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3 years ago

What is 7 2/3 + 8 5/6

Mathematics

2 answers:

Archy [21]3 years ago

7 0

7 2/3 + 8 5/6 = 16 1/2 ( or 32/2 )

lbvjy [14]3 years ago

6 0

Exact form: 33/2
decimal form: 16.5
mixed number form: 16 1/2
Hope this helps!

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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

4 years ago

Does anyone know how to solve this??

sergij07 [2.7K]

Volume of a cone = (1/3) x Area of the base (B) x height(h)
V = (1/3)·420·180
= 25200 mm³

8 0

3 years ago

e and also buy tickets they can use for food or rides. Gwen pays the entry fee and buys 10 tickets. It costs her a total of $30.

pogonyaev

Answer:

For Gwen:-

x + 10y = 30

x + 15y = 40 - Tristan

if we subtract the above equations:-

we get

5y = 10

y = 2

That is the cost of each ticket is $2.

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

13) The side length of the following cube is 8 cm. what is the length of the diagonal through its center?

Scorpion4ik [409]

Answer: $\sqrt{3}$ x 8 = 13.8564064606

Step-by-step explanation: The main diagonal of any cube can be found by multiplying the length of one side by the square root of 3 ( $\sqrt{3}$ ). Therefore, square root 3 ( $\sqrt{3}$ ) is multiplied by the length (8 in our case) of either 6 faces of the cube.

Hope it helped!

5 0

3 years ago

Read 2 more answers

Which pair of number has the least common multiple of 12

liraira [26]

Answer:

3 and 4.

Step-by-step explanation:

3 * 2 *2 = 12.

So 3 and 4 have an LCM of 12.

5 0

3 years ago