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Ivan
3 years ago
8

Given tanx=8/15 when pi < x < 3pi/2, find tan x/2.

Mathematics
1 answer:
S_A_V [24]3 years ago
8 0

Answer:

tan(x/2)=-4

Step-by-step explanation:

we know that

The angle x belong to the III quadrant -----> given problem

step 1

Find the angle x

x=arctan(8/15)=28.07\°

Remember that the angle x belong to the III Quadrant

so

x=28.07\°+180\°=208.07\°

step 2

Find angle x/2

x/2=208.07\°/2=104.035\°

step 3

Find tan(x/2)

tan(104.035\°)=-4

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A machine that fills bottles on an assembly line does so according to a normal distribution, where the mean amount of liquid pou
Whitepunk [10]

Answer:

The probability is P( X > 12.10 ) =0.0004

Step-by-step explanation:

From the question we are told that  

    The mean is  \mu =  11.95 \ ounce

     The  standard deviation is  \sigma  =  0.045 \ ounce

 Generally the  probability that a bottle has more than 12.10 ounces poured into it, causing it to overflow is mathematically represented as

      P( X > 12.10 ) = P( \frac{X - \mu }{\sigma }  >  \frac{ 12.10 - 11.95}{0.045} )

\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )

     P( X > 12.10 ) = P( Z > 3.33 )

From the z table  the area under the normal curve to the right corresponding to  3.33   is

     P( Z > 3.33 ) = 0.0004

=>  P( X > 12.10 ) =0.0004

6 0
2 years ago
I flew to Japan I bought shoes and I bought a shirt waht did I buy first​
Dominik [7]

The first thing you bought was a flight ticket, not shirt or shoes.

''I flew to Japan I bought shoes and I bought a shirt what did I buy first?'' passes for a simple mathematical puzzle and certainly requires the use a form of deductive reasoning and inference to be answered correctly.

<h2>Further Explanation</h2>

There are three things in the sentence that is worthy of note: Firstly, the buying of shoes, secondly, the purchase of shirt and thirdly, ''flew to Japan''.

A careful consideration must be based on what you bought that enabled you to get to the Japanese country. It is a known fact that if one must fly to another country, then a flight ticket must be purchased. To arrive at the correct answer, the only thing that enables you to get to the country to buy shoes and shirt was a flight ticket you got at the airport.  

If the flight ticket was not purchased, even with your money with you, to buy the type of shoes and shirt you wanted to buy from Japan, you would not have been able to buy those items.

Therefore, if you flew to Japan to buy shoes and a shirt, you will have bought a ticket first.

KEYWORDS:

  • japan
  • shoes
  • shirt
  • flight ticket
  • deductive reasoning
7 0
3 years ago
A quantity with an initial value of 670 decays continuously at a rate of 25% per hour.
AysviL [449]

Answer:

89.43

Step-by-step explanation:

a = 670 * (1 * .25)^7

a = 670 * (.75)^7

a = 89.43

4 0
2 years ago
On average, cody runs 4 miles in 38 minutes. How fast should he plan to run a 10-mile race if he maintains this place.
viva [34]
C. 1 hour and 35 minutes
6 0
3 years ago
en una granja sembraron 20 parcelas de locotes, con 40 plantas en cada una ¿Cuántas plantas de locotes se tienes?
Ad libitum [116K]

Answer:

800

Step-by-step explanation:

20 x 40 = 800

7 0
2 years ago
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