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k0ka [10]
2 years ago
12

A pendulum 18 cm in length swings 72 degrees from right to left. What is the

Mathematics
1 answer:
fenix001 [56]2 years ago
6 0

Answer:

3.44 cm

Step-by-step explanation:

When the pendulum is at its lowest point, the vertical length of the pendulum is L.

When the pendulum is at its highest point, the vertical length of the pendulum is  L cos θ.

So the height difference of the pendulum between its lowest and highest points is h = L − L cos θ.

The pendulum swings 72° from right to left, or 36° from the vertical.

The length of the pendulum is 18 cm.

So the height is:

h = L − L cos θ

h = 18 − 18 cos 36°

h = 3.44

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The population of Maricopa County has been increasing for the past few decades. In 2016, the Maricopa County population is appro
maria [59]

Answer: 3,965,481

Step-by-step explanation:

Given:  In 2016, the Maricopa County population is approximately 3.817 million.

i.e. Initial population= 3.817 million =3,817,000

Of the population increases from the current population by 3.89 % over the next 5 years,

Population increased = 3.89% of 3,817,000

= 0.0389 (3817000)

= 148481.3 ≈ 148481

Population in 2021= 3,817,000 +148,481 =3,965,481

Hence, the population in 2021 =  3,965,481

3 0
2 years ago
Which statement about a dilation with a scale factor of 3 is true?
Valentin [98]

Given :   dilation with a scale factor of 3

To find :  Which statement is true

Solution:

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size

if Dilation factor  N then image Size is multiplied  by  N

if Scale factor  < 1 then image get reduced

if scale factor > 1  then image get enlarged

scale factor = 1 lead to Same size image

Here is given that Scale factor of 3

=> image will be enlarged to 3 times the original image

Hence correct option is :

C)Each side in the pre-image is multiplied by three to find the corresponding side length in the image

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6 0
1 year ago
What is the coefficient of y in the expression 2x4+3y
coldgirl [10]

Answer:

3

Step-by-step explanation:

5 0
3 years ago
If AC = 24, find the value of x. Then find AB and BC
anzhelika [568]

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, the correct question is:

If B is between A and C, and AB=3x+1, BC=2x-7, and AC=24, then find the value of x and the value of AB

Answer: The line segment addition postulate states that if a point B is placed between a line segment with end points A and C, then the distance between the points can be expressed by the equation:

AB + BC = AC

But AB=3x+1, BC=2x-7, and AC=24, Hence:

3x + 1 + 2x - 7 = 24

3x + 2x + 1 - 7 = 24

5x - 6 = 24

5x = 24 + 6

5x = 30

x = 6

AB = 3x + 1 = 3(6) + 1 = 18 + 1 = 19

BC = 2x - 7 = 2(6) - 7 = 12 - 7 = 5

5 0
3 years ago
What is Probability?​
nataly862011 [7]
Probability is about estimating or calculating how likely or 'probable' something is to happen.
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2 years ago
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