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
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
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)
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
The first step for solving this equation is to determine the defined range.

, 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:

= 5
Take the root of both sides of the equation and remember to use both positive and negative roots.
x +/-
![\sqrt[4]{5}](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B5%7D)
Separate the solutions.
x =
![\sqrt[4]{5}](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B5%7D)
, x ≠ 1
x = -
Check if the solution is in the defined range.
x =
x = -
This means that the final solution to your question are the following:
x =
x = -
Let me know if you have any further questions.
:)