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Anuta_ua [19.1K]
3 years ago
11

Explain how you know the values of the digitsin the number 58

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
4 0
In the number 58, the 5 is in the tens place and the 8 is in the ones place
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If the radius of a circle is 10 feet, how long is the arc subtended by an angle measuring 81°?
mihalych1998 [28]
Circumference of entire circle = 2 * PI * 10
circumference of entire circle = <span> <span> <span> 62.832 feet
81 degrees is (9/40) of a circle
62.832 * </span></span></span><span>(9/40) = </span> <span> <span> <span> 14.1372 </span> </span> </span>

Source:
http://www.1728.org/radians.htm


4 0
3 years ago
Solve this quadratic equation.<br><br><img src="https://tex.z-dn.net/?f=2x%20%7B%7D%5E%7B2%7D%20%20-%205x%20%2B%202%20%3D%200" i
wariber [46]

Answer:

  x = 1/2 or 2

Step-by-step explanation:

You can factor this as ...

  2x^2 -4x -x +2 = 0 . . . rewrite the middle term to enable factoring

  2x(x -2) -1(x -2) = 0 . . . . factor by grouping

  (2x -1)(x -2) = 0 . . . . factor out (x -2)

  x = 1/2, 2 . . . . . . values of x that make the factors zero

4 0
4 years ago
A fair die is cast, a fair coin is tossed, and a card is drawn from a standard deck of 52 playing cards. Assuming these events a
dem82 [27]

Answer:

The probability is 0.0192 to four decimal places.

Step-by-step explanation:

In this question, we are asked to calculate the probabilities that three events will occur at the same time.

Firstly, we identify the individual probabilities.

The probability of 6 showing In a throw of die is 1/6

The probability of a coin showing head in a flip of coin is 1/2

The probability of a face card being drawn in a deck of cards is 12/52( There are 12 face cards in a deck of cards)

Mathematically to get the probability of all these events happening, we simply multiply all together.

This will be ;

1/6 * 1/2 * 12/52 = 1/52 = 0.0192 ( to 4 decimal place)

7 0
3 years ago
Read 2 more answers
What value of x satisfies this equation? log(5x+20)=2
Ipatiy [6.2K]

Answer:

16

Step-by-step explanation:

Given expression:

       log(5x + 20) = 2

From the given expression, we are to find x;

   Using the rule of logarithm, we can solve this problem;

             logₐb = C

                    b  = Cᵃ

So;

            log(5x + 20) = 2

  this is to base 10;

                    5x + 20 = 10²

                    5x  = 100 - 20

                    5x  = 80

                      x  = 16

5 0
3 years ago
Read 2 more answers
Solve: x^+4/x-1 = 5/x-1
AlexFokin [52]
The first step for solving this equation is to determine the defined range.
\frac{ x^{4}  }{x-1} = \frac{5}{x-1}, x ≠ 1
Remember that when the denominators of both fractions are the same,, you need to set the numerators equal. This will look like the following:
x^{4} = 5
Take the root of both sides of the equation and remember to use both positive and negative roots.
x +/- \sqrt[4]{5}
Separate the solutions.
x = \sqrt[4]{5}           , x ≠ 1
x = -\sqrt[4]{5} 
Check if the solution is in the defined range.
x = \sqrt[4]{5} 
x = -\sqrt[4]{5} 
This means that the final solution to your question are the following:
x = \sqrt[4]{5}          
x = -\sqrt[4]{5} 
Let me know if you have any further questions.
:)
7 0
3 years ago
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