The club charges $10 per hour for snowboard lessons and $40 for the lift ticket and a snowboard rental.

Answer the question in the picture

Svet_ta [14]

<h3>Answer:</h3>

left picture (bottom expression): -cot(x)
right picture (top expression): tan(x)

<h3>Step-by-step explanation:</h3>

A graphing calculator can show you a graph of each expression, which you can compare to the offered choices.

_____

You can make use of the relations ...

... sin(a)+sin(b) = 2sin((a+b)/2)cos((a-b)/2)

... cos(a)+cos(b) = 2cos((a+b)/2)cos((a-b)/2)

... cos(a)-cos(b) = -2sin((a+b)/2)sin((a-b)/2)

Then you have ...

$\dfrac{\cos{2x}-\cos{4x}}{\sin{2x}+\sin{4x}}=\dfrac{2\sin{3x}\sin{x}}{2\sin{3x}\cos{x}}=\dfrac{\sin{x}}{\cos{x}}=\tan{x}$

and ...

$\dfrac{\cos{2x}+\cos{4x}}{\sin{2x}-\sin{4x}}=\dfrac{2\cos{3x}\cos{x}}{-2\cos{3x}\sin{x}}=\dfrac{-\cos{x}}{\sin{x}}=-\cot{x}$

6 0

3 years ago

The smiths have two children. The sum of their ages is 23. The produce of their ages is 132. How old are the children?

kolezko [41]

For this case we propose a system of equations:

x: Let the variable representing the age of the first child of the Smiths

y: Let the variable representing the age of the second child of the Smiths

According to the data of the statement we have to:

$x + y = 23\\x * y = 132$

From the first equation we have to:

$x = 23-y$

We substitute in the second equation:

$(23-y) * y = 132\\23y-y ^ 2 = 132\\y ^ 2-23y + 132 = 0$

We find the solutions by factoring:

We look for two numbers that, when multiplied, result in 132 and when added, result in 23. These numbers are 11 and 12.

Thus, we have that the factorized equation is:

$(y-11) (y-12) = 0$

Thus, the solutions are: $y_ {1} = 11\\y_ {2} = 12$

So, we can take any of the solutions:

With $y = 11$

Then $x = 23-11 = 12$

Therefore, the ages of the children are 11 and 12 respectively.

Answer:

The ages of the children are 11 and 12 respectively.

6 0

2 years ago

A bag contains 5 red marbles, 8 blue marbles and 6 green marbles. If three marbles are drawn out of the bag, what is the probabi

Gala2k [10]

70000000000 + 8818282828828

8 0

2 years ago

Find the LCM of 6 and 15.<br> A) 6 <br> B) 15 <br> C) 30 <br> D) 90

erastovalidia [21]

Answer:

30

Step-by-step explanation:

the answer is 30 because if you count by 6 it would go 6,12,18,24,30,36,42 and if you go by 15 it would be 15,30,45,60,75,90..... and the only number that you see twice is 30 so the answer would be 30. Hope this helped...

3 0

2 years ago

Read 2 more answers

17. The radius of a circular path is 7m. Find the cost of fencing the path if the cost per meter is Rs.35

Elis [28]

The cost of fencing the path is Rs 1539.38.

It is required to find the cost of fencing the path.

<h3>What is circle?</h3>

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. The perimeter around the circle is known as the circumference.

Given that:

radius of a circular path is 7m.

Rate = Rs .35 per meter

We know that

Circumference of circle = $2\pi r$

$2*\pi *7\\\\=43.98 m$

Circumference of circle=43.98 m

Now,

Cost = Circumference × Rate

Cost =43.98× 35

Cost = Rs 1539.38

Therefore, the cost of fencing the path is Rs 1539.38.

Learn more about circle here:

brainly.com/question/11833983

#SPJ1

6 0

1 year ago