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Tresset [83]
1 year ago
6

Cual es el resultado de (5)⁶

Mathematics
1 answer:
Rasek [7]1 year ago
5 0

Answer:

15625

Step-by-step explanation:

5x5x5x5x5x5=15625

5 times itself 6 times

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The answer is option 2,

2x10^10
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I think it is -2, if that helps
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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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What is -1 2/3 x (-5 1/4)?<br> i need help! ASAP
Vera_Pavlovna [14]

Answer:

35/4

Step-by-step explanation:

Change -1 2/3 into -5/3. Change -5 1/4 into -21/4.

Multiply -5/3 by -21/4= 105/12

Reduces down to 35/4

4 0
3 years ago
What is the check digit, d, for the UPC bar code number shown below? 0-24679-36163-d
Juli2301 [7.4K]

Answer:

The check digit is 7.

Step-by-step explanation:

Check digit can be calculated by the following way:

  • Add all the digits except the check digit that is the last digit on the   right side.

             Total = 0 + 2 + 4 + 6 + 7 + 9 + 3 + 6 + 1 + 6 + 3

             Total = 47

  •      Add the digits at odd starting from left, double this amount and          finally add it with the total from step 1.

             = 0 + 4 + 7 + 3 + 1 + 3

       Sum =  18

      Doubling the sum = 36

     Adding it with the total from step 1, we get

        Total = 36 + 47

        Total = 83

  •  Subtract the last digit of the total from step 2 with 10, and this will be check digit.

        Check Digit  = 10 - 3

        Check Digit  = 7

3 0
3 years ago
Read 2 more answers
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