8 foot path
1st step = 8/2 = 4ft
2nd step = 4/2 = 2ft
3rd step = 2/2 = 1ft
4th step = 1/2 = 1/2ft
So he covered 7 1/2 ft (or 7.5ft)
Answer:
9/18, 19/16, 5/4, 3/2
Step-by-step explanation:
5. Given the equation y = (1/4) cos[(2pi/3)*theta]:
5a. For the general equation y = a cos(bx), the period is given by 2pi/b. In this equation, b = 2pi/3, so this means that 2pi/b = 2pi/(2pi/3) = 3. Therefore, the period of this equation is 3, and the cosine wave repeats itself every 3 x-units.
5b. For the general equation y = a cos(bx), the amplitude is given by a. Therefore the amplitude is a = 1/4, and this means that the cosine wave's range is from -1/4 to 1/4 for all values of x.
5c. The equation of the midline is y = 0. This represents the average value over the wave. This is determined by adding the highest and lowest values of the range and taking the average, in this case, 1/4 + (-1/4) = 0, and 0 / 2 = 0. Another way to do this is using the general equation y = a cos(bx) + c, where the midline's equation is y = c. In this case, there is no value of c in the given, implying that c = 0, and the midline is y = 0.
6. Let the horizontal distance be x. Then tan42 = h/x, and h = x tan42. Then using the Pythagorean theorem: 3280^2 = h^2 + x^2
3280^2 = x^2 (tan42)^2 + x^2
3280^2 = x^2 [(tan42)^2 + 1]
x = 2437.52
Therefore, h = x tan42 = 2,194.75 ft.
- 3/14 is your final answer.
Answer:
<em>Student 3 had the greatest percentage error.</em>
Step-by-step explanation:
<u>Student 1</u>
Actual length = 50in
Measured length = 49in
Error = 50 - 49 = 1
Error% = 1/50 × 100
= 1 × 2
= 2%
<u>Student</u><u> </u><u>2</u>
Actual length = 100cm
Measured length = 110cm
Error = 100 - 110 = 10
Error% = 10/100 × 100
= 10 × 1
= 10%
<u>Student</u><u> </u><u>3</u>
Actual length = 2cm
Measured length = 2.5cm
Error = 2 - 2.5 = 0.5
Error% = 0.5/2 × 100
= 0.5 × 50
= 25%
<u>Student</u><u> </u><u>4</u>
Actual length = 10ft
Measured length = 9½ft
Error = 10 - 9½ = ½
Error% = ½/10 × 100
= ½ × 10
= 1 × 5
= 5%
#teamtrees#WAP
