Answer:
A = 1.77 ft^2
Step-by-step explanation:
The circle has a diameter of 1.5 ft
We need the radius
r = d/2 = 1.5/2 = .75 ft
The area of a circle is
A = pi r^2
A = 3.14 ( .75)^2 = 1.76625
To the nearest hundredth
A = 1.77 ft^2
X = 89
41 + 50 = 91 which is 89 away from 180
Answer:
equation;

Center (-4,2)
Radius is

Step-by-step explanation:
Since the x^2 and y^2 have the same coeffiecent this will be a circle in a form of

Where (h,k) is center
r is the radius
So first we group like Terms together

Add 7 to both sides


Since the orginal form of the equation of the circle has a perfect square we need to complete the square for each problem

and

so we have



To find our center, h is -4 and k is 2
so the center is (-4,2)
The radius is

So the radius is 3 times sqr root of 3.
Answer:
He must pay $129.45 and the total amount due is $3,629.45.
Step-by-step explanation:
I (interest) =P (principal) x R (rate) x T (time)
I=3500x.09x150/365
I=129.45
A (amount due) = P (principal) + I (interest)
A= 3500 + 129.45
A= $3629.45
Answer:
20 meters
Step-by-step explanation:
Firstly we need to know that distance = speed * time
In this particular question, we have the time and the speed, we are only told to find the distance.
Now as we can see, the units are not consistent. While the average speed is 30mph, the time is not in hours but minutes. So practically, we have to convert the time to hours.
Since there are 60 minutes in an hour, the number of hours in 40 minutes would be 40/60 = 2/3 hours.
Now we can proceed to find the distance. We simply multiply the average speed with the time.
Hence, that is 30 * 2/3 = 20 meters