17.9 please give me five stars
Step-by-step explanation: I just took the test
Option B. 17.9 units²
This figure consist of two figures
1). One quadrilateral
2). One semicircle
Now to get the area of total figure
= Area of triangle + area of semicircle
1). Area of quadrilateral = length × width
= √(3-1)²+(1-2)² × √(3-1)²+(1+3)² = √(4 + 1) ×√(4 + 16) = √5×2√5 = 10
2) Area of semicircle = (1/2)πr²
Radius of the circle = (1/2)√(3-1)²+(1+3)² = (1/2)√(4 + 16) = (1/2)(√20)
r = √5
Area of semicircle = (1/2).(π).(√5)² = (1/2).(3.14)(5) = 7.85
Area of the total figure = 10 + 7.85 = 17.85 ≈ 17.9 units²
Option B is the correct answer.
Here the figure is made up of a quadrilateral and a semi circle.
ABCD is the quadrilateral here. We will find the sides of the quadrilateral by using the distance formula.
If (x₁, y₁) and (x₂, y₂) are two points given, then the distance between two points by using distance formula is,
The co-ordinate of A is (-1,2) and co-ordinate of B is (-2,-1).
So the length of side AB =
=(As negative times negative is positive)
The co-ordinate of C is (4,-3) and D is (5,0)
The length of side CD
So the sides AB and CD are equal.
The length of side AD
The length of side BC
So the lengths of the sides AD and BC are equal.
So the quadrilateral is a rectangle whose length is and width is .
Area of a rectangle = length × width
Now the diameter of the semicircle is the side AD =
So, the radius of the semi-circle =
Area of semi-circle = , where r is the radius.
= = ( Approximately taken to the nearest tenth)
Total area of the figure = =
We have got the required answer.
Option a is correct here.
given: the line in the graph passes through points (5,30) and (6,26).
then, the equation of line is:
now, put y=a(n) and x=n,
hence, option d is correct.
what is the area of this fig...