Answer:
<h2>
50+50i</h2>
Step-by-step explanation:
Given the expression (2 + i)(3 - i)(1 + 2i)(1 - i)(3 + i), we are to take the product of all the complex values. We must note that i² = -1.
Rearranging the expression [(3 - i)(3 + i)] [(2 + i)(1 - i)](1 + 2i)
On expansion
(3 - i)(3 + i)
= 9+3i-3i-i²
= 9-(-1)
= 9+1
(3 - i)(3 + i) = 10
For the expression (2 + i)(1 - i), we have;
(2 + i)(1 - i)
= 2-2i+i-i²
= 2-i+1
= 3-i
Multiplying 3-i with the last expression (1 + 2i)
(2 + i)(1 - i)(1 + 2i)
= (3-i)(1+2i)
= 3+6i-i-2i²
= 3+5i-2(-1)
= 3+5i+2
= 5+5i
Finally, [(3 - i)(3 + i)] [(2 + i)(1 - i)(1 + 2i)]
= 10(5+5i)
= 50+50i
Hence, (3 - i)(3 + i)(2 + i)(1 - i)(1 + 2i) is equivalent to 50+50i
The measure of angle PQR when Zubin drew a circle with right triangle will be 65°.
<h3>How to find the measure of the angle?</h3>
From the information given, when Zubin drew a circle with right triangle, arc QR measures 50 degrees.
Therefore, the measure of angle PQR will be:
= 180° - 90° - (1/2 × 50°)
= 180° - 90° - 25°
= 65°
In conclusion, the angle is 65°.
Learn more about circle on:
brainly.com/question/24375372
Answer:
36°
Step-by-step explanation:
By remote interior angle theorem:
b + 81° = 117°
b = 117° - 81°
b = 36°
Answer:
C. It cannot be factored into a perfect square.
Step-by-step explanation:
Take the square roots of all the numbers present (64, 49, 8) and you will find that 8, the constant, is not a perfect square.
