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Pavel [41]
2 years ago
8

A carpenter has a board that is 10 feet long. He wants to make 6 table legs that are all the same length. What is the longest ea

ch leg can be?
Mathematics
2 answers:
Crank2 years ago
8 0
First, you would need to create an equation for this problem. 
10 ft ÷ 6 
<span>
Now, all you would have to do is solve it. 
</span>10 ft ÷ 6 = 1.66666666667 ft<span>

The longest each leg can be is </span><span>1.66666666667 ft. 
But, if you want it rounded to the nearest foot, each leg would be 1 ft long. 

I hope this helps!</span>
Zielflug [23.3K]2 years ago
3 0
1 board that is 10 feet long and make that into 6 table legs. Take the amount we have over the amount we want, so 10 over 6 which is 1.6666667 feet which is the longest each leg can be for a 10-foot board.
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A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 500 feet. Determine the flag’s length an
Lyrx [107]
The width is w
The length is w + 70
Perimeter: p = 2(l + w) and =500
Substitute what you know:
500 = 2(w+ 70 + w)
Combine like terms:
500 = 2( 2w + 70)
Distribute 2 to both terms
500=4w-140
640 = 4w
w = 640/4 = 160 feet L= w +70= 160 + 70= 230 ft.


6 0
3 years ago
In the square below the four quarter circles are congruent. find the area of the shaded region.
Alexus [3.1K]
The quarter circle pieces are all congruent allowing us to glue them together to form a circle. The circle will be completely inside the square. This circle is as large as possible so it's not spilling outside of the square. 

The area of the square is 8*8 = 64 square units

The circle has a radius of 8/2 = 4 units. Use r = 4 and plug this into the area of a circle formula
A = pi*r^2
A = pi*4^2
A = pi*16
A = 16pi

Now subtract the two areas
(area of square) - (area of circle) = 64 - 16pi

The exact answer, in terms of pi, is 64 - 16pi

If your teacher wants you to find the approximate decimal version, then you would use a calculator to find that 64 - 16pi = 13.7345175 approximately. If you end up going with the approximate answer, be sure to follow the instructions on what your teacher wants with rounding.
5 0
2 years ago
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Ilia_Sergeevich [38]

Answer: 39

Step-by-step explanation:

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7 0
2 years ago
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The average annual rainfall in California is 0.564 of a meter per year. What is the value of the digit 4 in that number
dolphi86 [110]
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2 years ago
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When two objects reach the same time-space coordinates, they generally collide with each other. How is this different from what
nikklg [1K]

Answer:

Waves superimpose upon each other when they collide, while objects do not

Step-by-step explanation:

The main difference between the collision of waves and the collision of objects is simply the superposition principle.

When waves collide, they do not do so in the same way objects do. The superposition principle explains that waves can either collide in a constructive or destructive manner.

Case A: Waves colliding in a constructive manner

When waves collide in a constructive manner, this means that they are in phase, in simpler terms, it means that they have the same shape as they move through space-time. Constructive collision leads to a formation of a bigger wave with a higher amplitude. This is how stereo speakers operate. They produce louder sounds by releasing the same audio waves, causing them to superimpose upon each other.

Case B: Waves colliding in a destructive manner:

When waves are out of phase(i.e do not have the same shape as they move through space-time) and they collide, they try to cancel each other out, leading to a new wave with a weaker amplitude. This is how noise-cancelling headphones work. They emit an equal and opposite wave sound to the noise around your ears, thus cancelling it out.

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3 years ago
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