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ivann1987 [24]
3 years ago
5

Write the function tan(

}{4} -x" alt="\frac{3\pi }{4} -x" align="absmiddle" class="latex-formula">) as an expression involving functions of x only
Mathematics
1 answer:
Alenkasestr [34]3 years ago
3 0

Step-by-step explanation:

\tan( \frac{3\pi}{4}- x)  =  \frac{ \tan( \frac{3\pi}{4} ) -  \tan(x)  }{1 +  \tan( \frac{3\pi}{4} ) \tan(x)}

Since tan(3pi/4) = -1

\tan( \frac{3\pi}{4}- x)  =  \frac{ - 1 -  \tan(x)  }{1  -  \tan(x)}

=  \frac{ \tan(x)  + 1}{ \tan(x)  - 1}

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A rectangular parking lot has an area of 2/3 of a square kilometer. The width is 1/2 of a kilometer. What is the length, in kilo
jeka57 [31]
Area = length x width
 replace the known information into the equation:

area = 2/3
width = 1/2

so now the formula looks like:

2/3  = 1/2 x L

to solve for L we divide both sides by 1/2

L = 2/3 / 1/2 which  = 2/3 * 2/1 = 4/3 = 1 and 1/3 km
6 0
3 years ago
You want to make a necklace with 5 beads on it; you have a bag that contains 5 differently colored beads. You draw a bead from t
Vladimir [108]
There are 120 different combinations.

There are 5 to use for the first bead; then after it is used, 4 for the second; 3 for the third; 2 for the fourth; and 1 for the fifth and last bead:

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8 0
3 years ago
A candy company can make 360 pounds of chocolate in 6 hours how much can they make in 10 hours
LiRa [457]

Answer:

600

Step-by-step explanation:

divide 360 by 6 and you get how many pounds that can make in one hour.

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3 0
3 years ago
447,077 is_______ than 347,077
Rina8888 [55]
447,077 is Greater than 347077
6 0
3 years ago
Read 2 more answers
New York City has a population of 8.55 million and 300 square mile. Manhattan has 1.64 million and 23 square miles. How much gre
harkovskaia [24]

Given :

New York City has a population of 8.55 million and 300 square mile area .

Manhattan has 1.64 million and 23 square miles area .

To Find :

How much greater is the population density of Manhattan than New York City.

Solution :

Population density of New York City :

D_{NY}=\dfrac{8.55}{300}=0.029 \ million/mile^2\\\\D_{M}=\dfrac{1.64}{23}=0.071 \ million/mile^2

Now ,

D_{M}-D_{NY}\\\\(0.071-0.029)=0.042\ million/miles^2

Therefore , population density of Manhattan is 0.042\ million/miles^2 greater than New York City .

Hence , this is the required solution .

4 0
3 years ago
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