Answer:
The area of the shape is 
.
Step-by-step explanation:
The shape in the graph is a composite figure is made up of several simple geometric figures such as triangles, and rectangles.
Area is the space inside of a two-dimensional shape. We can also think of area as the amount of space a shape covers.
To calculate the area of a composite shape you must divide the shape into rectangles, triangles or other shapes you can find the area of and then add the areas back together.
First separate the composite shape into three simpler shapes, in this case two rectangles and a triangle. Then find the area of each figure.
To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.
The area of the first rectangle is 
The area of the second rectangle is 
The area of a triangle is given by the formula 
where <em>b</em> is the base and <em>h</em> is the height of the triangle.
The area of the triangle is 
Finally, add the areas of the simpler figures together to find the total area of the composite figure.
Answer:
It is proportional
Step-by-step explanation:
The pool is being filled at a constant rate.
Answer:
it is bigger then because 4/12 is in 72 Step-by-step explanation:
Answer:
The cutoff for a failing score was 40,
Approximately 2.3% of the students failed.
Step-by-step explanation:
Given,
Mean, 
Standard deviation, 
Let x represents the cutoff for a failing score,
Thus, according to the question,
Thus, the cutoff for a failing score is 40,
∵ P(<-2) = 0.02275 = 2.275 % ≈ 2.3 %
Hence, Approximately 2.3 % of the students failed.
Answer:
The length of the pendulum is 14.13 meters.
Step-by-step explanation:
The length of a pendulum is given by the formula, 
, where T is the times period and L is the length of the pendulum.
Now, given that T = 2.4π seconds.
So, from the above equation, we get,
⇒ 
⇒ 
{We have the value of g as 9.81 m/sec²}
⇒ L = 1.44 × 9.81 = 14.13 meters. (Approx.)
Therefore, the length of the pendulum is 14.13 meters. (Answer)
