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2 years ago

Solve the following:

Mathematics

2 answers:

GrogVix [38]2 years ago

7 0

The answer you are looking for is 2& 3/10

arlik [135]2 years ago

4 0

2 3/10
5 1/10 - 2 8/10
You can’t subtract 1/10 by 8/10 so you regroup
The 5 turns into a 4 and 1/10 turns into 11/10
New equation would be 4 11/10 - 2 8/10 = 2 3/10

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A piece of wire of length 7070 is cut, and the resulting two pieces are formed to make a circle and a square. Where should the

lyudmila [28]

Answer:

a.x=39.2

b.Use whole wire as a circle

Step-by-step explanation:

We are given that

Length of piece of wire=70 units

Let length of wire used to make a square =x units

Length of wire used in circle=70- x

Side of square= $\frac{perimeter\;of\;square}{4}=\frac{x}{4}$

Circumference of circle= $2\pi r$

$70-x=2\pi r$

$r=\frac{70-x}{2\pi}$

Combined area of circle and square,A= $(\frac{x}{4})^2+\pi(\frac{70-x}{2\pi})^2$

Using the formula

Area of circle= $\pi r^2$

Area of square= $(side)^2$

a. $A=\frac{x^2}{16}+\frac{4900+x^2-140x}{4\pi}$

Differentiate w.r.t x

$\frac{dA}{dx}=\frac{x}{8}+\frac{2x-140}{4\pi}$

$\frac{dA}{dx}=0$

$\frac{x}{8}+\frac{2x-140}{4\pi}=0$

$\frac{\pi x+4x-280}{4\pi}=0$

$\pi x+4x-280=0$

$x(\pi+4)=280$

$x=\frac{280}{\pi+4}$

x=39.2

Again differentiate w.r.t x

$\frac{d^2A}{dx^2}=\frac{1}{8}+\frac{1}{2\pi}$ >0

Hence, the combined area of circle and the square is minimum at x=39.2

b.When the wire is not cut and whole wire used as a circle . Then, combined area is maximum.

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3 years ago

what is the opportunity cost of buying a $.75 soda every school day for three years instead of drinking water? assume you are in

11Alexandr11 [23.1K]

Answer:

I don't understand your question

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3 years ago

Lught herzu <br><img src="https://tex.z-dn.net/?f=%20%7Bx%7D%5E%20%7B2%7D%20%20-%20xy%20%2B%20%20%7Bx%7D%5E%7B2%7D%20%20%20-%20x

Andrej [43]

Answer:

sry I can't understand how to do this question

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2 years ago

Read 2 more answers

Find the slope of the line through the given points.<br> (8,0) and (10, 10)

postnew [5]

Slope (y2-y1)/(x2-x1)
(10-0)/(10-8) = 10/2 = 5
The slope is 5

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2 years ago

Why is 25 mg lighter than 25 cg

Mashutka [201]

25 mg is lighter than 25 cg because mg is 0.001 g and cg is 0.01 g :)

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2 years ago