Angle-side-angle is a rule used to prove whether a given set of triangles are congruent. The ASA rule states that: If two angles and the included side of one triangle are equal to two angles and included side of another triangle, then the triangles are congruent
Answer:
diameter of a circle = 12cm
Step-by-step explanation:
Area of a circle = πr²
113.04 cm² = πr²
First, search for radius (r) :-
r = √(113.04/π)
r = 6 cm
As diameter is equals to 2×radius
The diameter of a circle = 2 × 6cm
Final answer = 12 cm
The question is incomplete. Here is the complete question:
Mr.yueng graded his students math quizzes students came up with four different answers when solving the equation x3=22. Which answers is correct.
(A) 
(B) ![\sqrt[3]{22}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B22%7D%20)
(C)
(D) 
Answer:
(B) ![\sqrt[3]{22}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B22%7D)
Step-by-step explanation:
Given:
The equation to solve is given as:

Here, the left hand side of the equation has a variable 'x' in exponent form. So, in order to solve for 'x', we have to eliminate the exponent.
For removing the exponent, we have to take cubic root on both the sides. As we know that,
![\sqrt[n]{x^n} =x](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bx%5En%7D%20%3Dx)
So, taking cubic root on both the sides, we get
![\sqrt[3]{x^3}=\sqrt[3]{22}\\\\x=\sqrt[3]{22}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E3%7D%3D%5Csqrt%5B3%5D%7B22%7D%5C%5C%5C%5Cx%3D%5Csqrt%5B3%5D%7B22%7D)
Therefore, the second student has written the correct answer and hence the correct option is (B).
Hey there!
#1 ⬇️
6 × 6 × 6 × 6 × 6
6 × 6 = 36
36 × 36 × 6
36 × 36 = 1,296
1296 × 6 = 7,776
Answer: 7,776 ☑️
#2 ⬇️
3 × 3 × 3 × 3
3 × 3 = 9
9 × 9 = 81
Answer: 81 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)