Answer:
The area of the polygon is 42
.
Step-by-step explanation:
A polygon is a shape that has three or more sides. They are named with respect to the number of their sides. Example, an octagon has 8 sides, hexagon has 6 sides etc.
From the given figure, the area of the shaded polygon can be calculated by;
Area of polygon = Area of square - Sum of areas given
Sum of areas given = 24 + 30 + 48
= 102
The four sides of the figure are equal, thus it is a square. The length of each side is 12 cm, so that:
Area of square = length × width
= 12 × 12
= 144
Area of polygon = 144 - 102
= 42
The area of the polygon is 42.
All the interior angles are right angles
27.5 / 3.5 = 7.86; The average yearly snowfall was 7.86 inches.
Answer:
The average rate of change is -3.
Step-by-step explanation:
We are given the function:
And we want to find the average rate of change from <em>x </em>= 0 to <em>x </em>= 3.
In other words, we will compute the function at the two endpoints, and then find the slope of the line that crosses the two points.
For our first endpoint at <em>x</em> = 0, our function evaluates to:
So, our first point is (0, 9).
For our second endpoint at <em>x</em> = 3, our function evaluates to :
So, our second point is (3, 0).
Then by the slope formula, our average rate of change will be:
Answer:
4 inches
Step-by-step explanation:
Let us assume that there are few numbers of friends.
Therefore, 28 inches of one sandwich has to be divided into equal few pieces and another 36 inches of the sandwich has to be divided into equal few pieces.
We have to calculate the greatest possible length of the pieces.
Therefore, the greatest length of each piece will be a common factor of 28 and 36.
Now, we have 28 =2×2×7 and 36 =2×2×3×3. Hence, the greatest possible factor is 2×2 = 4.
Therefore, greatest possible length of each piece of the sandwich is 4 inches. (Answer)
