Answer:

Step-by-step explanation:
Given
See attachment
Required
The area of the semicircle
First, we calculate the hypotenuse (h) of the triangle
Considering only the triangle, we have:
--- cosine formula
Make h the subject



The area of the semicircle is then calculated as:

This gives:



Answer: Option D.
Step-by-step explanation:
A figure has a line of symmetry if we can draw a line through the figure, in such way that the line cuts the figure in exactly two equal halves.
Then any figure that can be cutin exactly two halves, is a correct answer to this question.
Then:
For a circle, the line of symmetry is the diameter of the circle.
For the square, the line of symmetry can be obtained by cutting the square with a line that is perpendicular to one of the sides, and cuts that side exactly on the midpoint.
For an equilateral triangle, the line of symmetry is the line that cuts any base in the midpoint and also passes through the opposite vertex.
Then all the figures are correct options, then the correct option is D
Step-by-step explanation:
(a): 5x^2 + 25 = 5 * x^2 + 5 * 5 = 5(x^2 + 5).
(b): 2x^2 - 3x - 2 = 2x^2 - 4x + x - 2
= 2x(x - 2) + 1(x - 2) = (2x + 1)(x - 2).
Hello.
The answer is: yes
A rational number is any number that can be repesented as a fraction. So every integer is also a rational number (because it can be written as a fraction with the denominator 1)
Have a nice day
To make things simple you can first find out what 8 1/16 is. 8 1/16 is approximately 8.0625. Then find what 5 1/2 is which is 5.5. Now all you have to do is subtract 5.5 from 8.0625 (8.0625-5.5) and that should be equal to 2.5625.