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3 years ago

Cos 155 degrees equals

Mathematics

2 answers:

Kay [80]3 years ago

7 0

Answer:

-0.9063077

Step-by-step explanation:

The cos of 155 degrees is equals to -0.9063077

To obtain cos 155 degrees in radian multiply 155 by π/180

cos 155 degrees = (155 /180) π radian

Dividing 155 and 180 by its common factor 5 we will get (31/36)π

so cos 155 in terms of radian is equals (31/36)π

Since our angle is greater than 90 degrees and less than or equals to 180 degrees, it is located in quadrant II . In second quadrant the value of sin are positive only that is why cos 155 is -0.9063077

It can also be solved by using identities of cosine

cos (∅) = sin(∅-90)

putting ∅ = 155, we get

= sin(155-90)

= sin(-65)

= -0.9063077

Margaret [11]3 years ago

5 0

type cos(155) into a calculator

cos(155)= -0.906307787...

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Suppose that the walking step lengths of adult males are normally distributed with a mean of 2.5 feet and a standard deviation o

Hitman42 [59]

Answer:

0.0668 = 6.68% probability that an individual man’s step length is less than 1.9 feet.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Normally distributed with a mean of 2.5 feet and a standard deviation of 0.4 feet.

This means that $\mu = 2.5, \sigma = 0.4$

Find the probability that an individual man’s step length is less than 1.9 feet.

This is the p-value of Z when X = 1.9. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{1.9 - 2.5}{0.4}$

$Z = -1.5$

$Z = -1.5$ has a p-value of 0.0668

0.0668 = 6.68% probability that an individual man’s step length is less than 1.9 feet.

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2 years ago

2x + 4y = 12 y = x – 3 What is the solution to the system of equations?

sergeinik [125]

2x+4y=12
y=x-3

Since we know what y equals, we can plug this into the first equation:
2x+4(x-3)=12
We can then distribute:
2x+4x-12=12
And solve for x:
6x-12=12
6x=24
x=4
We can then plug x into the second equation and find y:
y=x-3
y=4-3
y=1

Therefore x=4 and y=1

8 0

3 years ago

Explain how to get that answer!!

ra1l [238]

We need to simplify $\frac{ \sqrt{14x^3} }{ \sqrt{18x} }$

First lets factor $\sqrt{14x^3}$

$\sqrt{14x^3}$ = $\sqrt{14} \sqrt{x^3}$
$\sqrt{14} = \sqrt{2} \sqrt{7}$ by applying the radical rule $\sqrt[n]{ab} = \sqrt[n]{a} \sqrt[n]{b}$
$\sqrt{x^3} = x^{3/2}$ By applying the radical rule $\sqrt[n]{x^m} = x^{m/n}$

So
$\sqrt{14x^3}$ = $\sqrt{14} \sqrt{x^3}$ = $\sqrt{2} \sqrt{7}x^{3/2}$

Now let's factor $\sqrt{18x}$
By applying the radical rule $\sqrt[n]{ab} = \sqrt[n]{a} \sqrt[n]{b}$ ,
$\sqrt{18x} = \sqrt{18} \sqrt{x}$
$\sqrt{18} = \sqrt{2} * 3$

So $\sqrt{18x}$ = $\sqrt{2}*3 \sqrt{x}$

So $\frac{ \sqrt{14x^3} }{ \sqrt{18x} }$ = $\frac{ \sqrt{2} \sqrt{7} x^{3/2} }{ \sqrt{2}*3 \sqrt{x} }$

We know that $\sqrt[n]{x} = x^{1/n}$ so $\sqrt{x} = x^{1/2}$

We now have $\frac{ \sqrt{2} \sqrt{7} x^{3/2} }{ \sqrt{2}*3 \sqrt{x}} = \frac{ \sqrt{2} \sqrt{7} x^{3/2} }{ \sqrt{2}*3x^{1/2}}$

We know that $\frac{x^a}{x^b} = x^{a-b}$
So $\frac{x^{3/2}}{x^{1/2}} = x^{3/2 - 1/2} = x$

We now got $\frac{ \sqrt{2} \sqrt{7} x^{3/2} }{ \sqrt{2}*3x^{1/2}} = \frac{ \sqrt{2} \sqrt{7} x }{ \sqrt{2}*3}
$

We can notice that the numerator and the denominator both got √2 in a multiplication, so we can simplify them, and we get:
$\frac{ \sqrt{2} \sqrt{7} x }{ \sqrt{2}*3} = \frac{ \sqrt{7}x }{3}$

All in All, we get $\frac{ \sqrt{14x^3} }{ \sqrt{18x} }$ = $\frac{ \sqrt{7}x }{3}$

Hope this helps! :D

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3 years ago

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Zigmanuir [339]

X is equal to the number 1

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3 years ago

Read 2 more answers

The table below shows school T-shirt sales for the past ten weeks. The school wants to make one more order for the next 30 weeks

Marta_Voda [28]

Answer:

Mean =13, Median=9, Mode =7, Range=43

Step-by-step explanation:

$\left\begin{array}{c|cccccccccccc}Month&Sept &Sept& Sep& Oct& Oct &Oct &Oct &Oct &Nov& Nov\\Day&10 &17& 24& 1 &8& 15& 22& 29& 5 &12\\Sales&7 &50 &8& 9& 10& 12 &7& 7 &9& 11\end{array}\right$

(1)Mean

$Mean =\frac{\text{Sum of all the Sales}}{\text{Number of Sales}}$

$=\frac{7+50+8+9+10+12+7+7+9+11}{10}\\=\frac{130}{10} \\\bar x =13\\Mean=13$

Median

First we arrange the sales in ascending order

7,7,7,8,9,9,10,11,12,50

Since there are two terms in the middle, the Median =(9+9)/2 =9

Mode

The mode is the number of sales with the highest frequency.

Mode =7

Range

Range =Highest Value - Lowest value =50-7=43

(b)Mean =13, Median=9, Mode =7, Range=43

The Median seems to best represent the ten numbers. this is as a result of the fact that the value of the Mean and range were affected by the outlier number(50).

The School should therefore order T-Shirts in the range of the Median.

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2 years ago