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ZanzabumX [31]
3 years ago
14

Write the expression as either the sine, cosine, or tangent of a single angle. tan5x - tan2y / 1 + tan5x tan2y

Mathematics
1 answer:
Kryger [21]3 years ago
6 0
\bf \textit{Sum and Difference Identities}
\\\\
tan(\alpha + \beta) = \cfrac{tan(\alpha)+ tan(\beta)}{1- tan(\alpha)tan(\beta)}
\qquad
tan(\alpha - \beta) = \cfrac{tan(\alpha)- tan(\beta)}{1+ tan(\alpha)tan(\beta)}\\\\
-------------------------------\\\\
\cfrac{tan(5x)-tan(2y)}{1+tan(5x)tan(2y)}\implies tan(5x-2y)
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1 5/6 divided by 5/6
marshall27 [118]
15 /6÷ 5/6
when we divide fractions we do the reciprocal of the second number that is of
5/6 = 6/5 and then multiply it by the first number
15/6 x 6/5
ans) 3 

6 0
4 years ago
Read 2 more answers
The Math Club is selling shirts to raise money for a Pi Day Convention. Short sleeve shirts are $5 and long sleeved shirts are $
Sladkaya [172]
<h2>Answer:</h2>

# short sleeved shirts sold  is 50

# long sleeved shirts sold 35

<h2>Step-by-step explanation:</h2>

First, you need to set up the equation.

(5x)+10*(85-x)=600

5x+850-10x=600

-5x+850=600

-5x=600-850

-5x=-250

x=50


After you solve the equation, you know, that 50 short sleeve t-shirts were sold. Now, you need to find out how many long sleeved t-shirts were sold. 85-50=35. Now you know, that there were 35 long sleeved t-shirt sold.

You can now check your answers. 50*5 + 35*10=600

That is correct.

I hoped I helped you. I will be really glad, if you mark my answer with brainliest.

3 0
3 years ago
Your start-up business is looking into the energy usage in the community of south lawndale. your sample size is 12 months. use t
Aleonysh [2.5K]

The confidence interval at 95% level is

7106.87 <  μ< 14255.27

<h3>What is meant be mean and standard deviation?</h3>

The ratio of sum of observations to the total number of observation is known as mean. It is one of the central tendency in the statistics. It gives an idea about the central value present in the data. The most sensitive measure of central tendency is mean. It is very easy to calculate. Mean playa a crucial role in daily life. The two types of means are Arithmetic mean and Geometric mean.

Standard deviation is a measure in the statistics. The amount of variation of a set of values is known as standard deviation. Standard deviation is denoted by σ.

As per given data

90% confident level for amount of electricity used in community of Austin is

X-tx/2(n-1)s/√n < μ < X+ tx/2(n-1)s/√n

Here , n=12 ,  X=10681.07 , s=6893.87

Margin of error = tx/2(n-1)s/√n

=(1.796×6893.87)/√12

=3574.1996

=3574.19(approximately)

Therefore, 90% CI is,

10681.07-3574.19 ≤ μ<10681.07+3574.19

7106.87 <  μ< 14255.27

To know more about mean and standard deviation, visit:

brainly.com/question/14720855

#SPJ4

5 0
1 year ago
F(x)=x+ 5<br> g(x) = x-4
TiliK225 [7]
-5 is for f(x)=x+5
4 is for g(x)=x-4
Hope this helps!!
4 0
3 years ago
Hurry!! Answer it please:))
Ksivusya [100]

Answer:

Option C.

Domain:

{3, 0, 2, 4}

Step-by-step explanation:

The domain is the set of all the values of x.

5 0
3 years ago
Read 2 more answers
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