We could find x by finding the leg of the implied triangle.
We could use Pythagorean’s theorem for this
a^2 + b^2 = c^2
Plug in values
(17)^2 + b^2 = (19)^2
289 + b^2 = 361
b = 6 square root 2
We multiply this by two because there are two of these
This makes it 12 square root 2
Subtract this from 31
This will be 31-12 sqrt 2 or 14.029437...
Answer:
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Answer:
1. 55.271 inches/lb
2. 3.075 inches/lb
3. The denser one is the pine, so it would be heavier.
Step-by-step explanation:
1. density of the pine log (which is a cylinder)
We need the weight/mass and the volume.
V(cylinder) = πr^2 * height
= πr^2 = π(5^2) = 25π = 78.54
= 78.54 * 30 = <u>2356 cubic inches</u>
The weight is 42.63.
Density = mass/volume = 2356/42.63 = <u>55.271 inches/lb</u>
2. density of the oak board (which is a rectangular prism)
We need the weight/mass and the volume.
V(prism) = l*w*h
= 5.5*1.5*3 = <u>24.75 cubic inches</u>
The weight is 8.05.
Density = mass/volume = 24.75/8.05 = <u>3.075 inches/lb</u>
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3. Picture a box made out of stone and a box made out of cardboard. Same dimensions, but the stone one would be way heavier because stone is denser.