Answer: Can you give more detail
Step-by-step explanation:
Answer:
Larissa takes 59.141 seconds to complete both laps.
Step-by-step explanation:
The complete time is the sum of time taken on each lap. We translate the two statements into mathematical expressions to determine the required output:
(i) <em>She completes her first lap in 31.135 seconds</em>:
(ii) <em>She completes her second lap 3.129 seconds faster than the first lap</em>:
Then, the time taken by Larissa to complete both laps is:
Larissa takes 59.141 seconds to complete both laps.
Answer: The area of Figure ABCDE is 79.5 square units.
Step-by-step explanation:
<em>Triangle ABC is the top triangle of Figure ABCDE.</em>
<u>Triangle ACD is the triangle on the right of Figure ABCDE.</u>
Triangle AED is the triangle on the bottom left of Figure ABCDE.
So, we need to add <em>23.85</em>, <u>29.4</u>, and 26.25 to get the area of Figure ABCDE!
23.85 + 29.4 + 26.25 = 79.5
Answer:
<u><em>y = -190 cos(π t / 120) + 195</em></u>
Step-by-step explanation:
<em>General form of a sinusoidal function: y = A cos(Bt - C) + D
</em>
<em>
</em>
<em>Now generally a cosine function starts at the maximum value, so to start at the minimum value, flip the cosine function by making it negative.
</em>
<em>
</em>
<em>A is the amplitude of the curve and will be the radius of the ferris wheel. Therefore, A = 380 / 2 = 190 feet.
</em>
<em>
</em>
<em>
2π / B is the period of the curve and will be the time to complete one full rotation. The time to complete one full rotation is given as 4 minutes. Convert this into seconds to get period = 4 minutes * (60 seconds / minute) = 240 seconds. Therefore, B = 2π / period = 2π / 240 seconds = π / 120.
</em>
<em>
</em>
<em>
C/B is the phase shift, or horizontal shift of the graph. Since the negative cosine function already starts at the minimum value, there is no phase shift so C/B = 0, meaning C = 0.
</em>
<em>
</em>
<em>
D is the vertical shift and will be the height of the center of the ferris wheel. Therefore, D = 195 feet.
</em>
<em>
</em>
<em>
Your final function will be:</em>
<u><em>y = -190 cos(π t / 120) + 195</em></u>
All the angles inside a quadrilateral add to 360 degrees.
But first, we should solve for x
Opposite angles add up to 180 degrees.
So we'll use angles B and D
x + 10 + x + 24 = 180
combine like terms
2x + 34 = 180
subtract 34 from both sides
2x = 146
divide both sides by 2
x = 73
Now let's solve for the angles
Angle D: x + 24 = 97
Angle B: x + 10 = 83
Angle A: x + 15 = 88
Opposite angles add up to 180
we know that angle A is 88
C + 88 = 180
subtract 88 from both sides
C = 92
Hope this helps!
