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3 years ago

Write an expression describing all the angles that are coterminal with 141°.

1 answer:

7 0

<span>The coterminal angles of angle A are given by adding k times 360° to it, where k is an integer, positive or negative. Similarly, all angles that are coterminal with 141° are given by 141° + k * 360° where k is a positive or negative integer. That is 141° + 360°, 141 + 2*360° , 141+3*360° and so on and 141° - 360°, 141° -2*360°, 141° - 3*360° and so on. 9720)</span>

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Find the solution(s) to the equation below. Select all that apply. x2−6=5x

BaLLatris [955]

Answer:

x2-6=5x

10x=5x

50x-6=44x

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2 years ago

Hi can someone plz help with #9. Thank you!!!!

Tcecarenko [31]

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3 years ago

A sound wave travels through iron at a rate of 5120\,\dfrac{\text{m}}{\text{s}}5120 s m 5120, start fraction, start text, m, e

klio [65]

Answer:

18432 km/h

Step-by-step explanation:

It is given that a sound wave travels through iron at a rate of 5120 m/s.

We know that

1 km = 1000 m

1 hour = 60 minutes

1 minutes = 60 second

Using these conversions we get

1 m = 0.001 km

1 hour = 3600 second

$5120\text{ m/s }=5120\times 0.001\times 3600\text{ km/h}$

$5120\text{ m/s }=18432\text{ km/h}$

Therefore, the sound wave travels through iron at a rate of 18432 km/h.

6 0

3 years ago

For every 20 penguins at the North Pole there are 9 polar bears. If you encountered 27 polar bears, how many penguins would you

cluponka [151]

Answer:

60 penguins

Step-by-step explanation:

We need to find out how many times 9, the number of polar bears for every 20 penguins, was multiplied by, so that we can multiply 20 penguins by the same amount.

27/9 = 3

20*3 = 60

5 0

3 years ago

Read 2 more answers

.<br> Evaluate the series 1 + 0.1 + 0.01 + . . .

EastWind [94]

We can employ a simple repeated decimal trick:

$x=1.111\ldots$

$0.1x=0.111\ldots$

$\implies x-0.1x=1\implies0.9x=1\implies x=\dfrac1{0.9}=\dfrac{10}9$

###

Alternatively, we can compute the partial sum of the series.

$\displaystyle S_n=\sum_{k=0}^n\dfrac1{10^k}$

$S_n=1+0.1+0.01+\cdots+\dfrac1{10^n}$

$0.1S_n=0.1+0.01+0.001+\cdots+\dfrac1{10^{n+1}}$

$\implies S_n-0.1S_n=0.9S_n=1-\dfrac1{10^{n+1}}$

$\implies S_n=\dfrac{10}9-\dfrac9{10^n}$

As $n\to\infty$ , the second term vanishes and we're left with $\dfrac{10}9$ . Notice that this is really just a more formal version of the earlier trick.

6 0

3 years ago

Read 2 more answers