Answer:
39,916,800ways
Step-by-step explanation:
This arrangement is permutation. Since it is a circular arrangement, the formula for calculating arrangement of objects sitting in a circular path is (n-1)! where n is the number of objects. Applying this formula in the question, the 12 students will sit in a circle in (12-1)! ways.
(12-1)! = 11!
= 11×10×9×8×7×6×5×4×3×2×1
= 39,916,800ways
You would use the equation x + x + 65 + 25 = 180. The equate should be equal to 180 since a triangle is 180 degrees. Then use the equation and solve
2x + 90 = 180
2x = 90
x = 45
Hope you understand!
Plug in 4 for r and 1 for s
r+s^2
4+1^2
Evaluate exponents first (order of operations)
4+1
Add
5
Final answer: 5
Answer:
B.
Step-by-step explanation:
- Multiplying both numerator and denominator by (5 - 4i) <em>,</em><em> </em><em>t</em><em>h</em><em>e</em><em> </em><em>c</em><em>o</em><em>n</em><em>j</em><em>u</em><em>g</em><em>a</em><em>t</em><em>e</em><em> </em><em>o</em><em>f</em><em> </em><em>t</em><em>h</em><em>e</em><em> </em><em>d</em><em>e</em><em>n</em><em>o</em><em>m</em><em>i</em><em>n</em><em>a</em><em>t</em><em>o</em><em>r</em><em>,</em><em> </em><em>i</em><em>.</em><em> </em><em>e</em><em>,</em><em> </em><em>(</em><em>5</em><em> </em><em>+</em><em> </em><em>4</em><em>i</em><em>)</em><em>.</em>
- Multiplying (4+4i) and (5-4i) using distributive property
- Using the identity <em>(a+b)(a-b)= a² - b²</em> where 5 will act as a and 4i will act as b
(<em>combining like terms)</em>
distributing the denominator
That is, option B.