Answer:
Area = 6.6 cm²
Step-by-step explanation:
Area of the shaded region =
Area of Rectangle - Area of Trapezoid - Area of circle - Area of Triangle
Area of rectangle = Length x Breadth
= 3 x ( 1.5 + 2 + 1.5)
= 3 x 5
= 15 cm²
Area of the trapezoid = h x ( a + b )/2
= 1.5 x ( 3 + 1)/2
= 1.5 x 2
= 3 cm²
Area of the circle = π x r²
= 3.14 x 1 [diameter, d = 2 cm, r = d/2 =1]
= 3.14 cm²
Area of triangle = (1/2) x base x height
= (1/2) x 3 x 1.5
= 2.25 cm²
Area of the shaded region = 15 - 3 - 3.14 - 2.25
= 6.61 cm²
= 6.6 cm ² [ round to nearest tenth ]
Take x-2=0
x=2
put the value of x in the equation
2^2 + 3(2) + k =0
4+6+k=0
10+k=0
k= -10
hope you understand
Answer:
Option (2). None
Step-by-step explanation:
A quadrilateral ABCD has been given with a property,
m∠7 = m∠4
Option (1). AB║ DC
For AB║DC, angle 7 and angle 3 should measure the same.
(By the property of alternate angles)
Therefore, by the given property we can not deduce AB║DC.
Option (3). AD║BC
For AD║BC, angle 7 and angle 3 must be equal in measure.
(By the property of alternate angles)
Therefore, by the given property we can not deduce AD║DC
Option (2). None will be the answer.
Answers are
there are four ways to choose the committee
there are three ways to form the committee if person D must be on it
if person B and C must be on the committee, there are two ways to form the committee
Answer:

Step-by-step explanation:
You can isolate the "V" variable by dividing by IT on both sides:

On the left, the IT from the top and bottom cancel, leaving you with just V:
