What is pi times 275.78 minus 23 divided by 2?

Mathematics

2 answers:

strojnjashka [21]3 years ago

6 0

Answer is 854.888422

854.89

LUCKY_DIMON [66]3 years ago

6 0

Answer:

854.888422

Step-by-step explanation:

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Which of the following is a polynomial with roots 4, 2i, and −2i?

alexira [117]

If the roots are r1,r2,r3, the facotred polynomail looksl ike this
f(x)=(x-r1)(x-r2)(x-r3)

given
roots 4,2i and -2i

f(x)=(x-4)(x-2i)(x-(-2i))
f(x)=(x-4)(x-2i)(x+2i)
expand
f(x)=x³-4x²+4x-16
3rd option

5 0

3 years ago

a 16 inch wire is to be cut. one piece is to be bent into the shape of a square, whereas the other piece is to be bent into the

Lyrx [107]

1. Let x be a length of square side, then the square perimeter is 4x (you need to cut 4x from 16 in. to make a square with side x in.). Then 16-4x is remained length of wire and you have to make form this piece a rectangle with sides one of which is twice bigger than another. If y is length of the smaller side, then 2y is length of the bigger side and rectangle perimeter is y+2y+y+2y=6y. You have 16-4x in. of wire left, so 6y=16-4x and $y= \frac{16-4x}{6}$ .

2.
$A_{square}=x^2 \\ A_{rectangle}=y\cdot 2y=\frac{16-4x}{6}\cdot2\cdot\frac{16-4x}{6}= \frac{(16-4x)^2}{18} \\ A(x)=A_{square}+A_{rectangle}=x^2+\frac{(16-4x)^2}{18}$ .

3. Find the derivative of the function A(x):
$A'(x)=2x+ \dfrac{2(16-4x)\cdot(-4)}{18} =2x- \dfrac{4(16-4x )}{9}$ .

4. Solve the equation A'(x)=0:
$2x- \dfrac{4(16-4x )}{9}=0 \\ 18x-64+16x=0 \\ 34x=64 \\ x= \frac{32}{17}$

5. Since $y= \frac{16-4x}{6}$ you have

$y= \dfrac{16-4 \frac{32}{17} }{6} = \dfrac{16\cdot17-4\cdot32}{6\cdot 17} = \dfrac{24}{17}$ .

Answer: <span>the width of the rectangle is $\frac{24}{17}$ </span>

6 0

3 years ago

Please helpppppppppp

Thepotemich [5.8K]

Answer:

1 4/5

Step-by-step explanation:

On the number line, for every whole integer, the line is divided into fifths. The dot is one fifth away from the number two. Therefore, it is 4/5 in from 1 and the answer is 1 $\frac{4}{5}$ .