ST is not he midpoint of SN because y=15 and if you plug in you get SN to be 150 but ST is only 64 which is not half of 150
Answer:
The change in the height of the seat of the Ferris wheel is a reduction in height of approximately 74.25 feet
Step-by-step explanation:
The given information are;
The position of the seat on the Ferris wheel = The center level of the wheel
The diameter of the Ferris wheel = 210 feet
The angle of rotation of the wheel = 45° counterclockwise
The height of a point on the Ferris wheel is given by the relation;
h = A·cos(b·x + c) + d
With regards to the question, we have;
h = The height of the seat of the Ferris wheel
A = The amplitude = 1/2 × The diameter of the wheel = 210/2 = 105 feet
360/b = The period
c = The phase shift = 90°
d = The mid line = 0
For a rotation of 45° counterclockwise or-45° clockwise, we have;
b·x = 45°, therefore;
h = 105 × cos(45° + 90°) + 0 = 105 × cos(135°) + 0
h = 105 × cos(135°) ≈ -74.25 feet
Therefore, the height of the seat of the Ferris wheel reduces by 74.246 feet.
Answer:
<em>y</em><em>=</em><em> </em><em>125</em><em>°</em>
<em>x</em><em>=</em><em> </em><em>110</em><em>°</em>
<em>have a nice day</em><em> </em>
Answer:
A.) 15
B.) 1 year
C.) $50
D.) 1.5%
Step-by-step explanation:
The percentage equation goes thus:
Interest earned = principal * rate * time
A)
Principal: $100 Interest rate: 5% Time in years: 3 Interest earned
Interest earned = $100 * 0.05 * 3
Interest earned = $15
B.)
Principa;" $500 Interest rate: 4% Time in years: interest earned: $20
Interest earned = principal * rate * time
20 = 500 * 0.04 * time
20 = 20 * time
Time = 20 / 20 = 1
Time = 1 year
C.)
Principal: Interest rate:10% Time in years: 7 Interest earned:$35
Interest earned = principal * rate * time
$35 = principal * 0.1 * 7
$35 = principal * 0.7
Principal = $35 / 0.7
Principal = $50
D.)
Principal: $200 Interest rate: Time in years:2 Interest earned: $6
Interest earned = principal * rate * time
$6 = $200 * rate * 2
$6 = $400 * rate
Rate = $6/$400
Rate = 0.015 = 1.5%
Answer:
the parabola can be written as:
f(x) = y = a*x^2 + b*x + c
first step.
find the vertex at:
x = -b/2a
the vertex will be the point (-b/2a, f(-b/2a))
now, if a is positive, then the arms of the parabola go up, if a is negative, the arms of the parabola go down.
The next step is to see if we have real roots by using the Bhaskara's equation:
Now, draw the vertex, after that draw the values of the roots in the x-axis, and now conect the points with the general draw of the parabola.
If you do not have any real roots, you can feed into the parabola some different values of x around the vertex
for example at:
x = (-b/2a) + 1 and x = (-b/2a) - 1
those two values should give the same value of y, and now you can connect the vertex with those two points.
If you want a more exact drawing, you can add more points (like x = (-b/2a) + 3 and x = (-b/2a) - 3) and connect them, as more points you add, the best sketch you will have.
