Answer:
72 sq. inches
Step-by-step explanation:
We are trying to find the area of the shaded part, and so we start with finding the area of the entire half that is marked (the area with measurements). The length is 8 in, as seen on the bottom, and the height is 12 in, as seen on the side. 8 * 12 = 96, so the entire portion from the shaded part to the very right is 96 sq. inches. Now we have to take out the white triangle part to find the area of the shaded part. Area of a triangle = 1/2*base * height, so we multiply 1/2 * 12 * 4, which gets us 24. Now that we know the area of the triangle, we subtract it from the previous area we got, which was the area of the shaded part plus the triangle (96). 96 - 24 = 72, so the area of the shaded portion is 72 sq. inches. Hope this helps!
Answer:
The ballon rose a distance of 37 1/2 feet
Step-by-step explanation:
Here, we are interested in calculating the level of ascent of the weather balloon.
From the question, we are told that the ballon made a transition from below the sea to above the sea.
Now to calculate the total distance, we shall
be adding the distances below the sea and the distances above;
Mathematically, that would be;
18 feet + 19 1/2 feet = 37 1/2 feet
Answer:
The required equation in standard form is 
Step-by-step explanation:
The equation of a circle with center (h,k) an radius, r units is given by the formula;
The given circle has center (4,5) and the radius can be calculated from the given circumference, which is 
We substitute these values into the formula to obtain;
We simplify to get;
