The eatery restaurant has 200 tables on the reason even if there's no there's no reservation for one half of the tables were

Alex787 [66]

Answer:

Step-by-step explanation:

The idea here is to get the left side simplified down so it is the same as the right side. Consequently, there are 3 identities for cos(2x):

$cos(2x)=cos^2x-sin^2x$ ,

$cos(2x)=1-2sin^2x$ , and

$cos(2x)=2cos^2x-1$

We begin by rewriting the left side in terms of sin and cos, since all the identities deal with sines and cosines and no cotangents or cosecants. Rewriting gives you:

$\frac{\frac{cos^2x}{sin^2x} -\frac{sin^2x}{sin^2x} }{\frac{1}{sin^2x} }$

Notice I also wrote the 1 in terms of sin^2(x).

Now we will put the numerator of the bigger fraction over the common denominator:

$\frac{\frac{cos^2x-sin^2x}{sin^2x} }{\frac{1}{sin^2x} }$

The rule is bring up the lower fraction and flip it to multiply, so that will give us:

$\frac{cos^2x-sin^2x}{sin^2x} *\frac{sin^2x}{1}$

And canceling out the sin^2 x leaves us with just

$cos^2x-sin^2x$ which is one of our identities.

5 0

3 years ago

21. Brian wants to purchase a piece of fabric

ella [17]

Brian should purchase Choice C of fabric

Solution:

Given that Brian wants to purchase a piece of fabric that is between 49 and 53 inches long

So piece of fabric should be between: 49 and 53 inches

Choice A is $4\frac{3}{4}$ feet long

Let us convert feet to inches

$4\frac{3}{4} feet = \frac{4 \times 4 + 3}{4} = \frac{19}{4} feet$

Now convert to inches

We know that,

1 feet = 12 inches

$\frac{19}{4} feet = \frac{19}{4} \times 12 = 57 inches$

But this choice is greater than given condition that piece of fabric should be between: 49 and 53 inches

So this is not correct

Choice B is $4\frac{1}{2}$ feet long

$4\frac{1}{2} feet = \frac{2 \times 4 + 1}{2} = \frac{9}{2} feet$

Now convert to inches

$\frac{9}{2} feet = \frac{9}{2} \times 12 inches = 54 inches$

But this choice is greater than given condition that piece of fabric should be between: 49 and 53 inches

So this is not correct

Choice C is $4\frac{1}{3}$ feet long

$4\frac{1}{3} feet = \frac{3 \times 4 + 1}{3} = \frac{13}{3} feet$

Now convert to inches

$\frac{13}{3} feet = \frac{13}{3} \times 12 inches = 52 inches$

So this 52 inches lies between 49 and 53 inches

So Brian should purchase Choice C of fabric

8 0

3 years ago

What is quartile 1 (Q1)quartile 3 (Q3) and the IQR? Answer all three parts . 13, 23, 24, 25, 26, 26, 37, 47, 47, 48, 50

Fittoniya [83]

Answer:

Quartile 1 (Q1) = 24

Quartile 2 (Q2) = 47

IQR = 23

Step-by-step explanation:

Given:

The set of data are:

13, 23, 24, 25, 26, 26, 37, 47, 47, 48, 50

The data are in increasing order. The number terms are, $n = 11$ .

Therefore, the middle term = $\frac{n+1}{2}=\frac{11+1}{2}=6^{th}\ term$

So, the median = 26

Now, the median divides the set of data into two parts. The median of first part is the quartile 1 and the median of second part is quartile 2.

So, the first part has the following terms:

13, 23, 24, 25, 26

Here also, $n=5$ . So, the third term is the median.

∴ Q1 = 24

The second part has the following terms:

37, 47, 47, 48, 50

Here also, $n=5$ . So, the third term is the median.

∴ Q2 = 47.

Now, IQR = Q2 - Q1 = 47 - 24 = 23.

7 0

3 years ago

Please help please hurryyyy

marta [7]

u still doing it or no just txt if ur not

7 0

3 years ago

What is 22 divided by 748

zlopas [31]

Answer:1/34

Step-by-step explanation:

Hope I helped

7 0

3 years ago

Read 2 more answers