Answer with Step-by-step explanation:
We are given that
a.
b.Radius=2.58 cm
Substitute the values in the formula and 
Hence, the area of circle =20.9 square cm
c.Area of circle=1530 square cm
Hence, the radius of circle=22.07 cm
c.Area of circle of radius 15.2 cm=
Area of circle of radius 15.1 cm=
Hence, the area of circle whose radius is 15.2 cm is greater than the area of circle of radius 15.1 cm by 9.52 square cm .
I’ll look at your recent posts and see if it’s within my abilities to answer them
By the Hinge Theorem, we know that
Angle ABD > Angle DBC
The "hinge" can be thought of the angle. A door opens and closes, which is attached to the hinge. The more the door opens, the larger the angle is. The value 11 is larger than 8, so the "door" so to speak is wider in angle. The larger the opposite side from an angle, the larger the angle itself.
So when comparing the two angles 58 and (5x+3), the 58 degree angle is larger.
58 > 5x+3
58-3 > 5x
55/5 > x
11 > x
x < 11
At the same time, the angle DBC can't be negative or zero, so
5x + 3 > 0
5x > -3
x > -3/5
-3/5 < x
Together -3/5 < x and x < 11 combine to the answer of -3/5 < x < 11
This means x can be any number between -3/5 and 11; however, x cannot be equal to -3/5, nor can it be equal to 11
By definition we have the average rate of change is:
AVR = (f (x2) -f (x1)) / ((x2) - (x1))
Then, for each function we have:
For f (x):
f (x) = (x + 3) ^ 2 - 2
For x = -1
f (-1) = (-1 + 3) ^ 2 - 2
f (-1) = (2) ^ 2 - 2
f (-1) = 4 - 2
f (-1) = 2
For x = 3
f (3) = (3 + 3) ^ 2 - 2
f (3) = (6) ^ 2 - 2
f (3) = 36 - 2
f (3) = 34
AVR = ((34) - (2)) / ((3) - (- 1))
AVR = 8
For g (x):
linear graph with and intercept of negative 3 over 2 and x intercept of 3
y = mx + b
b = -3/2
For me we have:
0 = m (3) - 3/2
3m = 3/2
m = 1/2
The function g (x) is:
g (x) = (1/2) x - 3/2
For x = -1
g (-1) = (1/2) (- 1) - 3/2
g (-1) = -1/2 - 3/2
g (-1) = -4/2
g (-1) = -2
For x = 3
g (3) = (1/2) (3) - 3/2
g (3) = 3/2 - 3/2
g (3) = 0
AVR = ((0) - (- 2)) / ((3) - (- 1))
AVR = 1/2
For h (x):
Using the table we have:
AVR = ((62) - (14)) / ((3) - (- 1))
AVR = 12
from least to greatest:
1) g (x)
2) f (x)
3) h (x)
Answer:
The correct order of the functions from least to greatest is:
1) g (x)
2) f (x)
3) h (x)
