Answer:
In Right Δ ABC with right angle B,
∠A=(3 x -8)°, ∠B=90°, ∠C=(x-2)°
∠A+∠B+∠C=180°[∠ sum property of triangle]
3 x-8+90 + x-2=180
Adding and subtracting like terms
4 x-10+90=180
4 x+80=180
4 x=180-80
4 x=100
x=100/4
x=25°
∠A=3×25-8=75-8=67°
Answer:
the estimation of the size of the population after 20 hours is 10159
Step-by-step explanation:
The computation of the size of the population after 20, hours is shown below;
= 100 2^(20 by 3)
= 10159.36
If we divide 20 by 3 so it would give 6.66 that lies between 6 and 7
So the estimation of the size of the population after 20 hours is 10159
hence, the same is relevant
Answer:

Step-by-step explanation:
The power station is located 5 miles west and 6 miles north of the center of town. So if we try to locate the above points on a Cartesian plane. The co-ordinates of these points will be (-5,6).
And it is also mentioned that a power outage affected all homes and businesses within a 3 mile radius of the power station. So if we plot all the furthest points from the station affected by the power outage it will be a circle of radius 3 miles and center at (-5,6).
The equation of a circle with center (a,b) and radius r is given by :

Hence the equation of the resulting circle will be: 