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Alla [95]
3 years ago
7

Solve cot(3x)= -squareroot 3 / 3.

Mathematics
1 answer:
miss Akunina [59]3 years ago
5 0
Cotangent is the inverse of tangent function. Hence, in this case, the equation is converted to tan 3x = -1/ squareroot 3 / 3 = -squareroot 3using a calculator in the radians mode,  3x is equal to -pi/3. This means x should be equal to -pi/18. 
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The parking spaces in a city lot were created by painting rows of parallel line segments, then painting a line that cuts through
frosja888 [35]

65 is the correct option


8 0
3 years ago
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A direct variation function contains the points (2, 14) and (4, 28). Which equation represents the function?
lara [203]

Answer:

y=7x

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

we have the points (2,14) and (4,28)

Find out the constant of proportionality k

k=y/x                      

For (2,14) ----> k=14/2=7

For (4,28) ----> k=28/4=7

so                              

the value of k=7            

therefore                                          

The equation  is                                                    

y=7x                

3 0
3 years ago
Read 2 more answers
Niles and Bob sailed at the same time for the same length of time. Niles' sailboat traveled 36 miles at a speed of 6 mph, while
kykrilka [37]

Answer:

Niles and Bob were traveling for 6 hours.

Step-by-step explanation:

The speed or rate at which an object is moving can be computed using the formula:

s=\frac{d}{t}

Here:

<em>s</em> = speed

<em>d</em> = distance traveled

<em>t</em> = time taken

It is provided that Niles and Bob sailed at the same time for the same length of time.

Speed of Niles sailboat is, <em>s</em>₁ = 6 mph.

Distance traveled by Niles' sailboat is, <em>d</em>₁ = 36 miles.

Speed of Bob's sailboat is, <em>s</em>₂ = 16 mph.

Distance traveled by Bob's sailboat is, <em>d</em>₂ = 96 miles.

It took both Niles and Bob the same time to travel the respective distance.

Compute the time it took Niles to travel 36 miles at 6 mph speed as follows:

t_{1}=\frac{d_{1}}{s_{1}}

   =\frac{36}{6}\\=6

It took Niles 6 hours to travel 36 miles at 6 mph speed.

Compute the time it took Bob to travel 96 miles at 16 mph speed as follows:

t_{2}=\frac{d_{2}}{s_{2}}

   =\frac{96}{16}\\=6

It took Bob 6 hours to travel 96 miles at 16 mph speed.

Thus, Niles and Bob were traveling for 6 hours.

7 0
4 years ago
Use inductive reasoning to find the next term in this sequence 2,3,5,9,17. Then explain the rule for the pattern.
NISA [10]

We have been given the sequence 2,3,5,9,17.

We can write the terms of this sequence as

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From the above term we can see that for the first term we take exponent 0 on 2 and then add 1 .

For second term we take exponent 1 on 2 and then add 1 .

For third term we take exponent 2 on 2 and then add 1 .

Using this fact for the next term of the sequence i.e. 6th term, we can take exponent 5 on 2 and then add 1 .

Therefore, next term of the sequence is given by

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Therefore, the next term is 33.

Using the above facts, the pattern is given by

a_n=2^{n-1}+1

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The number of dogs at the animal shelter is 150 less than the number of
Hoochie [10]

Answer:

48, hope this helps!

6 0
3 years ago
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