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2 years ago

Write the equation of a line that goes through point (4,0) and has an undefined slope.

Mathematics

1 answer:

NikAS [45]2 years ago

7 0

Answer:

gostaria que

Step-by-step explanation:

O×=4 oiii não pode mais usar a Internet no computador

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A pendulum is set swinging. its first oscillation is through 30 and each succeeding oscillation is through 95% of the angle of t

Marat540 [252]

Answer-

After 76 swings the angle through which it swings less than 1°

Solution-

From the question,

Angle of the first of swing = 30° and then each succeeding oscillation is through 95% of the angle of the one before it.

So the angle of the second swing = $(30\times \frac{95}{100})^{\circ}$

Then the angle of third swing = $(30\times (\frac{95}{100})^2)^{\circ}$

So, this follows a Geometric Progression.

$(30,\ 30\cdot \frac{95}{100},\ 30\cdot (\frac{95}{100})^2............,0)$

a = The initial term = 30

r = Common ratio = $\frac{95}{100}$

As we have to find the number swings when the angle swept by the pendulum is less than 1°.

So we have the nth number is the series as 1, applying the formula

$T_n=ar^{n-1}$

Putting the values,

$\Rightarrow 1=30(\frac{95}{100})^{n-1}$

$\Rightarrow \frac{1}{30} =(\frac{95}{100})^{n-1}$

Taking logarithm of both sides,

$\Rightarrow \log \frac{1}{30} =\log (\frac{95}{100})^{n-1}$

$\Rightarrow \log \frac{1}{30} =(n-1)\log (\frac{95}{100})$

$\Rightarrow -1.5=(n-1)(-0.02)$

$\Rightarrow 1.5=(n-1)(0.02)$

$\Rightarrow n-1=\dfrac{1.5}{0.02}$

$\Rightarrow n-1=75$

$\Rightarrow n=76$

Therefore, after 76 swings the angle through which it swings less than 1°

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2 years ago

Daniel is 16. His parents are both the same age. The 3 of them have lived a 3

Ahat [919]

Answer:

each of his parents are 42 years old.

Step-by-step explanation:

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2 years ago

Which of the following is an arithmetic sequence?–20, –25, –30, –35, –45, ...

timurjin [86]

B) -15.6,-12.9,-10.2,-7.5,-4.8

This is an arithmetic sequence.

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3 years ago

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FIND THE VOLUME OF A PRISM-SHAPED WATERMELON IN CUBIC INCHES IF ITS LENGTH IS 10 INCHES ITS WIDTH IS 2/3 FOOT AND ITS HIEGHT IS

svetlana [45]

The way to find Volume is V=lwh so plug in the length, width and height( V=(10)x(2/3)x(9) ) and you'll get your answer.

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2 years ago

Behavior patterns which are already present at birth are called ____

PIT_PIT [208]

Answer:

instincts

Step-by-step explanation:

i luv u!

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2 years ago