Answer: Area of the dotted line square is 120ft^2 and area of figure a. is 60 ft^2
Step-by-step explanation:
So the area of the dotted square/rectangle is 120 because we can take the entire length and width which is 10ft and 12 ft and multiply to find the area
Now the weird looking shape can be a little tricky but we have to remember that it is alot easier to solve for area of separate shapes. So if you look at the side of the 5ft and look all the way down we can see this figure makes both a rectangle and a triangle. The rectangle has a length of 10 and width of 4 so the area of that is 40ft^2. Now for the triangle. To find the base and height lengths 12-4 from the width of the rectangle which is 8 and 10-5 from height of the triangle so 5. Area of triangles is b*h/2 so 8*5/2= 20ft^2. So 40ft^2(rectangle)+20ft^2(triangle) is 60ft^2 area of figure a.
Y = 5x+4. The slope is the same, 5, making them parallel, and when you plug in 2 for x you get 14
Since the angle is positive, you can find any coterminal angle by applying:
Angle + x = 2π ==> 7π/6 + x = 2π ==> x = 2π - 7π/6
x= 12π/6 -7π/6 = 5π/6
So the angle 5π/6 is the coterminal of 7π/6
Answer: a is correct
Step-by-step explanation:
