Answer:
Step-by-step explanation:
As for the angles of both triangles; they’re the same. The sides are 1:2.
I’m giving you formulas that are labeled: side a shortest
” b mid length
” c hypotenuse
angle α(alpha) opposite side a
” β(beta) ” ” b
” γ(gamma) ” ” c
A major formula for rt triangles is: a^2+b^2=c^2.
*Another is: a/sinα=b/sinβ=c/sinγ.
Remember α+β+γ=180°.
As for sides a&b use the above formula.
As for <ACB; the angle is γ which is a rt <.
Given: tan<x=5/2+1/2=6/2=3atan=71.565……….°=β. So α=18.44…….°. γ= rt angle.
To get the sides use the formulas at *.
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:
Answer:
The answers of the questions are given below :
- a) = 4096
- b) = 1.25
- 3) = m²
- 4) = r⁴s³
- 5) = a⁸/b¹²
Step-by-step explanation:
Question. 1
>> 4⁶
- Hence, the answer is 4096.
Question. 2
>> (2⁶/5³)^-⅓
![\begin{gathered} \qquad\implies{\bigg(\frac{2^6}{5^3}\bigg)^{ - \frac{1}{3}}}\\ \\ \qquad\implies{\bigg(\frac{64}{125}\bigg)^{ - \frac{1}{3}}}\\ \\\qquad\implies{\bigg( \frac{1}{\frac{64}{125}}\bigg)^{ \frac{1}{3}}} \\ \\ \qquad\implies{\bigg( 1 \times \frac{125}{64} \bigg)^{ \frac{1}{3}}} \\ \\ \qquad\implies{\bigg( \frac{125}{64} \bigg)^{ \frac{1}{3}}} \\ \\\qquad\implies{\bigg( \sqrt[3]{ \frac{125}{64}}\bigg)} \\ \\ \qquad\implies{\bigg( \dfrac{5}{4} \bigg)} \\ \\ \qquad\implies{\Big( 1.25\Big)}\end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cqquad%5Cimplies%7B%5Cbigg%28%5Cfrac%7B2%5E6%7D%7B5%5E3%7D%5Cbigg%29%5E%7B%20-%20%5Cfrac%7B1%7D%7B3%7D%7D%7D%5C%5C%20%20%5C%5C%20%5Cqquad%5Cimplies%7B%5Cbigg%28%5Cfrac%7B64%7D%7B125%7D%5Cbigg%29%5E%7B%20-%20%5Cfrac%7B1%7D%7B3%7D%7D%7D%5C%5C%20%20%5C%5C%5Cqquad%5Cimplies%7B%5Cbigg%28%20%5Cfrac%7B1%7D%7B%5Cfrac%7B64%7D%7B125%7D%7D%5Cbigg%29%5E%7B%20%5Cfrac%7B1%7D%7B3%7D%7D%7D%20%5C%5C%20%20%5C%5C%20%5Cqquad%5Cimplies%7B%5Cbigg%28%201%20%5Ctimes%20%20%5Cfrac%7B125%7D%7B64%7D%20%5Cbigg%29%5E%7B%20%5Cfrac%7B1%7D%7B3%7D%7D%7D%20%5C%5C%20%20%5C%5C%20%5Cqquad%5Cimplies%7B%5Cbigg%28%20%5Cfrac%7B125%7D%7B64%7D%20%5Cbigg%29%5E%7B%20%5Cfrac%7B1%7D%7B3%7D%7D%7D%20%5C%5C%20%20%5C%5C%5Cqquad%5Cimplies%7B%5Cbigg%28%20%5Csqrt%5B3%5D%7B%20%5Cfrac%7B125%7D%7B64%7D%7D%5Cbigg%29%7D%20%20%5C%5C%20%20%5C%5C%20%5Cqquad%5Cimplies%7B%5Cbigg%28%20%5Cdfrac%7B5%7D%7B4%7D%20%5Cbigg%29%7D%20%5C%5C%20%20%5C%5C%20%5Cqquad%5Cimplies%7B%5CBig%28%201.25%5CBig%29%7D%5Cend%7Bgathered%7D)
- Hence, the answer is 1.25.
Question. 3
>> (m^2/3)•(m^4/3)
Question. 4
>> (r¹² s⁹)^⅓
- Hence, the answer is r⁴s³.
Question. 5
>> (a⁴/b⁶)^2
- Hence, the answer is a⁸/b¹².
9 to the 5 over 2 in the simplest radical form will be 243 or 9 to the root 3.
<u>Explanation</u>
- Simplest radical form in mathematics re those expressions in which there re no roots, sure roots, cube roots or fourth root to be solved. According to the Merriam Webster dictionary, the word radical means or relating to or originating from the root. It also means going to the root or foundation of any specific thing.
- The use of the simplest radical form is to get rid-off roots to be it sure root, cube root or fourth root in n expression. In the end there are no radicals in the denominator part of the fraction if we are dealing with fractions.
- In the given problem 9 to the 5 over 2 in the simplest radical form will be 243 will be further deduced to 9 to the root 3.
- The following steps would make the problem more simple:
9 to the 5 over 2
=(3^2)^5/2
=3^5
=243
or,
9 to the root 3
B hopefully, the maximum was always less
