They gave you an eqution with variables and then they gave you numbers that all you have to do is put in
k(h-j)+h
5(5-4)+5
5(1)+5
5+5
10
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
No. AB is not perpendicular to AC
4x^2 + 2x = -9
4x^2 + 2x + 9 = 0
remember that the form of quadratic is ax^2 + bx + c = 0
so
a = 4
b = 2
c = 9
Answer:
(0,3) and (7,0) are solutions.
Step-by-step explanation:
In a pair of coordinates, they are always listed as (x,y). Since this is the case, you plug in each coordinate to their respective places.
For (0,3)
3(0) + 7(3) = 21
0 + 21 = 21
For (7,0)
3(7) + 7(0) = 21
21 + 0 = 21
To double check that (1,2) isn't a solution:
3(1) + 7(2) = 21
3 + 14 = 21
17 = 21 X
This doesn't work.
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