<h3>
Answer: 5.5 which is choice B</h3>
Have a look at the diagram I posted below. I marked on your image to add in another angle. This angle is also 20 degrees because of congruent alternate interior angles (horizontal lines are parallel). This angle I add in is the reference angle of the triangle
opposite the reference angle is the vertical side x
adjacent to the reference angle is the horizontal side 15
We'll use the tangent rule. Make sure your calculator is in degree mode.
tan(angle) = opposite/adjacent
tan(20) = x/15
15*tan(20) = x <<-- multiply both sides by 15
x = 15*tan(20)
x = 5.45955 <<--- use calculator; this is approximate
x = 5.5 <<--- round to one decimal place
Answer:
It is showing a slope of 1/4.
Step-by-step explanation:
It is also what a linear equation would look like on a graph.
Answer:

Step-by-step explanation:
Let
C(t) ---->the total cost of the electrician's services in dollars
t ---> the number of hours
we know that
The linear function in slope intercept form is equal to

where
m is the slope or unit rate
b is the y-intercept or initial value
In this problem we have
the y-intercept is equal to
----> set fee
we have the ordered pair (2,250)
substitute the given values

Solve for m



The linear function is equal to

Use the trig ratio which
gives you the most information. Here we have opposite and hypotenuse
relative to angle x, so think sin( x ) = 14.1 / 27.9<span>Now we want to solve for x, but x is stuck inside the sine function
So how do we do this?
We can 'undo' the sine function by using the inverse sine. apply the inverse Sin to both sides of the equation.
sin^-1 ( sin(x) ) = sin^-1 ( 14.1 / 27.9)
the left side 'cancels' , leaving you with x
x = sin^-1 ( 14.1 / 27.9)</span><span>Now you need a calculator.
Make sure you are in degree mode.
Calculators can give you answer in radian or degree.
If you get a decimal answer, you are probably in radian mode.
Round up if you want nearest hundredth
30.3563 ≈ 30.36
Round up again if you want nearest tenth
30.36 ≈ 30.4
Hope this helps! :)
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Answer:
D
Step-by-step explanation:
because you are looking for an intercept and an intercept is a square equation which when divided by 4 takes a slope. WHich then D works to make the slope