Answer:
You would draw a rectangle that has 3 rows of 19 squares.
This would represent 3 times 9.
Step-by-step explanation:
Given:
Shapes: Trapezoid and Triangle.
Trapezoid: Upper base = 14mm ; lower base = 18mm
Triangle: base = 18mm ; height = 12mm
Total height of the figure is 17 mm
Area of a trapezoid = (upper base + lower base)/2 * height
A = (14mm+18mm)/2 * (17mm-12mm)
A = 32mm/2 * 5mm
A = 16mm * 5mm
A = 80 mm²
Area of a triangle = (height * base) ÷ 2
A = (12mm * 18mm) ÷ 2
A = 216mm² ÷ 2
A = 108 mm²
Total area of the figure = 80 mm² + 108 mm² = 188mm²
Answer:
x = 10
Step-by-step explanation:
If you look at the opposite side of the "x", you see the same shape, with the same values.
Answer:
Step-by-step explanation:
We don't need choices to find out the correct answer. Solve this problem by completing the square. Begin by setting the quadratic equal to 0 and moving over the constant, like this:
and factor out the -1 in front of the x-squared, since the leading coefficient HAS to be a 1:
Now take half the linear term, square it, and add it to both sides. Our linear term is -2. Half of -2 is -1, and squaring that gives us 1. So we add a 1 into both sides. But that -1 out front there on the left is a multiplier, so what we actually added in was -1(1) which is -1:
On the left side we have a perfect square binomial, which is why we do this, and on the right side we have -2:
and we can move that constant back over and set the quadratic back equal to y:
which gives us a max height of 2.
(If this was modeling parabolic motion, we would know that the time it takes to get to that max height is 1 second. The vertex of this parabola is (1, 2))
Divide 1 kilogram by how much shoes are there.
