Answer:
2.9g/ml
Step-by-step explanation:
mass of the rock:130g
volume of the rock:45ml
d=m/v
d=130g/45ml
d=2.9g/ml
The factor of f(x) is (x-(4-13i))
If a polynomial function f(x) has roots 4 – 13i and 5
One of the complex roots is 4-13i
If we have one complex root then there should be one more complex root.
<h3>What is the complex root?</h3>
complex roots come in pairs like (a+ib) and (a-ib)
so another complex root for 4-13i is 4+13i
If 'a' is a root then the factor is (x-a)
4+13i is a root
So the factor is (x-(4-13i))
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We know that
the law of sinus established
a/sin A=b/sin B=c/sin C
so
A=30°
B=45°
b=10 units
a/sin A=b/sin B---------> a/sin 30=10/sin 45------> a=10*sin 30/sin 45
a=7.07 units
C=180-(A+B)-------> C=180-(75°)-----> C=105°
b/sin B=c/sin C--------> c=b*sin C/sin B----> c=10*sin 105/sin 45
c=13.66 units
Area=(1/2)*b*c*sin A-------> Area=(1/2)*10*13.66*sin 30°-----> 34.15 units ²
the area of triangle is 34 units²
