, he will incur cost of 10%,

rest of them will be with him.

In percentage money he would have be = (100 - 10)% = 90%

Thus, 90 % will be net money he would have.

Let the list price be $x

Given that 90% of this $x will be with farmer which is equal to

90% of x = 90/100 * x = 0.9 x

It is given that he wants to net $10000

so 0.9x = $10,000

=> x = $10,000/0.9 = $11,111.11.

Listing price per acre should be at least $11,111.11.

5 0

3 years ago

What is the area of this triangle? Enter your answer as a decimal in the box. Round only your final answer to the nearest hundre

nika2105 [10]

Answer:

Area of the triangle $\simeq$ 5.9 sq. ft. .

Step-by-step explanation:

Length of two sides of the triangle are, 2.7 feet and 3.4 feet and the angle between them is 40° .

So, the area of the triangle is given by,

$2.7 \times 3.4 \times \sin {40^{\circ}}$ sq. ft.

$\simeq 5.9$ sq. ft.

6 0

3 years ago

Read 2 more answers

A glacier that was 1,076 meters thick change in thickness at an average rate of -22.7 meter per year for 7 years.

-Dominant- [34]

1,076 (the original thickness) - 22.7 meters (loss per year) * 7 (lost 22.7 meters per year for seven years, so multiply the loss per year by the amount of years) = 917.1 (the size after 7 years)

A.K.A 1,076 - 22.7 * 7 = 917.1

i found this off of the internet so im sorry if its wrong

6 0

3 years ago