Answer:

Step-by-step explanation:
Given



Required
Calculate the perimeter of A B C
To calculate the perimeter of A B C, we sum up the sides of the triangle
i.e.

AB is given in the question already.
So, we need to calculate B F and F C
To solve for BF, we consider triangle B F C
Using Pythagoras Theorem, we have:

Substitute values for BF and FC;





Next, we calculate A C.
To calculate A C, we need to calculate A F, considering triangle B F A
Using Pythagoras Theorem, we have:

Substitute values for B F and A B;






Since F lies on line A C:



Recall that:



<em>Hence, the perimeter is 38.6</em>
14 20
---- = ----- cross multiply
3x x-5
14(x-5) = 3x (20)
14x - 70 = 60x
-14x -14x
-70 = 36x
/36 /36
-70/36 = x
or
-35/18 = x
Answer:
120
Step-by-step explanation:
<2 = 120 degrees
<3 = <2 vertical angles
Assuming b is parallel to c
<3 = <6 alternate interior angles
<6 = <7 vertical angles
<2 = <7 =120
Answer:
The height of the seat at point B above the ground is approximately 218.5 feet
Step-by-step explanation:
The given parameters are;
The radius of the Ferris wheel, r = 125 feet
The angle between each seat, θ = 36°
The height of the Ferris wheel above the ground = 20 feet
Therefore, we have;
The height of the midline, D = The height of the Ferris wheel above the ground + The radius of the Ferris wheel
∴ The height of the midline = 20 feet + 125 feet = 145 feet
The height of the seat at point B above the ground, h = r × sin(θ) + D
By substitution, we have;
h = 125 × sin(36°) + 145 ≈ 218.5 (The answer is rounded to the nearest tenth)
The height of the seat at point B above the ground, h ≈ 218.5 feet.
the tempayure was at six because it was at 92c and went down to -13c then rose 7c so that means it was at 6 by 6 a.m.