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denis23 [38]
2 years ago
13

The average of the total sales amount for each associate last year was 125,000. Based on this average, what is the difference be

tween the two salary options each year?
Mathematics
1 answer:
Marianna [84]2 years ago
5 0

Answer:

a

Step-by-step explanation:

aa

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In your opinion, which step includes a mistake:
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yes Cecilia make her first mistake in step 2

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Equivalent expression
Nataly_w [17]
7(x+8) could work for that
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2 years ago
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
Mr. Greenjeans planted 6 different crops on 2 acres of land. If half of it was planted with green beans, how many acres were pla
scoundrel [369]
If half of two acres was planted with green beans, the answer would be one acre
5 0
3 years ago
Math is so hard man but can someone help me
nataly862011 [7]

Answer:

a

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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