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Zielflug [23.3K]

2 years ago

7

Suppose you have a mailing that you want to weigh no more

1 answer:

sertanlavr [38]2 years ago

7 0

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A Ferris wheel has a radius of 10 m, and the bottom of the wheel passes 1 m above the ground. If the Ferris wheel makes one comp

Morgarella [4.7K]

Answer:

$y = 11 - 10cos(0.1\pi t)$

Step-by-step explanation:

Suppose at t = 0 the person is 1m above the ground and going up

Knowing that the wheel completes 1 revolution every 20s and 1 revolution = 2π rad in angle, we can calculate the angular speed

2π / 20 = 0.1π rad/s

The height above ground would be the sum of the vertical distance from the ground to the bottom of the wheel and the vertical distance from the bottom of the wheel to the person, which is the wheel radius subtracted by the vertical distance of the person to the center of the wheel.

$y = h_g + d_b = h_g + R - d_c$ (1)

where $h_g = 1$ is vertical distance from the ground to the bottom of the wheel, $d_b$ is the vertical distance from the bottom of the wheel to the person, R = 10 is the wheel radius, $d_c$ is the vertical distance of the person to the center of the wheel.

So solve for $d_c$ in term of t, we just need to find the cosine of angle θ it has swept after time t and multiply it with R

$d_c = Rcos(\theta(t)) = Rcos(\omega t) = 10cos(0.1\pi t)$

Note that $d_c$ is negative when angle θ gets between π/2 (90 degrees) and 3π/2 (270 degrees) but that is expected since it would mean adding the vertical distance to the wheel radius.

Therefore, if we plug this into equation (1) then

$y = h_g + R - d_c = 1 + 10 - 10cos(0.1\pi t) = 11 - 10cos(0.1\pi t)$

7 0

2 years ago

1. Determine whether line KM and line ST are Parallel, Pers

Andrews [41]

Answer:

Since the slope of KM and ST are different, they are not parallel

Step-by-step explanation:

Slope of line KM = $\frac{5}{8}$

Slope of ST = $-\frac{8}{5}$

Determine whether the lines are perpendicular;

Solution:

We can use the slope of a line to determine whether they are perpendicular or parallel to one another.

Parallel lines do not meet one another

Perpendicular lines cross one another at an angle of 90°

Two lines are parallel if their slopes are the same;

Since the slope of KM and ST are different, they are not parallel

7 0

2 years ago

A library just hired Brittany to write reviews on different books. The job requires her to read 3 books/week. If Brittany reads

Alexus [3.1K]

Answer:

36 books in 12 weeks

Step-by-step explanation:

All you have to do is multiply 3 books a week by 12 weeks....

1 week 3b 7 weeks 21b

2 weeks 6b 8 weeks 24b

3 weeks 9b 9 weeks 27b

4 weeks 12b 10 weeks 30b

5 weeks 15b 11 weeks 33b

6 weeks 18b 12 weeks 36b

8 0

2 years ago

Read 2 more answers

The expression 4x gives the perimeter of a square with a side length of x units.

kykrilka [37]

Answer:

Perimeter of square is $\frac{20}{7} \ units \approx2.86\ units.$

Step-by-step explanation:

Given:

Perimeter of square = $4x$

where side length = 'x' units.

We need to find the Perimeter of square with side length $\frac{5}{7}$

Now We know that;

$x= \frac{5}{7}$

Substituting the value of x in perimeter of square formula we get;

Perimeter of square = $4\times\frac{5}{7} = \frac{20}{7} \ units \approx2.86\ units.$

Hence Perimeter of square is $\frac{20}{7} \ units \approx2.86\ units.$

5 0

3 years ago

The first four terms in an arithmetic sequence are -3,-10,-17 and -24.which expression can be used to find the nth term? what is

Oxana [17]

Answer:The answer is B) -3+(n-1)(-7);-171

Step-by-step explanation:

4 0

2 years ago