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3 years ago

If you can help thanks!!!!!!!!

Mathematics

2 answers:

m_a_m_a [10]3 years ago

5 0

Answer:

Step-by-step explanation:

Side length = square root of 8100

miskamm [114]3 years ago

3 0

Divide 8100 square feet by four because a square has four equal sides

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A farm raises pigs chickens the farmer has total of 102animals one day he counts the legs of all his animals and realizes he has

Mrac [35]

Answer:

The number of pigs the farmer has is 47

Step-by-step explanation:

Assume that the number of pigs is x and the number of chickens is y

∵ The farmer has 102 animals

∵ The number of pigs is x

∵ The number of chickens is y

→ Add them and equate the sum by 102

∴ x + y = 102 ⇒ (1)

∵ Each pig has 4 legs

∴ The number of legs of all pigs is 4x

∵ Each chicken has 2 legs

∴ The number of legs of all chickens is 2y

∵ He has a total of 298 legs

→ Add 4x and 2y, then equate the sum by 298

∴ 4x + 2y = 298 ⇒ (2)

Now we have a system of equations to solve it

→ Multiply equation (1) by -2 to make the coefficients of y equal in values

and opposite in signs

∵ -2(x) + -2(y) = -2(102)

∴ -2x - 2y = -204 ⇒ (3)

→ Add equations (2) and (3)

∵ (4x + -2x) + (2y + -2y) = (298 + -204)

∴ 2x + 0 = 94

∴ 2x = 94

→ Divide both sides by 2 to find x

∴ x = 47

∴ The number of pigs the farmer has is 47

8 0

3 years ago

Deny develops a new version of Fortnite and becomes a

Alexandra [31]

Answer:

he saved 17.6%

3 0

3 years ago

Find the missing variable for a parallelogram: A = 28in2 h = b = 6.3 in (1in=2.54cm)

aivan3 [116]

The formula of an area of parallelogram:

$A=bh$

We have

$b=6.3\ in$ and $A=28\ in^2$

Substitute:

$6.3h=28$ divide both sides by 6.3

$h=\dfrac{28}{6.3}\\\\h=\dfrac{280}{63}\\\\h=4\dfrac{28}{63}\\\\h=4\dfrac{28:7}{63:7}\\\\h=4\dfrac{4}{9}$

Answer: $h=4\dfrac{4}{9}\ in$

4 0

4 years ago

Anyone good at equation of straight lines? (Addmaths) help me!

SSSSS [86.1K]

Y = mx + c

where:

m is the gradient

and c is the y intercept

8 0

3 years ago

Find the absolute maximum and minimum values of f(x,y)=xy−4x in the region bounded by the x-axis and the parabola y=16−x2.

skad [1K]

Answer:

The absolute maximum and minimum is $20\; \text{and} -20.$

Step-by-step explanation:

We first check the critical points on the interior of the domain using the

first derivative test.

$f_x=y-4=0$

$f_y=x=0$

The only solution to this system of equations is the point (0, 4), which lies in the domain.

$f_{xx}=0, \;f_{yy}=0\; \text{and}\; f_{xy}=-1$

$\Rightarrow f_{xx}f_{yy}-f_{xy}=o-1=-1$

$\therefore (0,4)$ is a saddle point.

Boundary points - $(4,0), (-4,0), (0,16)$

Along boundary $y=16-x^2$

$f=x(16-x^2)-4x$

$=16x-x^3-4x$

$\Rightarrow f^'=16-3x^2-4=0$

$\Rightarrow 3x^2=12$

$\Rightarrow x=\pm2,\;\;y=14$

Values of f(x) at these points.

$\begin{array}{}(4,0)=-16\\(-4,0)=16\\(0,16)=0\\(2,14)=20\\(-2,14)=-20\end{array}$

Therefore, the absolute maximum and minimum is $20\; \text{and} -20.$

6 0

4 years ago

If you can help thanks!!!!!!!!​

If you can help thanks!!!!!!!!