30 degrees = pi/6 radians
Arc Length = (radius)(angle in radians)
6 = (radius)(pi/6)
radius = 36/pi or approx. 11.5 m
The slope of Anya’s line on the graph is 3
<h3>How to determine the slope of the line?</h3>
The equation is given as:
(y−2)=3(x−1)
Remove brackets
y − 2 = 3x − 3
Add 2 to both sides
y = 3x − 1
A linear equation is represented as:
y = mx + c
Where m represents the slope;
By comparison, m = 3
Hence, the slope of Anya’s line is 3
Read more about slope at:
brainly.com/question/1884491
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The equations would look like this:
y = 0.10x + 30m
y = 50m
Y = total
x = per text message
m = number of months.
Hope this helps!!!
Please include the instructions; I assume your job is to find the value of x.
<span>1/(x+1) - 1/(x+2) = 1/2 would better be written as
1 1 1
</span><span>-------- - ------------ = ----
x+1 x+2 2
Identify the LCD. It is (x+1)(x+2)(2). Mult. all 3 terms of the equation by this LCD:
2(x+2) - 2(x+1) = 2(x+1)(x+2)
We can factor out the 2 from all terms:
x+2 - x - 1 = x^2 + 3x + 2
Let's move all terms from the left to the right side:
0 = x^2 + 3x + 2 - x - 2 + x + 1
Then x^2 + 3x + 1 = 0. This is a quadratic with a=1, b=3 and c=1.
What is x?
-3 plus or minus sqrt( 9-4(1)(1) ) -3 plus or minus sqrt(5)
x = --------------------------------------------- = ---------------------------------
2 2
I rather expected to obtain an integer value for x.
Why don't you give this problem a try yourself? Suggestion: First mult. every term by 2. This will give you:
2 2
------- - ------- = 1 and this may be slightly easier to work with. Please
x+1 x+2 give it a try: try to find x that satisfies this equation.
Important: note that x cannot equal either -1 or -2.
</span>
Answer:
the length is 4 ft longer than the height
Step-by-step explanation:
