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3 years ago

16) Please help with this question. Please answer with normal text (Ex: pi/4,etc... not math settings).

Mathematics

1 answer:

svetlana [45]3 years ago

6 0

We can use tan(x) = sin(x)/cos(x). Plug in numbers to get:
tan(x+pi/2) = sin(x+pi/2)/cos(x+pi/2)

Here, you can use the sin and cos addition identity:
tan(x+pi/2) = (sin(x)cos(pi/2)+cos(x)sin(pi/2))/(cos(x)cos(pi/2)+sin(x)sin(pi/2))

If you simplify this, you get:
0+cos(x)/0-sin(x)

Which is the definition of cot(x). But, we can't forget about the '-' sign, so, the answer is -cot(x)

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Solve the equation below. f(x)=2-x

Shalnov [3]

Answer:

Either 1 or 0

Step-by-step explanation:

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3 years ago

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The line that contains the point Q( 1, -2) and is parallel to the line whose equation is y - 4 = 2/3 (x - 3)

Musya8 [376]

Answer:

y + 2 = $\frac{2}{3}$ (x - 1)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 4 = $\frac{2}{3}$ (x - 3) ← is in point- slope form

with slope m = $\frac{2}{3}$

Parallel lines have equal slopes, thus equation of parallel line

with m = $\frac{2}{3}$ and (a, b) = Q(1, - 2) is

y - (- 2) = $\frac{2}{3}$ (x - 1) , that is

y + 2 = $\frac{2}{3}$ (x - 1)

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3 years ago

What is the quotient of the fractions below? 3/5 divided by 5/11

Afina-wow [57]

Answer:

1 8/25

Step-by-step explanation: its right

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3 years ago

An automobile manufacturer sold 30,000 new cars, one to each of 30,000 customers, in a certain year. The manufacturer was intere

snow_lady [41]

A) In order to create a sampling plan, you need to follow the following 5 steps:
1) Define the sample population: who are the customers you want to contact?
 The costumers who bought a new car on a certain year.
2) Define the size of population: how many customers are you going to contact?
 Of the 30000 customers who bought a car, you want to contact 1000 customers.
3) Define the contact options: how are you going to contact the customers?
 You have a list of names and addresses, therefore you can send a questionnaire via mail.
4) Form a sampling frame: what is the time or contact frame to get in touch with your customers?
 You will send the questionnaires and you will wait two months for the answer.
5) Define the analysis method: is yours a qualitative or quantitative research?
 In your case, you want a quantitative research and therefore a probabilistic sampling.

B) The 32.5% probability refers to customers having issues with the power doors locks among the costumers who had problems, it does not consider the customers who did not have any problem or those who had problems after the first 5000 miles.

C) In order to find the probability of a power door lock problem if there have been problems within the first 5000 miles, we need to consider the whole sample:
P = 13 / 1000
 = 0.013

Therefore,
N = 0.013 × 30000
 = 390

Hence, the number of new cars sold that experienced a problem with the power door locks within the first 5000 miles will be 390.

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3 years ago

(sin (x+y)) / sinxcosy = 1+ cot(x) + tan(y)

ivann1987 [24]

Answer:

sin (×+y)/sinx cosy =1+ cotx tany

from trig ratio Sin [x +y] = sinx Cosy + cosx siny

Sinx cosy + cosox siny./Sinx cosy

then check the attachments for further information

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2 years ago