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The area of the shaded region is 3x^2 + 6x
<h3>How to determine the area of the shaded region?</h3>
The given parameters are:
- Top side of the shaded rectangle = 2x + 7.
- Left side of the shaded rectangle = 2x.
- Top side of the unshaded rectangle = x + 8.
- Left side of the unshaded rectangle = x.
The area of the shaded region is calculated as:
Shaded region area = (Top side of the shaded rectangle * Left side of the shaded rectangle) - (Top side of the unshaded rectangle * Left side of the unshaded rectangle)
Substitute the known values in the above equation
Shaded region area = (2x + 7) * (2x) - (x + 8) * (x)
Evaluate the products
Shaded region area = (4x^2 + 14x) - (x^2 + 8x)
Open the bracket
Shaded region area = 4x^2 + 14x - x^2 - 8x
Collect the like terms
Shaded region area = 4x^2 - x^2 + 14x - 8x
Evaluate the like terms
Shaded region area = 3x^2 + 6x
Hence, the area of the shaded region is 3x^2 + 6x
Read more about areas at:
brainly.com/question/25292087
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Answer:
the answer is 4k^2+9k+108
Step-by-step explanation:
Answer:
Formula is 4/3×pi×r^3
Volume of sphere is 17157.3 in
Step-by-step explanation:
Use the formula
4/3×3.1416×16×16×16
4/3×3.1416×4096
4/3×12867.9936
51471.9744/3
17157.3248
Approx 17157.3
Answer:
4/9*pi or 1.395
Step-by-step explanation:
We have that area of the circle, that 4 * pi, we can calculate the radius of the circle, knowing that:
A = pi * r ^ 2
replacing:
4 * pi = pi * r ^ 2
r ^ 2 = 4 * pi / pi
r ^ 2 = 4
r = 2
Therefore, knowing the radius, we can calculate the perimeter:
P = 2 * pi * r
replacing:
P = 4 * pi
That is the perimeter of the whole circle, that is to say 360 °, therefore for 40 ° it would be:
4 * pi * 40 ° / 360 ° = 4/9 * pi
That is to say that the perimeter of the sector of 40 ° is 4/9 * pi, if pi is 3.14 it would be:
4/9 * 3.14 = 1.395
