Given x^2 + y^2 = 16, findname:center:Domain:Range:x-inty-int
2 answers:
Answer:
see explanation
Step-by-step explanation:
The equation of a circle centred at the origin is
x² + y² = r² ( r is the radius )
x² + y² = 16 ← is the equation of a circle
centre (0, 0 ) and r = = 4
The circle therefore intercepts the x- axis at (4, 0 ) and (4, 0 )
and intercepts the y- axis at (0, - 4 ) and (0, 4 )
Domain is - 4 ≤ x ≤ 4
range is - 4 ≤ y ≤ 4
x- intercepts are x = - 4, x = 4
y- intercepts are - 4, 4
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Answer:
<em>The building is 61.5 m tall</em>
Step-by-step explanation:
The image below is a diagram where all the given distances and angles are shown. We have additionally added some variables:
h = height of the building
a, b = internal angles of each triangle
x = base of each triangle
The angles a and b can be easily found by subtracting the given angles from 90° since they are complementary angles, thus:
a = 90° - 37° = 53°
b = 90° - 42° = 48°
Now we apply the tangent ratio on both triangles separately:
From the last equation:
Substituting into the first equation:
Operating on the right side:
Rearranging:
Solving for h:
Calculating:
h = 61.5 m
The building is 61.5 m tall
Answer:
C
Step-by-step explanation:
In the picture above.
