Answer: option D is the correct answer
Step-by-step explanation:
The shaded portion of the circle is the smaller sector whose radius is the same as the radius of the circle which is given as 4 units. The sector is always bounded by two radii with a common point which is the center of the circle and forming an angle at that point. The given sector forms an angle of 45 degrees.
Area of a sector is expressed as
#/360 × π × r^2 and # is in degrees
Therefore, area of the shaded portion or sector = 45/360 × π × 4^2
= 45/360 × 16π
= 45/360 (16π)
In mathematical logic, the Law of Syllogism says that if the following two statements are true: (1) If p , then q . (2) If q , then r . Then we can derive a third true statement: (3) If p , then r . Let p be the statement " you miss the bus", let q be the statement "you will be late to school", and let r be the statement "you will get detention". Then (1) and (2) can be written 1) If p , then q . 2) If q , then r . So, by the Law of Syllogism, we can deduce 3) If p , then r or If you miss the bus then you will get detention
Given coordinates of the triangle:
(3,4)
(4,7)
(8,2).
We are given rule for transformation: (x,y) --> (-x,y).
According to given rule the y coordinates remain same but the coordinates of x's getting multiplied by a negative sign.
Let us write transformed coordinates of the given triangle according to given rule.
(3,4) --> (-3,4)
(4,7) --> (-4,7)
(8,2) --> (-8,2).
Now, we can plot those transformed coordinates on the graph and plot transformed triangle.
Substitute the 1st equation in the 2nd, we get:
3x + 2(-3 + 2x) = 2
3x -6 +4x = 2
7x = 8
x = 8/7
Replace x = 8/7 in equation 1,
y = -3 + 2(8/7) = -3 +16/7 = -5/7
To get the mean distance that Jim jogged, you have to solve
for the total miles he was able to jogged divided by the number of days he
jogged.
6.5 miles + 5 miles + 3 miles + 2 miles + 3.5 miles + 4
miles = 24 miles / 6 days = 4
Therefore, the mean distance that Jim jogged is 4 miles.
