A quadrilateral is a shape with four sides
We have two parallel sides with length 7cm and another two parallel sides with length 4cm
Four right angles
The shape is a rectangle
3x + 4y = 38 ( equation 1) ----> ×5
5x - 5y = -30 ( equation 2) ----> ×3
When you multiply eqn 1 by 5 you get, 15x + 20y = 190
And when you multiply eqn 2 by 3, you get, 15x - 15y = -90
Then you solve both equations by subtracting eqn 2 from eqn 1
15x + 20y = 190
15x - 15y = 90
Then 15x - 15x gets cancelled and 20y - (-15y) gives 35y and 190 - (-90) gives 280.
So that gives 35y = 280
y = 8
And when you replace y = 8 in any of the two equations, x = 2
Answer:
8
Step-by-step explanation:
x+x+7=23
2x=16
x=8
Hello there!
the solutions to this system of inequalities are every point in the blue area. In order to figure out if each of those choices are solutions, just graph the points, and if they are in the blue, they are solutions.
Using this method, you get A and C as your answers because they are in the blue region.
I really hope this helps!
Best wishes :)
Answer:
1)b
2)d)80/360×36π≈25.12cm²
4)d)32.5
5)c)135°
6)d)4π/3
Step-by-step explanation:
1) because as we know
Circle equation
=(x-a)²+(y-b)²=r²
=(x-5)²+(y+1)²=36 (given)
=(x-(+5))²+(y-(-1))²=6²
So
C(5,-1)and r=6
2)as we know area of sector
=Theta/360×πr²
=80/360×6²π
80/360×36×3.14
80/10×3.14
=25.12
4)to figure out 4 we have to separate the shape into 2 parts
First semi-circul
Second rectangle
So the parameter of the shape
=Circumference of semi-circul + the parameter of the rectangle
=[10π×½+2(10+3.4)]-10 (as the dashed line is not a part of parameter)
=[15.7+26.8]-10
=32.5
5)3π/4
3×180/4
540/4
135
6)240°
240°×π/180°
4π/3
