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yarga [219]
3 years ago
5

Convert 45° from degrees to radians.

Mathematics
2 answers:
Vadim26 [7]3 years ago
8 0

Answer:

\displaystyle \frac{π}{4}

Step-by-step explanation:

\displaystyle [45°][\frac{π}{180°}] = \frac{45}{180}π = \frac{π}{4}

<em>Degrees to Radians</em>

\displaystyle \frac{π}{180°}

<em>Radians to Degrees</em>

\displaystyle \frac{180°}{π}

I am joyous to assist you anytime.

leonid [27]3 years ago
6 0
<h2>pi divided by four</h2>

Step-by-step explanation:

Let the angle in degrees be a

Let the angle in radians be r

If a is the angle in degrees and r is the angle in radians,

a\times \frac{\pi }{180}=r

It is given that the a=45

r=\frac{\pi}{180}\times a= \frac{\pi}{180}\times 45=\frac{\pi}{4}

So,r=\frac{\pi}{4}

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If the Volume of a box is 250 feet3 and the height is 5 feet and the length is 5
Montano1993 [528]

Answer:

10 feet

Step-by-step explanation:

Use the volume formula, V = lwh, to solve for w

Plug in the values we know:

V = lwh

250 = (5)(w)(5)

250 = 25w

10 = w

So, the width is 10 feet

7 0
3 years ago
Required information An article presents a new method for timing traffic signals in heavily traveled intersections. The effectiv
Natasha2012 [34]

Answer:

652.6-2.01\frac{311.7}{\sqrt{50}}=563.997    

652.6+2.01\frac{311.7}{\sqrt{50}}=741.203    

So on this case the 95% confidence interval would be given by (563.997;741.203)    

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X=652.6 represent the sample mean for the sample  

\mu population mean (variable of interest)

s=311.7 represent the sample standard deviation

n=50 represent the sample size  

Soltuion to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=50-1=49

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,49)".And we see that t_{\alpha/2}=2.01

Now we have everything in order to replace into formula (1):

652.6-2.01\frac{311.7}{\sqrt{50}}=563.997    

652.6+2.01\frac{311.7}{\sqrt{50}}=741.203    

So on this case the 95% confidence interval would be given by (563.997;741.203)    

6 0
3 years ago
Brandon buys a radio for 43.99 in a state where sales tax is 7%.What is the total brandon pays for the radio
guajiro [1.7K]

Answer: $47.06 if you do not round or $47.07 if you are required to round up.


Step-by-step explanation:

$43.99× .07 = 3.0793

$43.99+ $3.07 = $47.06

(If you round up then follow below)


$43.99× .07= 3.0793 (the 9 would cause you to round the 7 up to 8)

$43.99+ $3.08= $47.07


4 0
3 years ago
ou watch a roulette wheel spin 3 consecutive times and each time the ball lands in a red slot. What is the | probability that th
spayn [35]

Answer:

The probability is \frac{18}{38}=0.4736

Step-by-step explanation:

The game of roulette wheel consists in spinning a wheel with 38 slots : 18 red, 18 black and 2 green.

If we suppose that the roulette is a fair roulette, then each slot has an equal chance of capturing the ball and given that the ball lands in a red, black or green slot this event doesn't give us information about the following spin. Meaning that exists independence between each spin of the roulette wheel.

In our exercise, we spin the roulette wheel 3 consecutive times and each time the ball lands in a red slot. This doesn't give us information about the fourth spin (because of the independence).

Given that each slot has an equal chance of capturing the ball we can calculate the probability of the ball landing on a red slot on the next spin as :

P(Red)=\frac{18}{38}=0.4736

We divide the favourable cases (18 red slots) by the total cases (38 slots) in order to calculate the probability.

The probability is \frac{18}{38}=0.4736

6 0
2 years ago
Find the value for the given variables. Give the variables in simplest radical form.
Svetach [21]

\huge\boxed{ \boxed{\mathrm{ \underline{Answer}࿐  }}}

The given triangle is a right angled triangle,

so let's apply trigonometry here :

  • \sin(30)   =  \dfrac{7}{y}

  • \dfrac{1}{2}  =  \dfrac{7}{y}

  • y = 7 \times 2

  • y = 14 \:  \: units

Now,

  • \cos(30)  =  \dfrac{x}{y}

  • \dfrac{ \sqrt{3} }{2}  =  \dfrac{x}{14}

  • x =  \dfrac{14 \sqrt{3} }{2}

  • x = 7 \sqrt{3}

  • x = 12.12 \:  \: units

_____________________________

\mathrm{ ☠ \: TeeNForeveR \:☠ }

3 0
3 years ago
Read 2 more answers
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