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zysi [14]
3 years ago
9

What is the value of the expression (1/6)^-1? Write your answer as simplified as possible.

Mathematics
1 answer:
Murrr4er [49]3 years ago
8 0

Answer:

6

Step-by-step explanation:

Recall that a^{-b}=\frac{1}{a^b}. Therefore, any number n raised to the power of -1 will be  \frac{1}{n^1}=\frac{1}{n} (the reciprocal of that number).

Thus, the value of the expression \left (\frac{1}{6}\right)^{-1} is:

\left (\frac{1}{\frac{1}{6}}\right )=\fbox{$6$}.

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Which of the following trigonometric ratios are correct?
den301095 [7]

Hi there! In this problem, you should have the knowledge of three basic Trigonometric Ratio.

  • sinA = opposite/hypotenuse
  • cosA = adjacent/hypotenuse
  • tanA = opposite/adjacent

Now that we know three basic ratio. Let's check each choices!

  • sin50° = d/c

This choice is wrong because we focus on the 50° angle. When we focus on 50°, sin50° should be d/x and not d/c.

  • sin50° = c/x

This choice is also wrong because in ratio, it's cos50° that adjacent/hypotenuse.

  • tan50° = d/c

This choice is correct! As ratio states, tanA = opposite/adjacent.

  • tan50° = x/c

This choice is wrong. x/c is a reciprocal of cosine which is 1/cos. We call the reciprocal of cosine as secant or sec in short.

  • cos50° = x/d

This choice is wrong as x/d is a reciprocal of sine which is 1/sin. We call the reciprocal of sine as cosecant or cosec/csc in short.

  • cos50° = c/x

This choice is right by the ratio. Nothing really much to explain since we follow by ratio that is defined.

Answer

  • tan50° = d/c
  • cos50° = c/x

Questions can be asked through comment.

Furthermore, tan also has its reciprocal form itself which is called cotangent also known as cot in short.

Hope this helps, and Happy Learning! :)

8 0
3 years ago
What is the equation of the graph?
Inessa05 [86]
X=-4 is the answer because all of the points of the line are x=-4
3 0
3 years ago
Read 2 more answers
Find the first term of the arithmetic sequence in which a38= -5 and the common difference is -2.9
mestny [16]

Answer:

102.3

Step-by-step explanation:

a_38 = -5

difference d= -2.9

We use general formula

a_n = a_1 + (n-1)d

WE make the formula for a_38 th term

Plug in 38 for n

a_{38} = a_1 + (38-1)d

Now plug in -2.9 for d and -5 for a_38

-5 = a_1 + (38-1)(-2.9)

-5 = a_1 - 107.3

Now add 107.3 on both sides

102.3 = a_1

option A is correct



3 0
3 years ago
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What is the area of this triangle?
ki77a [65]

Answer:

The area of this triangle is.. 30 in^2

Step-by-step explanation:

6 x 10 divided by 2 = 30

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3 years ago
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Need help ASAP !!!!!
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