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4 years ago

6 over 26 as a decimal

Mathematics

1 answer:

vodomira [7]4 years ago

3 0

I think the answer to your question would be 4.2

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The staff commute to work in different ways 2/5 drive, 4/15 catch the bus and 1/3 cycle

gavmur [86]

Answer:

2/5, 1/3 4/15

Step-by-step explanation:

3x2/5=6/15

5x1/3=5/15

4/15

4 0

3 years ago

Read 2 more answers

Solve: 2cos(x)-square root 3=0 for 0 less than x less than 2 pi

Leona [35]

Answer:

The general solution of $cos x = cos(\frac{\pi }{6})$ is

x = 2nπ± $\frac{\pi }{6}$

The general solution values

$x = - \frac{\pi }{6} and x = \frac{\pi }{6}$

Step-by-step explanation:

Explanation:-

Given equation is

$2cosx-\sqrt{3} =0 for 0$

$2cosx =\sqrt{3}$

Dividing '2' on both sides, we get

$cos x =\frac{\sqrt{3} }{2}$

$cos x = cos(\frac{\pi }{6})$

General solution of cos θ = cos ∝ is θ = 2nπ±∝

Now The general solution of $cos x = cos(\frac{\pi }{6})$ is

x = 2nπ± $\frac{\pi }{6}$

put n=0

$x = - \frac{\pi }{6} and x = \frac{\pi }{6}$

Put n=1

$x = 2\pi +\frac{\pi }{6} = \frac{13\pi }{6}$

$x = 2\pi -\frac{\pi }{6} = \frac{11\pi }{6}$

put n=2

$x = 4\pi +\frac{\pi }{6} = \frac{25\pi }{6}$

$x = 4\pi -\frac{\pi }{6} = \frac{23\pi }{6}$

And so on

But given 0 < x< 2π

The general solution values

$x = - \frac{\pi }{6} and x = \frac{\pi }{6}$

6 0

3 years ago

Identify the pattern then write the next three terms in each sequence 2,8,32,128

Allisa [31]

Step-by-step explanation:

the difference is the previous term multiplied by 4 to get the next term

2,8,32,128,512,2048,8192

Hope that helps :)

3 0

3 years ago

Trees are planted at intervals of 5 m along side of a 140 m straight path. The first tree is planted at the start of the path an

Luden [163]

<h3>Solution :</h3>

Distance between first tree and last tree is 140m .

And distance between each tree (d) = 5 m

let's solve for number of trees (n) :

$\hookrightarrow \: (n - 1)d = 140$

$\hookrightarrow \: (n - 1)5 = 140$

$\hookrightarrow \: n - 1 = \dfrac{140}{5}$

$\hookrightarrow \: n = 28 + 1$

$\hookrightarrow \: n = 29$

hence, total number of trees = 29.

4 0

3 years ago

Find the sum of 1 + 3/2 + 9/4 + …, if it exists.

zmey [24]

Answer:

Option (4)

Step-by-step explanation:

Given sequence is,

$1+\frac{3}{2}+\frac{9}{4}..........$

We can rewrite this sequence as,

$1+\frac{3}{2}+(\frac{3}{2})^2.............$

There is a common ratio between the successive term and the previous term,

r = $\frac{\frac{3}{2}}{1}$

r = $\frac{3}{2}$

Therefore, it's a geometric sequence with infinite terms. In other words it's a geometric series.

Since sum of infinite geometric sequence is represented by the formula,

$S_{n}=\frac{a}{1-r}$ , when r < 1

where 'a' = first term of the sequence

r = common ratio

Since common ratio of the given infinite series is greater than 1 which makes the series divergent.

Therefore, sum of infinite terms of a series will be infinite Or the sum is not possible.

Option (4) will be the answer.

3 0

4 years ago