Answer: L = 36 feet approximately
The more accurate value is 35.9547644 feet, but this approximate value isn't exact either.
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Explanation:
Ignore the vertical line and any byproducts of it.
Refer to the diagram below. Note that the 95 degree angle is from 15+80 = 95.
We can use the law of sines like so
sin(A)/a = sin(B)/b
sin(75)/200 = sin(10)/L
L*sin(75) = 200*sin(10)
L = 200*sin(10)/sin(75)
L = 35.9547644 which is approximate.
This rounds to roughly 36 feet when rounding to the nearest whole number.
Side note: We never use angle C = 95, and its opposite side.
Answer: ![f(4a)=\frac{4a+6}{16a^2+1}](https://tex.z-dn.net/?f=f%284a%29%3D%5Cfrac%7B4a%2B6%7D%7B16a%5E2%2B1%7D)
Step-by-step explanation:
f(4a) means everything you see x, plug that in with 4a. Doing that exactly so, we can see that below.
[plug in x=4a]
[exponent]
![f(4a)=\frac{4a+6}{16a^2+1}](https://tex.z-dn.net/?f=f%284a%29%3D%5Cfrac%7B4a%2B6%7D%7B16a%5E2%2B1%7D)
Since this cannot be simplified,
is our answer.
Answer:
8.7
Step-by-step explanation:
formula
d = sqrt(s^2 + s^2 + s^2)
d = sqrt(3*5^2)
d = sqrt(75)
d = 8.7
Where did I get the formula? If the cube sits on one of its faces then the diagonal of that face is sqrt(s^2 + s^2) = sqrt(2s^2)
Now to get the third s^2, you have to realize the the diagonal you calculated in the previous remark is one of the legs for the cube's corner to corner diagonal. The other leg is the height squared which is also s^2.
I think that there are 25 kilograms in 2500 dekagrams
I highly recommend using the unit circle; the answer is 1/2.