9514 1404 393
Answer:
see below
Step-by-step explanation:
The symbol ≤ means the dot at -9 will be solid, because the value -9 is part of the solution set. The line is shaded for values less than -9, because that is what the inequality is telling you are values of r that are in the solution set.
Answer:
area of the rectangle =
Step-by-step explanation:
width = x cm
length = x + 5 cm
Perimeter = 2(length + width)
width = 7.5cm
length = 7.5 + 5 = 12.5cm
Area of the rectangle = length × width
Answer:
132 ft squared
Step-by-step explanation:
One way is to divide the shape into a rectangle and a triangle, by drawing a vertical line.
This gives a rectangle that is 9 by 11, so has area 99.
The triangle has a base of 11 and height of 15 - 9 = 6.
So the area of the triangle = 1/2 x b x h = 1/2 x 11 x 6 = 33
So the total area is 99 + 33 = 132.
Answers for problems 21-23
Answer:
a) A =( x^2 -4x)/2
b) 16 cm^2
Step-by-step explanation:
Let the base of the triangle be x cm
since it is longer, then the height would be (x-4) cm
Mathematically, the area of a triangle is the product of the base and the height divided by 2
So, we have this as;
A = 1/2(x-4)x
A = x(x-4)/2
A = (x^2 - 4x)/2
A =( x^2 -4x)/2
To find the area, we only need to substitute 8 cm for x
we have this as;
A = (8^2 -4(8))/2
A = (64-32)/2 = 32/2 = 16 cm^2