1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nirvana33 [79]
3 years ago
12

Anyone to help me answer this question am giving the brainliest

Mathematics
1 answer:
Arlecino [84]3 years ago
7 0

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

As we know,

  • \boxed{\sin(a + b)  =  \sin(a)  \cos(b)  +  \cos(a)  \sin(b) }

and

  • \boxed{\sin(a - b)  =  \sin(a)  \cos(b)  -  \cos(a \sin(b) ) }

now, let's add them as shown ~

  • \boxed{\sin(a  + b)   + \sin(a - b)}

  • \boxed{ \sin(a) \cos(b)   +  \cos(a) \sin(b)  +  \sin(a)  \cos(b)  -  \cos(a)  \sin(b)  }

  • \boxed{2 \sin(a)  \cos(b) }
You might be interested in
A store pays $423 for a crystal vase and marks the price up by 46%. What is the amount of the mark-up?
jek_recluse [69]

Answer:

194.58$

Step-by-step explanation:

Have a great day! :)

6 0
3 years ago
Read 2 more answers
Heights of 10 year-olds, regardless of gender, closely follow a normal distribution with mean 55 inches and standard deviation 6
IRISSAK [1]

Answer:

A normal probability plot of heights of a random sample of 500 10 year- old people should show a fairly straight line

Step-by-step explanation:

We are given that heights are normally distributed with mean=55 and standard deviation=6.

Now explaining all the given statements.

<em>Roughly 95% of 10 year-old are between 37 and 73 inches tall.</em>

This statement is not true. We know that approximately 95% of data lies within interval mean±2*standard deviation (empirical rule).

mean±2*standard deviation=55±2*6=55±12=(43,67)

So, 95% of 10 year-old are between 47 and 67 inches tall. Thus, the above statement is wrong.

<em>A 10 year-old who is 65 inches tall would be considered more unusual than a 10 year-old who is 45 inches tall.</em>

If the heights of 10 years old lie more than 2 standard deviation away then it will considered as unusual and If the heights of 10 years old lie more than 3 standard deviation away then it will considered as more unusual.

As 65 and 475 lies within two standard deviation from mean, so these are not unusual data values. So, the above statement is not true.

<em>A normal probability plot of heights of a random sample of 500 10 year- old people should show a fairly straight line.</em>

A normal probability plot shows straight line when the data is normally distributed and we know that if the population is normally distributed then then sample selected from this population is also normally distributed with mean μxbar and standard deviation σxbar. So, this statement is true.

<em>We would expect more 10 year-old to be shorter than 55 inches than taller than 55 inches</em>

Last few words were missing from the statement and i gathered them through web search.

The probability of 10 years old shorter than 55 is 50% and probability of 10 years old taller than 55 as area under the normal curve is 1 and given mean is 55. The area above mean and below mean in the normal curve is 0.5. So, we can't say that We would expect more 10 year-old to be shorter than 55 inches than taller than 55 as they have equal probabilities. Thus, the above statement is not true.

8 0
4 years ago
Write the constant of proportionality (k). Write an equation (y=kx)
Lisa [10]

Answer:

An equation of the form y = kx can be thought of as an equation of the form y = mx + b where m = k and b = 0.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Find the slope of a line that goes through (9, -10) and (-8,-9)
Doss [256]

Answer:

y = -1/17x - 17

Step-by-step explanation:

(9, -10) and (-8,-9)

\frac{-9+10}{-8-9} = -1/17       use slope formula to find the slope

y + 9 = -1/17 (x + 8)      plug numbers into point-slope formula

y + 9 = -1/17x - 136/17       use the distributive property to simplify

y= -1/17x - 17      solve and simplify

5 0
4 years ago
A rectangle is 3/5 red. The rest is blue and yellow, but not in equal ratios. What could those ratios be? PLEASE HELP
AysviL [449]
Blue can be 1/10 and yellow can be 3/10 or other way around.
3 0
3 years ago
Other questions:
  • PLEASE AWNSER WILLMARK YOU AS BRAINLEYSS A group of seventh graders and a group of teachers at a local middle school were asked
    11·1 answer
  • a theatre contains 431 seats and the ticket prices for a record play were $53 for adults and $24 for children. if the total proc
    7·1 answer
  • .38×3÷(-0.05)×5÷(-8)
    15·1 answer
  • The diagram below gives the dimensions of a swimming pool. 18 ft , 20ft, 36ft (c) What is the total area of the swimming pool? E
    12·1 answer
  • This is the manipulated variable in an experiment or study whose presence or degree determines the change in the dependent varia
    12·1 answer
  • ​Hooke's Law. The distance d when a spring is stretched by a hanging object varies directly as the weight w of the object. If th
    5·1 answer
  • Q bisects PR. If PR=28, and PQ = 2x+5, what is the value of x?
    6·1 answer
  • A college conducted a survey of randomly selected freshmen about their choice of major. The table shows the results of the surve
    12·2 answers
  • Derek buys 4 apples for every 5 oranges he buys. Which ratio represents the ratio of oranges to the total number of fruit?
    8·2 answers
  • HELP MAN PLEASE IM CRYING I NEED HELP I WILL DO ANYTHING
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!