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PolarNik [594]
3 years ago
7

A pendulum clock is a clock that uses a swinging weight (a pendulum) as its

Mathematics
1 answer:
Gnoma [55]3 years ago
7 0

Answer: x(t) = 5cm*cos(t*pi/2s)

Step-by-step explanation:

This is a sinusoidal equation, so we can write this as:

x(t) = A*cos(c*t + p)  + B

where B is the axis around the movement, as the resting position is x = 0, we have B = 0

so x(t) = A*cos(c*t + p)

A is the amplitude of the oscilation, c is the frequency and p is a phase.

We know that when t = 0s, we have x(2s) = 5cm

if this is the maximum displacement, then knowing that the maximum of the cosine is cos(0) = 1

then we must have that p = 0

x(0s) = A*cos(0) = 5cm

then we have A = 5cm

Now, when t = 2s, we have:

x(2s) = 5cm*cos(2s*c) = -5cm

then 2s*c is the minimum of the cos(x) function, this is:

cos(pi) = -1

then 2s*c = pi

c = pi/2s.

then our function is:

x(t) = 5cm*cos(t*pi/2s)

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What number solves the equation x – 21 = 43
sdas [7]

Answer:

<u>64 - 21 = 42 </u>

Step-by-step explanation:

<u>x = 64 </u>

- Hope this helped! ^ω^

3 0
3 years ago
Read 2 more answers
What’s the Perimeter and the Area
Leno4ka [110]

Triangle Perimeter: Add up the sides of the triangle.

26 + 24 + 10 = 60

The triangles perimeter is 60.

Triangle Area: height * base divided by 2

10 * 24 = 240

240/2 = 120

The triangles area is 120.

3 0
3 years ago
Find the 17th term in the sequence for which a1 = 10 and d = -3.
yKpoI14uk [10]

Answer:

d. -38

Step-by-step explanation:

Arithmetic sequence concepts:

The general rule of an arithmetic sequence is as follows:

a_{n+1} = a_{n} + d

In which d is the common diference between each term.

We can expand the general equation to find the nth term from the first, by the following equation:

a_{n} = a_{1} + (n-1)*d

In this question:

a_{1} = 10, d = -3

17th term:

a_{17} = a_{1} + (17-1)*d = 10 + 16*(-3) = -38

So the correct answer is:

d. -38

6 0
3 years ago
A contractor charges $1,200 for 100 swat feet of roofing installed. At this rate, how much does it cost to have 1,000 square fee
Oliga [24]

Answer:

12000

Step-by-step explanation:

1200=100

x=1000

x=100*1200/100

3 0
3 years ago
If the exterior angle of a regular polygon is 7.2 degrees, what is the name of that polygon?
kirill [66]

A regular polygon with exterior angle of 7.2 degrees is a 50-gon.

<h3>Regular polygon</h3>

Regular polygon are polygon that are equiangular. This simply means they are polygon with equal angles.

The formula to find the number of sides of a polygon using exterior angle is as follows:

  • exterior angle = 360 / n

where

n = number of sides

Therefore,

7.2 = 360 / n

cross multiply

7.2n = 360

divide both sides by 7.2

n = 360 / 7.2

n = 50

The polygon has 50 sides. Therefore, it is a 50-gon

learn more on polygon here: brainly.com/question/12105506

8 0
2 years ago
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