<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:
This is a right triangle
Step-by-step explanation:
We will use the Pythagorean theorem
a^2 + b^2 = c^2
If this is true it is a right triangle
5^2 + 12^2 = 13^2
25+144 = 169
169 =169
This is true so this is a right triangle
Answer: x = 2
<u>Step-by-step explanation:</u>

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Answer: x = 0
<u>Step-by-step explanation:</u>

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Answer: No Solution
<u>Step-by-step explanation:</u>

********************************************************************************
Answer: No Solution
<u>Step-by-step explanation:</u>
<u>
</u>
<u />
To find our solution, we can start off by creating a string of 27 boxes, all followed by the letters of the alphabet. Underneath the boxes, we can place 6 pairs of boxes and 15 empty boxes.The stars represent the six letters we pick. The empty boxes to the left of the stars provide the "padding" needed to ensure that no two adjacent letters are chosen. We can create this -

Thus, the answer is that there are

ways to choose a set of six letters such that no two letters in the set are adjacent in the alphabet. Hope this helped and have a phenomenal New Year!
<em>2018</em>
Answer:
(x - 3)² + (y + 9)² = 25
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
Given area = 25π , that is
πr² = 25π ( divide both sides by π )
r² = 25 ( take the square root of both sides )
r =
= 5
With centre (h, k) = (3, - 9 ) and r = 5 , then
(x - 3)² + (y - (- 9) )² = 5² , that is
(x - 3)² + (y + 9)² = 25