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3 years ago

PLEASE ANSER THIS ASAP no files please

Mathematics

1 answer:

neonofarm [45]3 years ago

3 0

10. D. Use inverse operations
D. Reverse

Hopefully this helps!

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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°

8 0

3 years ago

Use the digits 0 - 9 to write five decimal numbers that arranged in ascending order.use each digit once in each decimal number.

Kryger [21]

Answer:

0.1, 2.3, 4.5, 6.7, 8.9

1.0, 3.2, 5.4, 7.6, 9.8

4 0

3 years ago

What is the solution to the expression –2 – 3 – (–4)?

Contact [7]

-2 - 3 -(-4)= -2 - 3 + 4
-2 - 3 + 4
-5 + 4
= -1

7 0

4 years ago

Read 2 more answers

Can anyone please help me with these sums? I need it fast......Please give correct answers only. I will give brainliest.

soldier1979 [14.2K]

Answer:

rise/run= -20/5= -4/1=-4 slope

or you sound use the slope formula (y2-y1)/(x2-x1)

(-9-11)/(1+4)

-20/5

-4

Step-by-step explanation:

3 0

3 years ago

8090 [49]

Answer:

A( multiply both sides by 6)

As seen , the L.C.M is 6 so to do away with the fractional form, we will multiply by 6

5 0

3 years ago