If the shorter leg of a 30-60-90 right triangle measures 5, then what is the measure of the hypotenuse? A O 10 BO The square root of 52 CO 5 times the square root of 3 D 5 times the square root of 2

Q: The roots of ³ = 27 are

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Q: Simplify 2 + √-27 . О 2+3iN3 2+9i√3 00 0 2-91√3 о 2-3i√3 O

A: 2+-27

Q: 6. If z = a+i is a root of the equation z² – 6z + 10 = 0, find the value of a, if a is a real %3D…

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Q: When writing the square root of a negative number in terms of i, we usually place iafter the…

A: Normally the i will be placed after the coefficient but not in the front of the radical. So avoid…

Q: Solve by completing 2x² + 12x 30 0 - X= the square. Enter exact values. If you have two solutions,…

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Q: 4. Possible roots (degree): Number of real roots: Number of complex roots:

A: Open and ends in opposite direction- odd degree

Q: 1. Find (-1 - i)5 and express the result in rectangular form. 2. Find the square roots of 1 + (√3)i…

A: The given problem is to evaluate and simplify and express the following complex expressions.

Q: 2. 0- 2x +1 +1.1 | 2 - 2. - 2x+I 2 2 2 エ N2

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Q: Establish the identity. (1+ csc 0)(1- csc 0) = - cot0 Multiply and write the left side expression as…

A: Just I have used the rule and some trigonometrical identity and show the given result.

Q: Which among the following is purely real? Select the correct response: Z= 6 Z= -1 +2i Z= 7-9i Z= -6i

A: A complex number is denoted by Z = (x,y) and is defined by Z = (x,y) = x+ iy where both x and y  are…

Q: The real number r is at most square root of two

A: If r = 0 then 0^2 =0 , therefore we say that 0 is square of 0 . If r < 0 then there is no real…

Q: Factor the trigonometric expression completely. 3 csc2 Y + 7 csc Y+2

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Q: 16. If a and b are positive real numbers, then a +b >2/ab.

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