Answer:
0.08
Step-by-step explanation:
![{5}^{ - 2} \times \sqrt[3]{8} \\ \\ = {5}^{ - 2} \times \sqrt[3]{ {2}^{3} } \\ \\ = \frac{1}{ {5}^{2} } \times 2 \\ \\ = \frac{1}{25} \times 2 \\ \\ = \frac{2}{25} \\ \\ =0.08](https://tex.z-dn.net/?f=%20%7B5%7D%5E%7B%20-%202%7D%20%20%5Ctimes%20%20%5Csqrt%5B3%5D%7B8%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%7B5%7D%5E%7B%20-%202%7D%20%20%5Ctimes%20%20%5Csqrt%5B3%5D%7B%20%7B2%7D%5E%7B3%7D%20%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B1%7D%7B%20%7B5%7D%5E%7B2%7D%20%7D%20%20%5Ctimes%202%20%5C%5C%20%20%5C%5C%20%20%20%3D%20%5Cfrac%7B1%7D%7B25%7D%20%20%5Ctimes%202%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B2%7D%7B25%7D%20%5C%5C%20%5C%5C%20%3D0.08)
Answer:
x ≈ 36.9°
Step-by-step explanation:
Using the sine ratio in the right triangle, that is
sinx =
=
, then
x =
(
) ≈ 36.9° ( to 1 dec. place )
1cm = 10mm
then 0.46cm = 0.46*10 = 4.6mm
You can dispose a number
of elements in a matrix-like formation with
shape if and only if
and
both divide
, and also
.
So, we need to find the greatest common divisor between
and
, so that we can use that divisor as the number of columns, and then.
To do so, we need to find the prime factorization of the two numbers:


So, the two numbers share only one prime in their factorization, namely
, but we can't take "too many" of them:
has "three two's" inside, while
has "five two's" inside. So, we can take at most "three two's" to make sure that it is a common divisor. As for the other primes, we can't include
nor
, because it's not a shared prime.
So, the greater number of columns is
, which yield the following formations:

