Find the area and the perimeter of the figure. Use in terms of pi. (no approximations)

See below.

Step-by-step explanation:

So first, we can separate the entire figure into a semi-circle and an isosceles triangle.

AREA:

The area for a semi-circle is .

The diameter is 8cm, so the radius is 4cm.

Area of the semi-circle is:

The area for a triangle is .

The base is the same as the diameter (8), and we are given the height as 10. Thus:

The total area is

PERIMETER:

The perimeter of a semicircle is: (this is derived from dividing the circumference by 2 and then adding on the diameter).

Thus, the perimeter is:

However, we ignore the 8 since the 8 is not part of the perimeter.

The perimeter of the triangle is the two slant lengths. We know the base and the height, so we can use the Pythagorean Theorem:

Two of them will be

Thus, the total perimeter is

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.