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Nikolay [14]
3 years ago
13

If f : N → N be defined by f = {(x,y) : y = x - 2, x ∈ N and x ≤ 6) , find domain and range of the function.

Mathematics
1 answer:
attashe74 [19]3 years ago
8 0

Answer:

its -3x+56=78 your welcome

Step-by-step explanation:

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Find the longer leg of the triangle.
Paha777 [63]

Answer:

Choice A. 3.

Step-by-step explanation:

The triangle in question is a right triangle.

  • The length of the hypotenuse (the side opposite to the right angle) is given.
  • The measure of one of the acute angle is also given.

As a result, the length of both legs can be found directly using the sine function and the cosine function.

Let \text{Opposite} denotes the length of the side opposite to the 30^{\circ} acute angle, and \text{Adjacent} be the length of the side next to this 30^{\circ} acute angle.

\displaystyle \begin{aligned}\text{Opposite} &= \text{Hypotenuse} \times \sin{30^{\circ}}\\ &=2\sqrt{3}\times \frac{1}{2} \\&= \sqrt{3}\end{aligned}.

Similarly,

\displaystyle \begin{aligned}\text{Adjacent} &= \text{Hypotenuse} \times \cos{30^{\circ}}\\ &=2\sqrt{3}\times \frac{\sqrt{3}}{2} \\&= 3\end{aligned}.

The longer leg in this case is the one adjacent to the 30^{\circ} acute angle. The answer will be 3.

There's a shortcut to the answer. Notice that \sin{30^{\circ}} < \cos{30^{\circ}}. The cosine of an acute angle is directly related to the adjacent leg. In other words, the leg adjacent to the 30^{\circ} angle will be the longer leg. There will be no need to find the length of the opposite leg.

Does this relationship \sin{\theta} < \cos{\theta} holds for all acute angles? (That is, 0^{\circ} < \theta?) It turns out that:

  • \sin{\theta} < \cos{\theta} if 0^{\circ} < \theta;
  • \sin{\theta} > \cos{\theta} if 45^{\circ} < \theta;
  • \sin{\theta} = \cos{\theta} if \theta = 45^{\circ}.

4 0
3 years ago
Read 2 more answers
Is the function increasing or decreasing over the interval [-3, -1)? Explain.
olga nikolaevna [1]

Answer:I actually don’t know

Step-by-step explanation:

4 0
3 years ago
2. What is the value of x if the angles<br> within a triangle are 2x +1, 7x-2 and 3x<br> +5?
noname [10]

Answer:

 x=14.67\\°

Step-by-step explanation:

The sum of all the three angles of any triangle is 180°

Putting sum of all the angles given equals to 180°

                      (2x+1)+(7x-2)+(3x+5)=180°

                              2x+7x+3x+1-2+5=180°

                                                         12x+4=180°

                                                                   x=\frac{180-4}{12}

                                                                   x=14.67\\°

The value of the x is found on solving the given angles of the triangles.

8 0
2 years ago
Gene stated that finding
statuscvo [17]

Answer:

Yes, he is correct, just divide any number by 4 and you'll get 25% of that number.

Step-by-step explanation:

3 0
2 years ago
What is the standard form for 85 million 16 thousand twelve
erastova [34]
Standard form of given question :8.5016012×10^7
5 0
2 years ago
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