Given:

Circular picture:

diameter = 8 inches

radius = d/2 = 8/2 = 4 inches

Part 1:

Area of a circle = π r²

A = 3.14 * 4²

A = 3.14 * 16 in² ⇒ Choice C.

**A = 50.24 in²**

Part 2.

Additional 2 inches surrounds the circular picture.

radius = 4 + 2 = 6 inches

A = 3.14 * 6²

A = 3.14 * 36in² ⇒ CHOICE C.

**A = 113.04 in²**

**Answer:**

8

**Step-by-step explanation:**

Add the whole numbers:

5 + 2 = 7

Add the fractions:

2/5 + 3/5 = 5/5 = 1

Add these together:

7 + 1 = 8

Hope this helps!

**Answer:**

D

**Step-by-step explanation:**

Using the product to sum formula

• 2cosAcosB = cos(A+B) + cos(A - B)

note that cos(- 3m) = cos 3m, hence

cos5m cos(- 3m)

= cos 5m cos3m ← A = 5m and B = 3m

= ( 5m + 3m) + cos(5m - 3m) ]

= cos 8m + cos 2m