Answer:
Tan θ = y/z
Step-by-step explanation:
Reference angle = θ
Opposite side to θ = y
Adjacent side = z
Thus:
Tan θ = opposite/adjacent
Tan θ = y/z
The Pythagorean Theorem states that a² + b² = c², c being the hypotenuse.
Substitute known values into the equation.
7² + 2² = c²
49 + 4 = c²
c² = 53
c = √53
c = 7.28010989
Answer: The hypotenuse's length is 7.3 feet.
Answer:

Step-by-step explanation:
The equation of a circle:

<em>(h, k)</em><em> - center</em>
<em>r</em><em> - radius</em>
<em />
We have diameter endpoints.
Half the length of the diameter is the length of the radius.
The center of the diameter is the center of the circle.
The formula of a distance between two points:

Substitute the coordinates of the given points (-8, 2) and (-2, 6):

The radius:

The formula of a midpoint:

Substitute:


Finally:

Answer:
a-x
b-/
Step-by-step explanation:
64/4x4=64
625x25/25=625
Answer:
p+q = 38/15
Step-by-step explanation:
2/3+p = 1. p = 1 - 2/3
4/5 + q = 3. q = 3 - 4/5
p + q = 1 - 2/3 + 3 - 4/5
-2/3 - 4/5 (common denominator = 15)
4 - 10/15 - 12/15 = 4 - 22/15
4 - 22/15 = (4*15 - 22)/15
= 38/15