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2 years ago

The picture shows a box sliding down a ramp.

Mathematics

2 answers:

forsale [732]2 years ago

8 0

In your question where as the picture shows a box sliding down a ramp and ask to calculate the distance, in feet, that the box has to travel to move form point A to point C and the best answer would be 12 cosec 65. I hope you are satistfied with my answer and if you need some clarification, please feel free to ask for more

bija089 [108]2 years ago

6 0

Answer:

$AC=12cosec(65\°)\ ft$

Step-by-step explanation:

we know that

In the right triangle ABC

$sin(65\°)=\frac{AB}{AC}$

In this problem we have

$AB=12\ ft$

Substitute and solve for AC

$sin(65\°)=\frac{12}{AC}$

$AC=\frac{12}{sin(65\°)}$

Remember that

$cosec(65\°)=\frac{1}{sin(65\°)}$

substitute

$AC=12cosec(65\°)\ ft$

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1566 cans with all cans combined

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3 years ago

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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)

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3 years ago

During the last ten years oliver has played 1200 games of chess oliver has drawn 6% of the games he has lost 33% of the game cal

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Answer:

6+33=39 now we subtract from 100

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2 years ago

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Answer:

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Step-by-step explanation:

To convert 1.68 to a percentage, multiply the number 1.68 by 100.

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Answer:

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