16.64 average of the four races that kerri ran in seconds.
Answer:
Step-by-step explanation:
600 minus 399 is 201
<span>to answer the question above, take the LHS.
[(tan x - 1) / (tan x + 1)] =
Remember that tan x = 1 / cot x.
{[(1 / cot x) - 1] / [(1 / cot x) + 1]} =
The LCD is cot x. Multiply as needed to get the common denominator for all terms.
{[(1 / cot x) - 1(cot x / cot x)] / [(1 / cot x) + 1(cot x / cot x)]} =
{[(1 / cot x) - (cot x / cot x)] / [(1 / cot x) + (cot x / cot x)]} =
Then Simplify.
[(1 - cot x) / cot x] / [(1 + cot x) / cot x] =
Remember that (a / b) / (c / d) = (a / b) * (d / c).
[(1 - cot x) / cot x] * [cot x / (1 + cot x)] =
[(1 - cot x) / (1 + cot x )] =
RHS</span>
The answer is
<span>[(tan x - 1) / (tan x + 1)] = [(1 - cot x) / (1 + cot x )] </span>
Answer & Step-by-step explanation:
When using piecewise functions, the intervals represents what function will be used when given a certain number. So, let's begin.
For f(-3), we will use the first function because -3 is less than -1.
<em>f(-3) = 7/2 + 2(-3)</em>
<em>f(-3) = 7/2 - 6</em>
f(-3) = -5/2
For f(-1), we will use the first function again because -1 equals -1.
<em>f(-1) = 7/2 + 2(-1)</em>
<em>f(-1) = 7/2 - 2</em>
f(-1) = 3/2
For f(3), we will use the last function because 3 equals 3.
<em>f(3) = 1/4(3)</em>
f(3) = 3/4
Okay I'll try to show it step by step
Step 1. So first you need to recognise that the diagram is a right angled triangle, with the right angle being at the bottom. This means we can do Pythagoras' Theorem.
Step 2. Now that you know you can use Pythagoras' Theorem, you can apply it. If you don't know, the theorem is a² + b² = c², with, in this case, a being 5 and b being 8. This means we can do 5² + 8² = 25 + 64 = 89.
Step 3. From the previous step, we now know that the length of the side including x is √89, and because we know that part of this side is 3, if we subtract 3 from √89 we get the value of x, so: √89 - 3 = 9.434 - 3 = 6.434, which is your answer.
I hope this helps!
