Answer:
The area of the shape can be divided into the area of the rectangle, and the area of the semi-circle.
The area of the rectangle can be found by 
The area of a semi-circle can be found with the formula
where r is the radius.
Since we know the diameter of the semi-circle is 4,
the radius will be 4 ÷ 2 = 2.
Therefore, the area of the semi-circle is 
Therefore, the area of the shape is
or
(3 decimal places)
Answer:
(2a, b )
Step-by-step explanation:
Given the endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[
(x₁ + x₂ ),
(y₁ + y₂ ) ]
Here (x₁, y₁ ) = N(2a, 2b) and (x₂, y₂ ) = P(2a, 0), thus
midpoint = [
(2a + 2a),
(2b + 0 ) ] = (2a, b )
Answer:
(3,0,0)
Step-by-step explanation:
3x + 5y + z = 9 --------------(I)
-4y - z = 0 -------------------(II)
z = -4y
2x + 3y - 4z = 6 (III)
Substitute z = -4y in equation (I) and (III)
3x +5y - 4y = 9
3x + y = 9 -----------------------(a)
2x + 3y - 4*(-4y) = 6
2x + 3y + 16y = 6
2x + 19y = 6 -------------------(b)
Multiply equation (a) by (-19) and then add. So, y will be eliminated and we can get the value of x
(a)*(-19) -57x - 19y = -171
(b) <u> 2x + 19y = 6 </u>
-55x = -165
x = -165/-55
x = 3
Plugin x = 3 in equation (a)
3*3 + y = 9
9 + y = 9
y = 9 - 9
y = 0
Plug in y = 0 in equation (II)
-4*0 - z = 0
z = 0
Answer:
9.90 inches
Step-by-step explanation:
Area of a triangle is equal to base times height divided by 2.

Base and height is x.

Solve for x.



