Answer:
-88/85
Step-by-step explanation:
2 14/49=112/49
7 3/85=598/85
3 35/49=182/49
------------------------
112/49-(598/85-182/49)
112/49-1976/595
-88/85
Answer:
40
Step-by-step explanation:
0.25x40=10 dollars
Consider the system of inequalities
1. Plot all lines that are determined by equalities (see attached diagram)
2. Determine which bounded part of the plane you should select:
means that you should take points with y-coordinates greater than or equal to 2 (top part of the coordinate plane that was formed by the red line);
means that you should take points with x-coordinates less than or equal to 6 (left part of the coordinate plane that was formed by the blue line);- for
you can check where the origin is placed. Since 
, the origin belongs to the needed part and you have to take the right part of the coordinate plane that was formed by green line. - for
you can check where the origin is placed. Since 
, the origin belongs to the needed part and you have to take the bottom part of the coordinate plane that was formed by orange line.
3. According to the previous explanations, the shaded region is as in A diagram.
Answer: correct choice is A.
Answer:
The area of the figure is 86.13
Step-by-step explanation:
First, solve for the area in the triangle using the equation A = h*b/2
We have the height and the base which is 6. Plug in for the equation and solve.
A = 6*6/2
A = 36/2
A = 18
Next, solve the area for the rectangle using the equation A = w*l
The width is 6 and the length is 9. Plug in for the equation and solve.
A = 6*9
A = 54
And finally, solve for the area of the triangle using the equation A = pi*r^2
We know that pi is around 3.14 and the diameter is 6. We know that a diameter is twice the length of the radius, so we can divide the diameter by 2 and get the radius.
r = 6/2
r = 3
Now plug in the equation and solve.
A = 3.14*3^2
A = 3.14*9
A = 28.26
Since this is the area of a full circle, we need to divide the area of it by 2 to get the area of a half circle.
A = 28.26/2
A = 14.13
Next, add them all up and you will get your answer.
18 + 54 + 14.13 = 86.13
Hope this helps.
