To estimate the volume of the chord of wood, since the wood exists cut into equal lengths and stacked evenly in a rack then we can use a cylinder as a model.
<h3>What is a cylinder?</h3>
In mathematics, a cylinder exists as a three-dimensional solid that holds two parallel bases joined by a curved surface, at a fixed distance. These bases exist normally circular (like a circle) and the center of the two bases exists joined by a line segment, which exists named the axis.
A cylinder exists as a closed solid that contains two parallel circular bases joined by a curved surface.
To calculate the volume of the chord of wood, since the wood exists cut into equal lengths and stacked evenly in a rack then we can use a cylinder as a model.
To learn more about cylinders refer to:
brainly.com/question/8531193
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Answer:
2×10−4
Step-by-step explanation:
To change 0.0002 to scientific notation, move the decimal to the right 4 places so that you get 2. The exponent on the base 10 will be -4 because the decimal was moved to the right 4 places
Answer:
![\boxed {\boxed {\sf 14.2 \ cm}}](https://tex.z-dn.net/?f=%5Cboxed%20%7B%5Cboxed%20%7B%5Csf%2014.2%20%5C%20cm%7D%7D)
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean Theorem to solve for the sides.
![a^2+b^2=c^2](https://tex.z-dn.net/?f=a%5E2%2Bb%5E2%3Dc%5E2)
where <em>a</em> and<em> b</em> are the legs and <em>c</em> is the hypotenuse. In this triangle, we know the legs are 9 centimeters and 11 centimeters, or:
Substitute these values into the formula.
![(9 \ cm)^{2} +(11 \ cm)^{2} =c^{2}](https://tex.z-dn.net/?f=%289%20%5C%20cm%29%5E%7B2%7D%20%20%2B%2811%20%5C%20cm%29%5E%7B2%7D%20%3Dc%5E%7B2%7D)
Solve the exponents.
- (9 cm)²= 9 cm*9 cm=81 cm²
![81 \ cm^{2} +(11 \ cm)^{2} =c^{2}](https://tex.z-dn.net/?f=81%20%5C%20cm%5E%7B2%7D%20%20%2B%2811%20%5C%20cm%29%5E%7B2%7D%20%3Dc%5E%7B2%7D)
- (11 cm)²= 11 cm*11 cm= 121 cm²
![81 \ cm^{2} +121 cm^{2} =c^{2}](https://tex.z-dn.net/?f=81%20%5C%20cm%5E%7B2%7D%20%20%2B121%20cm%5E%7B2%7D%20%3Dc%5E%7B2%7D)
Add the values on the left side.
![202 \ cm^{2} =c^{2}](https://tex.z-dn.net/?f=202%20%5C%20cm%5E%7B2%7D%20%3Dc%5E%7B2%7D)
Since we are solving for c, we must isolate the variable. It is being squared and the inverse of a square is the square root. Take the square root of both sides.
![\sqrt {202 \ cm^{2} }=\sqrt{c^{2} }](https://tex.z-dn.net/?f=%5Csqrt%20%7B202%20%5C%20cm%5E%7B2%7D%20%7D%3D%5Csqrt%7Bc%5E%7B2%7D%20%7D)
![\sqrt {202 \ cm^{2} }=c](https://tex.z-dn.net/?f=%5Csqrt%20%7B202%20%5C%20cm%5E%7B2%7D%20%7D%3Dc)
![14.2126704036 \ cm =c](https://tex.z-dn.net/?f=14.2126704036%20%5C%20cm%20%3Dc)
We are told to round to the nearest tenth.
The 1 in the hundredth place tells us to leave the 2 in the tenth place.
![14.2 \ cm= c](https://tex.z-dn.net/?f=14.2%20%5C%20cm%3D%20c)
The hypotenuse is equal to <u>14.2 centimeters.</u>
Step-by-step explanation:
Simplest form=10/30=1/3
=1cm:3cm
Simplest form=2cm:1m
1m=100cm
2:100
2/100=1/50
1cm:50cm