Question:
What is the area of the SHADED sector of the circle?
Image of the circle is attached.
A) 400π units²
B) 20π units²
C) 180π units²
D) 40π units²
Answer:
C) 180π units²
Step-by-step explanation:
From thr circle, we can see that the given radius is 20 and the shaded part is 162°
The formula to calculate the area of the shaded sector of a circle is =
Area of the circle * fraction of the shaded part of the circle.
We know area of a circle = πr²
Therefore, area of the shaded sector =
Area of the shaded sector of the circle is 180π units²
It is 2.56 because per pound equals the amount
The exponent is greater than 1 so it is exponential growth, 500 in the equation represents the initial value, and the growth rate in the second equation is 6%.
<h3>What is exponential decay?</h3>
During exponential decay, a quantity falls slowly at first before rapidly decreasing. The exponential decay formula is used to calculate population decline and can also be used to calculate half-life.
We have an exponential function:
a) As the base of the exponent is greater than 1 so it is exponential growth.
b) 500 in the equation represents the initial value.
c) We have another exponential equation:
For exponentikal gropwth:
1 + r = 1.6
r = 0.6 or
r = 6%
In the equation:
The number of bacteria initially was 500 and from the second the number of bacteria initially was 800.
Thus, the exponent is greater than 1 so it is exponential growth, 500 in the equation represents the initial value, and the growth rate in the second equation is 6%.
Learn more about exponential decay here:
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<span>b.14(7x3 - 1)13(21x2) + 49(x2 + 50)48(2x)</span>
2t + 3t = 6t is false. The correct answer is 5t.
y + y + y = y(1 + 1 + 1) is true. Correct answer is 3y.
3(2 + x) = 6 + 3x is true. This is an application of the distributive rule for mult.
2a + 2b = 4ab is false. a and b are separate variables with no given relationship to each other. Correct answer would be 2(a+b).
x + 3 = 4x is false. x + 3x = 4x would be true.