Answer:
The three angles of the right-angled triangle are
a = 35°
b = 90°
c = 55°
Step-by-step explanation:
We are given the ratio of angles of a right-angled triangle
a:b:c = 7:18:11
Recall that the sum of interior angles in a right-angled triangle is always 180°
7x + 18x + 11x = 180
36x = 180
x = 180/36
x = 5
a:b:c = 7x:18x:11x
a:b:c = 7(5):18(5):11(5)
a:b:c = 35:90:55
a = 35°
b = 90°
c = 55°
Alternatively:
We are given that the smallest angle is 35°
a = 7x = 35
x = 35/7
x = 5
b = 18x
b = 18(5)
b = 90°
c = 11x
c = 11(5)
c = 55°
The solutions for the quadratic equation 9x² - 6x + 5 = 0 are A. 2 complex roots
To determine the the type of roots the quadratic equation 9x² - 6x + 5 = 0, we use the quadratic formula to find the roots.
So, for a quadratic equation ax + bx + c = 0, the roots are

With a = 9, b = -6 and c = 5, the roots of our equation are

Since the roots of the equation are (1 + 2i)/3 and (1 - 2i)/3, there are 2 complex roots.
So, the solutions for the quadratic equation 9x² - 6x + 5 = 0 are A. 2 complex roots
Learn more about quadratic equations here:
brainly.com/question/18117039
Answer:
The correct answer should be C.
Patrick worked 160.5 hours because you have to subtract 1000 from 7420 then divide that by 40 for your answer. Also, Patrick has a sweet job.