<h2>
Answer:</h2><h2>The angle of depression from the hiker to his car,
Θ = 56.39 degrees</h2>
Step-by-step explanation:
A hiker at the top of a mountain spots his car back in the parking lot at the
bottom of the trail. If the trail is 632 meters long and the mountain is 420
meters tall,
opposite side = 632 m
adjacent side = 420 m
Angle of depression, Θ = arctan 
= arctan 
Θ = 56.39 degrees
Answer:
15/2
Step-by-step explanation:
The commutative property of addition means the order of the addends doesn't matter; we get the same sum. In symbols

<span>11 + 7 = 7 + 11, choice B, is a good illustration of commutativity.
The next part asks us to use the commutative property. Looking at the choices, we see it's not the commutative property of addition we're to use, it's the commutative property of multiplication. Let's write that generally first:
</span>

Applying that, <span>(4 + 7) * 3 = 3*(4+7), again choice B.
</span>
193.75 miles cause 7.75 * .5 = 3.875 and 3.875* 50 = 193.75
Answer:
Part 1) 
Part 2) 
Part 3) 
Part 4) 
Part 5) 
Part 6) 
Step-by-step explanation:
Part 1) we know that
The shaded region is equal to the area of the complete rectangle minus the area of the interior rectangle
The area of rectangle is equal to

where
b is the base of rectangle
h is the height of rectangle
so



Part 2) we know that
The shaded region is equal to the area of the complete rectangle minus the area of the interior square
The area of square is equal to

where
b is the length side of the square
so



Part 3) we know that
The area of the shaded region is equal to the area of four rectangles plus the area of one square
so



Part 4) we know that
The shaded region is equal to the area of the complete square minus the area of the interior square
so



Part 5) we know that
The area of the shaded region is equal to the area of triangle minus the area of rectangle
The area of triangle is equal to

where
b is the base of triangle
h is the height of triangle
so



Part 6) we know that
The area of the shaded region is equal to the area of the circle minus the area of rectangle
The area of the circle is equal to

where
r is the radius of the circle
so

