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2 years ago

5

Which holds the more capacity 0.75 litres or 350ml

1 answer:

RSB [31]2 years ago

6 0

Answer:

0.75 liters

Step-by-step explanation:

1000ml in 1 liter so 0.75*1000=750ml

750ml > 350ml

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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

Rolling a number less than 6 on a number cube labeled 1 through 6

marysya [2.9K]

Answer:

Any number from 1-5

Step-by-step explanation:

Less than 6!

6 0

3 years ago

Ummm i don’t understand these I just started can someone help

bixtya [17]

so for question 2 find the area of the rectangle first:

$15 \times 19 = 285$

then you find the area of the triangles:

$15 \times 13 = 195 \\ 195 \div 2 = 97.5$

$15 \times 11 = 165 \\ 165 \div 2 = 82.5$

Add up all the answers:

$285 + 97.5 + 82.5 = 465$

and for question 3, part A, you just find the area of the 2 boxes and multiply:

$5 \times 5 = 25 \\ 25 \times 2 = 50$

$2 \times 5 = 10 \\ 10 \times 4 = 40$

$40 + 50 = 90$

so the surface area of the box is 90 square inches therefore the paint covered 90 square inches. For part B, just add up the length of the thick black lines:

$5 + 5 + 5 + 5 + 2 + 5 + 5 + 5 + 5 + 5 + 5 + 2 + 5 + 5 = 64$

How these helped have a good day

8 0

3 years ago

If a number cube is rolled, how many times would we expect to get a number greater than 4 out of 240 trials?

Elanso [62]

89 I think because I took the test

7 0

3 years ago

Read 2 more answers

bonufazy [111]

Answer:

$\underline{ \boxed{z\overline{z} = 34}}$

Step-by-step explanation:

$if \: z = -3 + 5i \\then \: \overline{z} = - (3 + 5i) \\ hence \: z\overline{z} = (-3 + 5i)( - 3 - 5i) \\ z\overline{z} = 9 + 15i - 15i - {(5i)}^{2} \\ z\overline{z} = 9 - (25 ){i}^{2} \\ z\overline{z} = 9 - (25)( - 1) \\ z\overline{z} = 9 + 25 \\ \underline{ \boxed{z\overline{z} = 34}}$

♨Rage♨

7 0

2 years ago

Read 2 more answers