We are given the length of AC and AB to be 20 and 6, respectively, so we can subtract 6 from 20 to find BC to be 14 cm.
The circumference of a circle is equal to


The answer is approximately 87.96 cm
Answer:
X=0 the temperatures is 40
Step-by-step explanation:
y=1/4x +40
x=0
y=1/4*0+40
y=0+40
y=40
Answer:
The answer is (C)
The equation of the circle is (x + 4)² + (y - 6)² = 81
Step-by-step explanation:
* To find the equation of the circle you need to know
the center of the circle and the length of its radius
* The rule of the equation of the circle is:
(x - h)² + (y - k)² = r²
Where x and y is a general point on the circle,
h and k are the coordinates of the center of the circle
and r is the radius of the circle
∵ The center of the circle is (-4 , 6)
∵ The radius of the circle is 9
∴ (x - -4)² + (y - 6)² = 9²
∴ ( x + 4)² + (y - 6)² = 81
∴ The answer is (C)
Using an exponential function, it is found that it takes 18.6 days for 80% of the material to decay.
The amount of a substance after t days is modeled by:

In which:
- k is the decay rate, as a decimal.
- A(0) is the initial amount.
The half-life is of 8 days, hence
, and this is used to find k.







Hence:

The time it takes for 80% of the material to decay it t for which
, hence:






It takes 18.6 days for 80% of the material to decay.
To learn more about exponential functions, you can take a look at brainly.com/question/24906920
Answer-
<em>The inverse of
is </em>

<u>Solution-</u>
The given function is,

We can get the inverse by interchanging he variable x and y among themselves and then separating each variables.
So in the inverse would be,

Taking log of both sides,

As,

Applying the same,


As,

Applying the same,

Therefore, the inverse of
is
.