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2 years ago

^^^Can someone help ^^^

Mathematics

1 answer:

alex41 [277]2 years ago

3 0

Answer is 1.6

Because you can see the shape with the side of 5 is bigger than the shape with the side with the 3, so you divide the bigger by the smaller
5 / 3 = 1.6

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A pigpen is to be enclosed using 640 m of fencing along three of its sides, the fourth side being a barn. Determine the dimensio

Basile [38]

Answer:

$W_{max}=480m\\ L_{max}=160m$

Step-by-step explanation:

Since we know we only have 640 feet of fence available, we know that L + W + L = 640, $\implies$ 2L + W = 640. This allows us to represent the width, W, in terms of L: W = 640 – 2L

Remember, the area of a rectangle is equal to the product of its width and length, therefore,

$A_{\rm pigpen}=L(640-2L)\implies 640L-2L^2$

Notice that, quadratic has been vertically reflected, since the coefficient on the squared term is negative, so the graph will open downwards, and the vertex will be a maximum value for the area.

recall,

$x_{max}=-b/2a$
$f(x)_{max}=f(x_{max})$

Since our function is A(L)=640L-2L², we get

a=-2
b=640

plug in the value of a and b into the first formula:

$L_{max}=-(640)/2(-2)\implies 160$

$A(L)_{max}=640(160)-2(160)^2\implies 76800$

hence,the dimensions of the pen that will maximize the area are L=160m and W=76800/160=480m

and we're done!

3 0

2 years ago

What is (0.54)⋅(3.8)=

ra1l [238]

Answer:

2.052

Step-by-step explanation:

I hope it helped lot sj

8 0

2 years ago

Read 2 more answers

If a dog has 2,000,000 toys and he gives 900,000 away. Then gets 2,000 more, also looses 2,000,000. He's sad but then also got 5

Sergeu [11.5K]

Answer:

See below.

Step-by-step explanation:

He does not have enough to loose 2,000,000 at that point, so this whole problem is nonsense.

5 0

3 years ago

A prism with a volume of 148 cubic cm is dilated by a factor of 5.5.

OLEGan [10]

volume = 148 × 5.5 cube

= 24623.5 cubic cm

3 0

2 years ago

Let f(x)=3x-6. Is f one-to-one? If it is find f^-1, if not explain why.

beks73 [17]

Answer: Yes, $\bold{f^{-1}(x)=\dfrac{x+6}{3}}$

Step-by-step explanation:

f(x) = 3x - 6 is a line so it is a function because

it passes the vertical line test

and the horizontal line test

To find the inverse, swap the x's and y's and solve for y

$y=3x-6\\\\\\\text{Swap the x's and y's:}\qquad x=3y-6\\\\\text{Add 6 to both sides:}\qquad x+6=3y\\\\\text{Divide both sides by 3:}\qquad \dfrac{x+6}{3}=y$

8 0

2 years ago