Answer:
14
Step-by-step explanation:
The law of cosines is a² = b²+c²-2bc(cos A).
We will use s in place of a, since it is the unknown side. This makes b and c 8 and 9.
Angle A will be the angle opposite side a, or in this case side s. This makes it 111.
This gives us
s² = 8²+9²-2(8)(9)(cos 111)
s² = 64+81-2(8)(9)(cos 111)
s² = 145-144(cos 111)
s² = 196.605
Take the square root of each side:
√(s²) = √(196.605)
s = 14.02 ≈ 14
19.2
To find the hypotenuse the equation would be: a^2 + b^2 = c^2.
12 squared is 144 and 15 squared is 225. Add them and you get 369. Then, square root 369 to isolate c. It'd be about 19.2
The answer is 23.2 I just entered the data into an online standard deviation calculator.
Answer:
![\sqrt[3]{0.000004913}=0.017](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B0.000004913%7D%3D0.017)
Step-by-step explanation:
<u>Cubic Root
</u>
The cubic root of a number N is M, if
It's usually tedious to manually compute cubic roots, but if we use some basic algebra concepts, the job is easily done.
Let's compute
![M=\sqrt[3]{0.000004913}](https://tex.z-dn.net/?f=M%3D%5Csqrt%5B3%5D%7B0.000004913%7D)
The argument can be expressed in scientific notation as
The power of 10 has an exact cubic root since the exponent is a multiple of 3. To find the cubic root of the mantissa, we note it's the triple product of 17, i.e.
Thus our number is
![M=\sqrt[3]{17^3\ 10^{-9}}=17\ 10^{-3}=0.017](https://tex.z-dn.net/?f=M%3D%5Csqrt%5B3%5D%7B17%5E3%5C%2010%5E%7B-9%7D%7D%3D17%5C%2010%5E%7B-3%7D%3D0.017)
We have then
![\boxed{\sqrt[3]{0.000004913}=0.017}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Csqrt%5B3%5D%7B0.000004913%7D%3D0.017%7D)
