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iris [78.8K]
3 years ago
10

2-\dfrac12n=3n+162− 2 1 ​ n=3n+16

Mathematics
1 answer:
Alexxandr [17]3 years ago
3 0

Answer:

2-\dfrac12n=3n+162− 2 1 ​ n=3n+162-\dfrac12n=3n+162− 2 1 ​ n=3n+162-\dfrac12n=3n+162− 2 1 ​ n=3n+162-\dfrac12n=3n+162− 2 1 ​ n=3n+162-\dfrac12n=3n+162− 2 1 ​ n=3n+162-\dfrac12n=3n+162− 2 1 ​ n=3n+162-\dfrac12n=3n+162− 2 1 ​ n=3n+162-\dfrac12n=3n+162− 2 1 ​ n=3n+16

Step-by-step explanation:

May I have brainliest please? :)

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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
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One half of the product of 4 and 5
quester [9]
4*5=20/2 = 10

hope helped 
8 0
3 years ago
Given that RT ≅ WX, which statement must be true?
Wittaler [7]

Answer:RT is congruent to WX

Step-by-step explanation:

4 0
4 years ago
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Help me pleaseeee!!!!!
Julli [10]

Because she needs 3 blankets and it takes 15 day per blanket(rate is given), she needs 3x15 or 45 days. She has 60 days so she can volunteer at most 15 days.

answer: s≤15

4 0
4 years ago
Use an equation to find the value of k so that the line that passes through (-4, k)(−4, k)​ and (6, −7)​ has a slope of m= -1/5.
Strike441 [17]

Answer:

The value of k is -5.

Step-by-step explanation:

To find the value of k, start by using the known information we have in the equation for slope. The equation is below.

m(slope) = (y2 - y1)/(x2 - x1)

In this equation, the first ordered pair would be (x1, y1) and the second would be (x2 , y2). So we put the values in for these variables and we get.

-1/5 = (-7 - k)/(6 + 4)

-1/5 = (-7 - k)/10

Now we can use cross multiplication to solve for k.

-1/5 = (-7 - k)/10

-1*10 = 5(-7 - k)

-10 = -35 - 5k

25 = -5k

-5 = k

4 0
3 years ago
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