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salantis [7]
3 years ago
6

Which of the answer choices is a multiple of 4 select all that apply

Mathematics
2 answers:
lions [1.4K]3 years ago
7 0
12 16 14 or 20 are the answers
Finger [1]3 years ago
6 0

Answer:

12, 16, 20

Step-by-step explanation:

For this question the answer will be 12, 16 and 20.

4 times 3 is 12

4 times 4 is 16

4 times 5 is 20

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Steve likes to entertain friends at parties with "wire tricks." Suppose he takes a piece of wire 60 inches long and cuts it into
Alex_Xolod [135]

Answer:

a) the length of the wire for the circle = (\frac{60\pi }{\pi+4}) in

b)the length of the wire for the square = (\frac{240}{\pi+4}) in

c) the smallest possible area = 126.02 in² into two decimal places

Step-by-step explanation:

If one piece of wire for the square is y; and another piece of wire for circle is (60-y).

Then; we can say; let the side of the square be b

so 4(b)=y

         b=\frac{y}{4}

Area of the square which is L² can now be said to be;

A_S=(\frac{y}{4})^2 = \frac{y^2}{16}

On the otherhand; let the radius (r) of the  circle be;

2πr = 60-y

r = \frac{60-y}{2\pi }

Area of the circle which is πr² can now be;

A_C= \pi (\frac{60-y}{2\pi } )^2

     =( \frac{60-y}{4\pi } )^2

Total Area (A);

A = A_S+A_C

   = \frac{y^2}{16} +(\frac{60-y}{4\pi } )^2

For the smallest possible area; \frac{dA}{dy}=0

∴ \frac{2y}{16}+\frac{2(60-y)(-1)}{4\pi}=0

If we divide through with (2) and each entity move to the opposite side; we have:

\frac{y}{18}=\frac{(60-y)}{2\pi}

By cross multiplying; we have:

2πy = 480 - 8y

collect like terms

(2π + 8) y = 480

which can be reduced to (π + 4)y = 240 by dividing through with 2

y= \frac{240}{\pi+4}

∴ since y= \frac{240}{\pi+4}, we can determine for the length of the circle ;

60-y can now be;

= 60-\frac{240}{\pi+4}

= \frac{(\pi+4)*60-240}{\pi+40}

= \frac{60\pi+240-240}{\pi+4}

= (\frac{60\pi}{\pi+4})in

also, the length of wire for the square  (y) ; y= (\frac{240}{\pi+4})in

The smallest possible area (A) = \frac{1}{16} (\frac{240}{\pi+4})^2+(\frac{60\pi}{\pi+y})^2(\frac{1}{4\pi})

= 126.0223095 in²

≅ 126.02 in² ( to two decimal places)

4 0
3 years ago
Diego played chess for 30 minutes. He stopped playing at 5:49 PM move the numbers to the Clock to show what time he started play
Sidana [21]

Answer:

He strated at 5:19 PM

Step-by-step explanation:

Have a Nice Day!

6 0
3 years ago
Read 2 more answers
Work out m and c for the line: y = 4 x − 1
vaieri [72.5K]

Answer:

m=4 and c=-1

Step-by-step explanation:

I'm assuming that m is the slope and c is the y-intercept. (If this is not the case, please tell me and I'll fix my answer).

The equation is already in the form y=mx+c so you just take the numbers from the problem y=4x-1.

6 0
2 years ago
Read 2 more answers
Consider this statement:For every 2 boys,there are 4 girls.Do you agree with the statement? Explain
OverLord2011 [107]
I don't quite understand what you mean but I'll give it a shot

I would say no, I do not agree, because the population of men and women in the world is almost completely equal, so in reality, there are not 2 boys for every 4 girls.
5 0
3 years ago
Which binomial is a factor of 9x^2-64
larisa86 [58]
This is an example of a factor pattern called the Difference of Two Squares.

A^2-B^2=(A+B)(A-B)

What is playing the role of A?  What do you square to get 9x^2? That would be 3x.

What is playing the role of B? What do you square to get 64? That would be 8.

Your expression factors as (3x+8)(3x-8)
5 0
3 years ago
Read 2 more answers
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